Josh has 27 signed baseballs. He places the baseballs equally on 3 shelves. How many baseballs are on each shelf?

Answers

Answer 1
There’s 9 on each shelf
Answer 2

Answer:

9

Step-by-step explanation:

27 divided by 3 equal 9


Related Questions

what is the equation of a line passing through the origin and (3a, 5g)

Answers

The equation of line passes through the points (0, 0) and (3a, 5g) will be;

⇒ y = (5g/3a) x

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (0, 0) and (3a, 5g).

Now,

Since, The equation of line passes through the points (0, 0) and (3a, 5g).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (5g - 0) / (3a - 0)

m = 5g / 3a

Thus, The equation of line with slope 5g/3a is,

⇒ y - 0 = 5g/3a (x - 0)

⇒ y = (5g/3a) x

Therefore, The equation of line passes through the points (0, 0) and

(3a, 5g) will be;

⇒ y = (5g/3a) x

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Which is the product of [tex]\frac{7}{9\\}[/tex] and 6?
( 100 POINTS )

Answers

Answer:

[tex] \sf \: \frac{14}{3} [/tex]

Step-by-step explanation:

Given problem,

[tex] \sf \rightarrow \: \frac{7}{9} \times 6[/tex]

Let's solve the problem,

[tex] \sf \rightarrow \: \frac{7}{9} \times 6[/tex]

[tex] \sf \rightarrow \: \frac{(7 \times 6)}{9} [/tex]

[tex] \sf \rightarrow \: \frac{42}{9} [/tex]

[tex] \sf \rightarrow \: \frac{14}{3} [/tex]

Hence, the product is 14/3.

Please help due soon pleaseeee!!!!!! Help

Answers

Answer:

  see attached

Step-by-step explanation:

Given the pictorial equations, you want to know the single-digit values of each of the images.

Equations

There are 6 equations in 5 unknowns, but no numerical values are assigned. Solving the equations will only give ratios of values. From those, we need to determine the numerical values that will keep all numbers in the range 1–9.

Let the icons be represented by letter variables as follows:

hat  = hboot = bsock = stennis shoe = tmitten = m

Rewriting the equations to standard form, we have ...

  h +b -m -s = 0 . . . . . [eq1]

  h -b +t = 0 . . . . . . . . [eq2]

  b -3s = 0 . . . . . . . . . [eq3]

  h -s -t +m = 0 . . . . .  [eq4]

  h +2s -m = 0 . . . . . . [eq5]

  h +b +s -2t = 0 . . . . . [eq6]

Solution

We can add [eq4] to [eq1] and [eq5] to eliminate the m variable.

  (h +b -m -s) +(h -s -t +m) = 0   ⇒   2h +b -2s -t = 0 . . . . [eq7]

  (h +2s -m) +(h -s -t +m) = 0   ⇒   2h +s -t = 0 . . . . . . . . . [eq8]

Adding [eq2] to [eq6], and [eq7] will eliminate the b variable.

  (h +b +s -2t) +(h -b +t) = 0   ⇒   2h +s -t = 0 . . . . same as [eq8]; no help

  (2h +b -2s -t) +(h -b +t) = 0   ⇒   3h -2s = 0 . . . . . [eq9]

Now, we have 3 equations in 4 unknowns:

  b -3s = 0 . . . . . . . [eq3]

  3h -2s = 0 . . . . . . [eq9]

  2h +s -t = 0 . . . . . [eq8]

The smallest positive integer values that will satisfy [eq9] are ...

  h = 2, s = 3

Using these in the remaining equations gives ...

  b -3·3 = 0   ⇒   b = 9

  2·2 +3 -t = 0   ⇒   t = 7

And we can find m using [eq5]:

  m = h +2s = 2 +2·3 = 8

Then the solution is ...

hat = 2boot = 9sock = 3tennis shoe = 7mitten = 8

Help please with this maths

Answers

The radius of the sphere is 9 cm.

What is a sphere?

It is a three-dimensional figure where the volume is given as:

The volume of a sphere is 4/3πr³.

We have,

The surface area of a sphere = 324π cm²

4πr² = 324π

r² = 324/4

r² = 81

r = √81

r = ±9

r = -9 cm (rejected)

r = 9 cm

Thus,

The radius is 9 cm.

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True or false? The graph represents a function.

