Write a linear equation that passes through

the points (-3, 3) and (9, -13).
In Point - Slope form.

Answers

Answer 1

The point slope form of equation is y- 3 = -4/3( x- (-3)).

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

Points= (-3, 3) and (9, -13)

Now,

slope= (-13 - 3)/ (9 - (-3))

slope= -16 / 12

slope= -4/3

Now, the point slope form

y- [tex]y_1[/tex] = m (x- [tex]x_1[/tex])

y- 3 = -4/3( x- (-3))

y- 3= -4/3x - 4

y= -4/3x - 1

Hence, the point slope for of equation is y- 3 = -4/3( x- (-3)).

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Related Questions

Which of the following is an example of the identity property of 1?
1.11(0)=0
0+2 4/5=2 4/5
11/15(1)=11/15
3-2=1

Answers

Answer:

i think third answer is write

let f(x) = x-1 graph g(x)=f(3/4x)

Answers

The graph of the function g(x) after putting the value in function f(x) is attached with the answer.

What is function?

A relation b/w a collection of inputs and outputs is known as a function. A function is a relationship between inputs in which each input is connected to precisely one output.

Given function:  f(x) = x-1

we have to find: g(x)=f(3/4x)

Putting the value of f(x) in g(x),

g(x) = 3/4x - 1

Now, the graph of the function (3/4)x - 1 is attached in the question.

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Carter shared his post with 10 friends, who each share with only 2 people each day. Carter shared his post with 10 friends, who each share with only 2 people each day.

write an exponential function to represent the spread of carters social media post. ​

Answers

The exponential function will be equal to y = 20ˣ.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Carter shared his post with 10 friends, who each share with only 2 people each day.

The exponential function will be written as,

y = abˣ

y = 10(2)ˣ

y = 20ˣ

Therefore, the exponential function will be equal to y = 20ˣ.

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Answer:

f(x) = 10(2)^x

Step-by-step explanation:

Rule for solving: The first number is the first part of the equation, and the second number is in parenthesis.

The temperature gauge in your car records the temperature to be 27°C. What is that temperature to the nearest degree Fahrenheit?

Answers

Answer:  81 degrees Fahrenheit

===============================================

Work Shown:

F = (9/5)*C + 32

F = (9/5)*27 + 32

F = 80.6

F = 81

Side note: 9/5 = 1.8

Answer:

81 degrees Fahrenheit.

Step-by-step explanation:

Using the standard Fahrenheit-Celsius conversion formula.

27 * 9/5 = 48.6.

48.6 + 32 = 80.6.

Rounded to 81.

Therefore 81 degrees Fahrenheit.

I need help please and thank you.

Answers

The inequality that relates [tex]LN[/tex] and [tex]OQ[/tex] is [tex]LN>OQ[/tex].

How far up the wall does the ladder reach (round your answer to the nearest tenth) enter only the numerical answer no label

Answers

Answer: 8.7m

Step-by-step explanation:

We can use the Pythagorean theorem to solve this,

[tex]a^2+b^2 = c^2[/tex]

We have a (5m) and c (10m) so we're looking for b.

We can rearrange the equation to find b into,

[tex]b^2 = c^2-a^2[/tex]

[tex]b^2=10^2-5^2[/tex]

[tex]b^2 = 100-25[/tex]

[tex]b^2=75[/tex]

[tex]b=8.66025404[/tex]

Rounded to the nearest tenth is 8.7m.

A shelf and bracket are shown below. The shelf is
perpendicular to the wall.

Note: The figures is not drawn to scale

What angle (x), in degrees, does the bracket make with the wall?


Answers

60 degrees is he angles which are made by bracket with the wall

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The shelf is perpendicular to the wall.

The shelf makes an angle of 90 degree to the wall because when the shelf is perpendicular then the wall and shelf should be ninety degrees.

From the shelf edge to wall there creates an angle x.

We need to find the angle x.

As it forms a right angle triangle one angle is 90 degrees and the other angles should be 60 degrees and 60 degrees.

Hence 60 degrees is the angles which are made by bracket with the wall

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Define the formula for a parabola (a quadratic function) that has horizontal intercepts (roots) at x=9.9 and x = 8.7 and passes through the point ( 0, 8.5 )

Answers

Answer:

ft HD st he do it to we if do ks do just bc

I don't know what I'm doing! HELP!!!

Answers

Booker's father amount of commission earned is 668.31 dollars.

Sophia needs to make sells of 16744 dollars in order to earn at least 1800 dollars in commission.

How to find how much commission Booker's father will earn?

Booker's father sells computer software and earns a 4.25% commission on every software package he sells.