Answers

Answer:

true :)

Step-by-step explanation:

answer is true ! graph shows a function

Select the correct answer. Which value in this data set is an outlier? 4, 5, 1, 7, 4, 5, 8, 9, 6, 5, 4, 9, 7 A. 1 B. 2 C. 3 D. 9

Answers

So, on solving the provided question, we can say that the outlier from the following data set will be 8.

What is outlier?

Outliers are data points that deviate from the distribution's typical pattern. a value that is "outside" of the record's typical range (either significantly lower or substantially greater). For instance, both 3 and 85 are "outliers" when the scores are 25, 29, 3, 32, 85, 33, 27, 28, etc. Move away. Look for values that are significantly larger or significantly smaller than all other values to identify outliers. Because it is significantly smaller than all other values, Value 4 is an outlier. An observation that differs unusually from other values in a population sample taken at random is referred to as an outlier.

outlier = 4, 5, 1, 7, 4, 5, 8, 9, 6, 5, 4, 9, 7

outlier = 8

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For any of the vehicles listed in the table,

how many days can you rent the vehicle

before it would be less expensive to rent

for the week?

Answers

A person can rent any of the vehicles shown in the table for a minimum of two to three days before it becomes more expensive for a week.

Algebra state that it is the study of the laws and symbols of mathematics as well as the manipulation of these symbols.

The rent of the small car for a week is $250 and for a day is $100. Then,

The maximum number of days that a car could be rented is,

= 250÷100

= 2.5 days

≅ 3 days

Then, for the medium car is,

= 290÷110

= 2.7 days

≅ 3 days

For the luxury car is,

= 325÷120

= 2.7 days

≅ 3 days

For Small van is,

= 350÷150

= 2.3 days

≅ 2 days

For Large van is,

= 390÷170

= 2.2 days

≅ 2 days

We can conclude from the above calculations that a person can rent a car for 2-3 days before it becomes more expensive for a week.

The complete question is -

For any of the vehicles listed in the table, how many days can you rent the vehicle before it would be less expensive to rent for the week?

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Geometry Questions....need help pls

Answers

This given figure carries onto themself at 360, 180, and 60 degrees respectively.

What does carrying a figure onto itself mean?

If a rotation between 0° and 360° around the center of a figure in the plane may map the figure onto itself, the figure possesses rotational symmetry. From its starting point, the figure can be rotated and mapped onto itself. The symmetry is of order 4. As a result, the figure displays both rotational and line symmetry.

Given three figures those figures have rotational symmetry from their center point.  The fixed point that the rotation revolves around in a figure or object with rotational symmetry is referred to as the center of rotation.

for figure 1

figure 1 does not have rotational symmetry on any given angles thus, its rotational symmetry would be 1 since it carries onto itself at 360°.

for figure 2

figure 2 has rotational symmetry at 180°. thus, its rotational symmetry would be 2 since it carries onto itself at 180° and 360°.

for figure 3

figure 3 has rotational symmetry at 60, 120, 180, and 240. thus, its rotational symmetry would be 6 since it carries onto itself at 60, 120, 180, 240, and 360°.

therefore, the given figures have 1, 2, and 6 rotational symmetry.

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Lauren throw a ball with an initial velocity of 40 feet per econd. The equation for the of the ball i h =- 16t? 40t 5, where h repreent the height in feet and t repreent the time in econd. When will the ball reach a height of 3 feet?

Answers

The ball will reach a height of 3 feet at t = 5/4 seconds.

To find the time (t) when the ball reaches a height of 3 feet, we need to use the equation for the height of the ball: h = -16 [tex]t^2[/tex] + 40t + 5

We are given that the height of the ball is 3 feet, so we can set up the equation:

3 = -16[tex]t^2[/tex] + 40t + 5

Then we can solve for t by isolating t on one side of the equation and then solving for t:

3 = -16[tex]t^2[/tex] + 40t + 5

-5 = -16[tex]t^2[/tex] + 40t

16[tex]t^2[/tex] - 40t - 5 = 0

We can factor the left side of the equation:

(4t - 5)(4t + 1) = 0

So we have two possible solutions:

t = 5/4 or t = -1/4

However, the time cannot be negative, so the only valid solution is t = 5/4.

So the ball will reach a height of 3 feet at t = 5/4 seconds.

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Please help me find the shaded area!

Answers

Answer:

216

Step-by-step explanation:

first multiply 4by6 to get that area we will call that a

then 12 by 20 to get that area we will call that b

the shaded area is a's area minus B's area

(12*20)-(4*6)

240-24

216

Answer:

216 in²

Step-by-step explanation:

(12)(20) - (4)(6) = 240 - 24 = 216

HELP!! Find the value of… (picture)

Answers

Answer:

C. 94

Step-by-step explanation:

|A| = [tex]\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]

det(A) = a * [tex]\left[\begin{array}{ccc}e&f\\h&i\\\end{array}\right][/tex] - b * [tex]\left[\begin{array}{ccc}d&f\\g&i\\\end{array}\right][/tex] + c * [tex]\left[\begin{array}{ccc}d&e\\g&h\\\end{array}\right][/tex]

OR

det(A) = aei - afh - bdi + bfg + cdh - ceg

|A| = [tex]\left[\begin{array}{ccc}-2&-2&-5\\2&7&-3\\8&9&9\end{array}\right][/tex]

det(A) = -2 * [tex]\left[\begin{array}{ccc}7&-3\\9&9\\\end{array}\right][/tex]  - (-2) * [tex]\left[\begin{array}{ccc}2&-3\\8&9\\\end{array}\right][/tex] + (-5) * [tex]\left[\begin{array}{ccc}2&7\\8&9\\\end{array}\right][/tex]

OR

det(A) = (-2)(7)(9) - (-2)(-3)(9) - (-2)(2)(9) + (-2)(-3)(8) + (-5)(2)(9) - (-5)(7)(8)

det(A) = 94

Simplify the expression please!

Answers

Using the provided expression and the law of indices, The power get subtracted in division, The answer is [tex]6^{22}[/tex] .

What is a mathematical expression?

A mathematical expression is a combination of numbers, variables, and mathematical operations that defines a specific value or a set of values. Examples of mathematical expressions include 2+3, x^2+y^2, and sin(x) + cos(y). These expressions can be evaluated to find a specific numerical value or they can be simplified, rearranged or manipulated using algebraic rules.

What do you mean by law of indices?

The laws of indices, also known as the laws of exponents, are a set of rules that govern how exponents (or indices) are used in mathematical operations. These laws include:

a^m * a^n = a^(m+n) (product of powers)(a^m)^n = a^(m*n) (power of a power)a^m / a^n = a^(m-n) (quotient of powers)(a^m)^(-n) = a^(-m*n) (power of a reciprocal)

These laws allow us to simplify expressions with exponents and make it easier to perform calculations involving them.

[tex]= \frac {6^{15}}{6^{-7}}\\= 6^{15-(-7)}\\= 6^{15+7}\\=6^{22}[/tex]

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The newest streaming service costs $9.24 per month with
tax. If tax is 5%, how much is the streaming service before
tax and how much does a year of the service cost?

Answers

Tax = 5%
Total = $9.24

Tax = 9.24 x 0.05 = 0.462

Answers:
Total before tax = 9.24 - 0.462 = $8.778
Year of service = 8.778 x 12 = $105.336

Have a good day ^^

Is 2025 a perfect square Yes or no?

Answers

EXPLANATION

2025 is a perfect square number hence we can determine its square root. 45 is the square root of 2025 as 45 multiplied by 45 gives the number 2025. Interestingly, – 45 × – 45 is also 2025. Hence It is represented as √2025 = 土45.

All of Marcy's marbles are blue, red, green, or yellow. One third of her marbles are blue, one fourth of them are red, and six of them are green. What is the smallest number of yellow marbles

Answers

After solving, the smallest number of yellow marbles are 4.

In the given question, all of Marcy's marbles are blue, red, green, or yellow.

One third of her marbles are blue, one fourth of them are red, and six of them are green.

We have to find the smallest number of yellow marble.

The 6 green marbles and yellow marbles of the total marbles = 1 - (1/3) - (1/4)

The 6 green marbles and yellow marbles of the total marbles = 5/12

Now, suppose the total number of marbles is x

We know the number of yellow marbles is 5/12 x-6 and a positive integer.

Therefore, 12 must divide x

Trying the smallest multiples of 12 for x.

We see that when x = 12

We get there -1 yellow marbles, which is impossible.

However, when x = 24 here are

= 5/12 x - 6

= 5/12*24 - 6

= 4

So, the yellow marbles are 4 which must be the smallest possible.

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Does this graph represent a function?
Does this graph represent a linear rule?
Explain your answer!
PLS HELP THIS IS TEST

Answers

Answer:

it is a function because it passes a vertical line test.

Step-by-step explanation:

Optimization A cone is made from a circular sheet of radium R by cutting out a sector and gluing the cut edges. What is the maximum volume of the cone

Answers

The cone should have its maximum volume. V=1/*3r2h is the formula for calculating the volume V of a cone with height h and radius r.

How do you find the maximum volume of a cone?

The cone has a volume of

V=πr2h/3

Therefore, we must calculate the values of r and h in terms of R. R is the diameter of the cone's top-circular circle, and h is the cone's height.

R is the cone's slant height, and it serves as the hypotenuse of a right triangle.

R2 = h2 + r2, or r2 = R2-h2.

So V = (1/3)π

[R2-h2]

h = (π/3)[R2h-h3]

You must take the derivative of the cone's volume, set it to zero, then solve for h to determine the cone's maximum volume.

dV/dh=(π/3)[R2-3h2]

R2-3h2=0 --> h2=R2/3 -> h = R/√3

Now we can determine r:

r2=R2-R2/3 = (2/3)R2

The volume formula with r and h substituted:

V = (π/3)

r2h = (π/3)(2R2/3)

(R/√3)

V(R)=2πR3/(9√3)

The complete question is:

A cone-shaped drinking cup is made from a circular piece of paper of radius R by cutting out a sector and joining the edges CA and CB. Find the maximum capacity of such a cup (Your answer may depend on R).

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If 2 of the 1000 test subjects are randomly selected find the probability that they both had false positive results. Is it unlikely to randomly select 2 subjects and get 2 results that are both false positive results

Answers

Using the concept of conditional probability and the conditions provided, The answer is [tex]\frac {p^2}{2pq}[/tex] .

What do you mean by probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probabilities can be calculated using the ratio of the number of favorable outcomes to the total number of possible outcomes. It helps us to understand the uncertainty of events.

What do you mean by false positive results?

A false positive result is when a test indicates that a particular condition or attribute is present, when in reality it is not. For example, in medical testing, a false positive result would occur when a test for a disease returns a positive result but the person being tested does not actually have the disease. False positives can have serious consequences, as they can lead to unnecessary treatments, further testing, and anxiety for the person being tested.

p=probability of occurrence

q=1-p

P(false positive for both subjects | false positive for one subject) = P(false positive for both subjects and false positive for one subject) / P(false positive for one subject)

P(false positive for both subjects | false positive for one subject) = p^2 / (2pq)

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Is (-1, 0) a solution to this inequality?

Answers

Answer:

False

Step-by-step explanation:

y < -2x -2 Substitute in -1 for x and 0 for y and see if the statement is true.

0 < -2(-1) - 2

0 < 2-2

0 < 0  

This is a false statement.                                                                                                                                                                                                                                                                  

Answer: A / No.

Step-by-step explanation:

     We will substitute the point given, (-1, 0) and see if the inequality is true after simplifying.

     Given:

y < -2x - 2

     Substitue:

0 < -2(-1) - 2

     Multiply:

0 < 2 - 2

     Subtract:

0 < 0 ✗

     0 is not less than 0, so this point is not a solution.

Write a multiplication expression using the following clues one factor is a two digit number between one and ten one factor is a two digit number between 1 and 10 but different from the first the product is greater than 8 but less than 10

Answers

first expression = 1×2, 1×1, 1×3, 1×4, 1×5, 1×6, 1×7, 1×8, 1×9, 2×2, 2×3, 2×4, 3×2, 3×3, 4×2 and second expression = 1×9

what is expression?

In mathematics, an expression is a statement that represent the method of mathematical operation in a symbolic form. An expression is developed based on numerical terms or both numerical and variable terms along with operator or signs.

What is the multiplication expression stated in the question?

it is stated that one factor is a two-digit number between one and ten.

the multiplication expression can be 1×2 , 1×1, 1×3, 1×4, 1×5, 1×6, 1×7, 1×8, 1×9, 2×2, 2×3, 2×4, 3×2, 3×3, 4×2

In the next, the multiplication expression for 2nd statement:

one factor is a two-digit number between one and ten and their product is greater than 8 and less than 10

1×9

the above is greater than 8 and less than 10.

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Calculate the bearing of A from B.
N
B
73°
N
A

Answers

The direction of A with respect to B. N B 73° N A is 287

Explain about the direction?

A direction is the way that something is moving, directing, or moving toward something or someone. The directions could be Up, Down, Left, and Right, or North, South, East, and West.

The ability to specify where one thing is in relation to another is known as position in mathematics. Defining direction entails explaining the direction in which something moves, such as forward, backward, or in a full or half turn.

It is possible to define direction using relative terms like up, down, in, out, left, right, forward, backward, or sideways. A direction can also be denoted by one of the four cardinal directions: north, south, east, or west.

Angles at a point add up to 360 degrees.

⇒ Bearing from A to B is = 360° - 73° = 287°.

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A bag contains 2 snicker bars, 8 trix bars , and 5 crunch bars. A candy is chosen, replaced, then another is chosen, what is the probability of choosing a trix bar then a crunch bar?

Answers

The probability of choosing a trix bar then a crunch bar exists 8/45.

What is Probability?

Mathematics' field of probability deals with numerical assessments of how likely an event is to occur.

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty.

The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.

Probability = Number of favorable outcome / Number of total outcome

Given,

Number of snicker bars = 2

Number of trix bars = 8

Number of crunch bars = 5

Total number of candy bars = 2 + 8 + 5 = 15

8 trix, so picking a trix would be 8/15

5 crunch bars, picking a crunch would be 5/15, which reduces to 1/3

Probability of both: 8/15 x 1/3 = 8/45

Therefore, the probability of choosing a trix bar then a crunch bar exists 8/45.

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The probability of choosing a trix bar then a crunch bar exists 8/45.

What is Probability?

Probability theory deals with numerical evaluations of the likelihood that an event will occur.

Probabilities are mathematical explanations of the likelihood that an event will occur or that a proposition is true. The likelihood of an event is represented by a number between 0 and 1, with 0 typically signifying impossibility and 1 typically signifying certainty.

A probability represents the likelihood or chance that a particular occurrence will take place. Probabilities can be expressed as ratios between 0 and 1, or as percentages between 0% and 100%.

Probability = Number of favorable outcome / Number of total outcome

Given,

Number of snicker bars = 2

Number of trix bars = 8

Number of crunch bars = 5

Total number of candy bars = 2 + 8 + 5 = 15

8 trix, so picking a trix would be 8/15

5 crunch bars, picking a crunch would be 5/15, which reduces to 1/3

Probability of both: 8/15 x 1/3 = 8/45

Therefore, the probability of choosing a trix bar then a crunch bar exists 8/45.

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Jordann is painting her kitchen. To get the color she wants, she mixes 6 parts red paint and 2 parts yellow paint.

1) Write the ratio of parts red paint to parts yellow paint as a fraction.

2) Then, write the unit rate of red paint to yellow paint. (How many parts of red paint does she need for every 1 yellow part?)

What color do you imagine her kitchen will be?!

Answers

Answer:

1. 6:2

2.for every 1 yellow paint, she needs 3 red paints

3.an orange

Step-by-step explanation:

1. It would be 6:2 because for every 2 parts yellow she needs 6 parts red

2. Since the ratio is first 6:2, just divide it by 2 since there is 2 yellow and it's asking how much red you need for 1 yellow

65 POINTS TO WHO EVER ANSWERS CORRECT
Kim and her friends watched the server making smoothies. The table shows the number of mangos that were used for each of the different sizes of smoothies that the friends ordered.


Mangos Used Smoothie Size
Kim 1 8 oz
Bri 3 24 oz
Angela 4 32 oz


Which statement is correct based on the data?

1. The ratio of smoothie size to mangos used for Kim is 1:8, and the ratio of smoothie size to mangos used for Bri is 3:24.

2. The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.

3. The ratio of smoothie size to mangos used for Angela is higher than the ratio of smoothie size to mangos used for Kim.

4. The ratio of smoothie size to mangos used for Bri is 64:3, and the ratio of smoothie size to mangos used for Angela is 64:4.

Answers

The correct statement based on the data is,

⇒ The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.

Option 2 is true.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

The given table shows the number of mangos that were used for each of the different sizes of smoothies that the friends ordered.

       Mangos Used    Smoothie Size

Kim         1                         8 oz

Bri           3                        24 oz

Angela    4                        32 oz

Now, By definition of ratio, we get;

The ratio of smoothie size to mangos used for Bri is,

⇒ 24 : 3

⇒ 8 : 1

And, The ratio of smoothie size to mangos used for Angela is,

⇒ 32 : 4

⇒ 8 : 1

Thus, The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.

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David went shopping for a new phone because of a sale. The price on the tag was $46, but David paid $39. 10 before tax. Find the percent discount

Answers

The percent discount on the new phone is 15%.

Discount refers to a reduction in the original price of a product or service. It is a way for businesses to incentivize customers to purchase their products by offering a lower price than the original price.

To find the percent discount, we need to divide the amount of the discount by the original price, and then multiply by 100 to express the answer as a percentage.

Discount = Original Price - Sale Price

Discount = $46 - $39.10

Discount = $6.90

Percent Discount = (Discount / Original Price) x 100

Percent Discount = ($6.90 / $46) x 100

Percent Discount = 15%

Therefore, the percent discount is 15%.

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Write the coordinates of the vertices after a translation 1 unit down.

Answers

Answer:

M(4,0)

K(0,5)

L(6,5)

go down one

How do you solve 2x 3y =- 6?

Answers

We can solve this equation using the distributive property. First, we will use the distributive property to multiply the 3y by 2.

What is distributive property?

The distributive property is a mathematical rule that allows you to multiply a single number by a group of numbers by multiplying the single number by each number in the group individually. This rule can be expressed in two ways. The first way is a(b + c) = ab + ac. The second way is a(b - c) = ab - ac.

This will give us 2x * 3y = 2(3y). Then, we will subtract 6 from both sides of the equation, which gives us 2x * 3y - 6 = 2(3y) - 6. We can then divide both sides of the equation by 6, which gives us 2x * 3y / 6 = 2(3y) / 6. Finally, we can divide both sides of the equation by 3y, which gives us 2x = -2. Therefore, the solution to 2x 3y = -6 is 2x = -2.

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The equation of line R, shown below, can be
written in the form y = mx + c.
What are the values of m and c?
Give each of your answers as an integer or
as a fraction in its simplest form.

Answers

Straight line has the equation is, y = 5x - 4.

What is a straight line's mathematical equation?

An endless number of points that are connected on both sides of the point make up a straight line.

The slope of a straight line, "m," is determined by:

m = y2 - y1 / x2 - x1

A linear equation has the expression y = mx + b in slope-intercept form. X and Y are the variables in the equation. The numbers m and b stand for the line's slope (m) and the value of y at x = 0.

The graph's acquired points are (0,-4) and (1,1)

The slope is ,

m = 1-(-4) / 1-0

  = 5/1

  = 5

The line's equation will be as follows since it crosses the y-axis at its intersection point, where C = -4.

⇒ y = mx + c

⇒ y = 5x + (-4)

⇒ y = 5x - 4

As a result, y = 5x - 4 is the equation for the straight line depicted below.

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Find the value of x in each parallelogram

Answers

Answer:

Step-by-step explanation:

a) x and 53 are adjacent angles of a parellelogram:

therefore, their sum will be 180 degrees

x + 53 = 180 --> x = 180 - 53 = 127 degrees

b) We know that opposite angles in a parallelogram are equal:

therefore, x = 113 degrees

c) Similarly, x = 80 degrees

d) x + 62 = 180

x = 180 - 62 =  118 degrees

Olving ytem of linear equation in two variable
1. 4x8y=24 2. 2xy=19 3. 3x2y=15
4x2y=12 x-y=11 x2y=10

Answers

The solution of this system of linear equations is x=3, y=-5.

To solve this system of linear equations, you can use various methods such as substitution, elimination, or matrices. Here is one way to solve using the substitution method:

From equation 2, we can find the value of x in terms of y: x = (11+y)/2Substitute this value of x into equations 1 and 3:

4((11+y)/2) + 8y = 24

3((11+y)/2) + 2y = 15

Solve for y in the first equation: 8y = 24 - 44 = -20

y = -5

Substitute this value of y back into equation 2 to find x:

x = (11 + (-5))/2

x = 3

Substitute the values of x and y back into the original equations to check if they are correct:

4(3) + 8(-5) = 24

3(3) + 2(-5) = 15

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The question is -

Solving a system of linear equations in two variables,

4x + 8y = 242x - y = 113x + 2y = 15
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