The amount of commission he will earn after selling a software package of $15, 725 can be calculated as follows:

amount of commission earned = 4.25% of 15725

amount of commission earned =  4.25 / 100 × 15725

amount of commission earned = 66831.25 / 100

Therefore,

amount of commission earned = 668.3125

amount of commission earned = 668.31 dollars

Sophia needs to earn at least 1800 dollars each month to cover her living expenses.

The minimum she needs to sell in order to earn at least 1800 dollars if she earns 10.75% commission can be calculated as follows:

let

x = amount she needs to sell

Therefore,

10.75% of x ≥ 1800

10.75 / 100 x ≥  1800

multiply both sides by 100

10.75x ≥ 180000

divide both sides by 10.75

x ≥ 16744.1860465

x ≥ 16744

Therefore, she needs to sell 16744 dollars worth of goods.

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hi thank you for seeing this

Answers

Each pair of angles should be matched with the correct property (theorem) as follows:

e. Vertical Angles: Angles 7 and 6.

a. Alternate Exterior Angles: Angles 1 and 8.

g. Alternate Interior Angles: Angles 4 and 5.

h. Corresponding Angles: Angles 2 and 6.

d. Supplementary Angles: Angles 6 and 8.

What are parallel lines?

Parallel lines simply refers to two (2) lines that always have the same or equal distance apart and never meet.

What is the alternate exterior angle theorem?

The alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed are congruent or angles of equal measure and magnitude such as Angles 1 and 8.

What is the alternate interior angles theorem?

The alternate interior angles theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent such as Angles 4 and 5.

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The figure is cut into 12 equal pieces. Shade 2/3 of the figure.

Answers

Answer:

Step-by-step explanation:

OK:

I won't be able to draw this but if I can I will

1. Find 2/3 of the 12 pieces

2/3*12=

24/3=

8

2. Answer: Shade 8 out of 12 pieces

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Answers

Answer:should be 40 because WxL=area soooo try 40

Step-by-step explanation:

Answer:

Area = width x height

Area = 4cm x 10cm

Area = 40 cm²

Apply the distributive property to the following expression: 2n (5m -1)
I need HELP!! ASAP!!

Answers

By using the distributive property, we will rewrite the expression as:

2n*(5m -1) = 10*n*m - 2n

How to apply the distributive property?

The distributive property of the multiplication says that the product:

A*(B + C)

Can be rewritten as:

A*(B + C) = A*B + A*C

So we are "distributing" the product.

In this case, we have the expression:

2n*(5m - 1)

If we apply the distributive property, then we will get:

2n*(5m - 1) = (2n)*(5m) + (2n)*(-1)

Now we can simplify this expression to get:

(2n)*(5m) + (2n)*(-1) = 10*n*m - 2n

That is what we wanted to get.

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find the values of x, y, and z.

Answers

To find x, you would do 180-36-63, which would be 81.

Then you would do 180-81 to find z, which is 99.

To find y, would do do 180-99-13, which is 68.

Answer:

x=81

y=68

Z=99

Step-by-step explanation:

to find x we have to remember the rule that all 3 angles sum up to be 180 in a triangle

So we use this to find x

180-(63+36)=x

180-99=x

81=x

Now to find z since it is on a flat plane you just subtract 81 from 180 to find z

180-81=z

99=z

Now to find y we add all the angles of the second triangle and then subtract that sum by 180

180-(13+99)=y

180-112=y

68=y

Hopes this helps please mark brainliest

What is answer? Tell me pls :)

Answers

Answer:

when y=20

x=unknown number

x-y=16

x=16+y

x=16+20

x=36

Step-by-step explanation:

Helppp!
Triangle FJE and GKH are similar right triangles. Which statements about the slopes of FE and GH is true?

Answers

It is given in the graph that:
G(-2,1)
H(4,9)
F(-5,-3)
E(-8,-7)

Therefore we can find the slope by using the formula : y1-y2/x1-x2

Let’s find slope GH
1-9/-2-4=-8/-6=4/3

Let’s find slope FE
-3-(-7)/-5-(-8)=4/3

The slope FE is equal to the slope of GH
B) is the right answer

or Each morning, Sleepwell Hotel offers its guests a free continental breakfast with pastries and orange juice. Last year, the hotel served a total of 490 gallons of orange juice to its guests. This year, the hotel served 931 gallons of orange juice. What is the percent of increase in the amount of orange juice served yearly?

Answers

Answer:

90% increase

Step-by-step explanation:

490-931=-441

931-490=441

931/490=1.9

therefore, 190% of 441=931

Answer:90% increase

See picture-multiple choice.

Answers

From the given graph the correct statement is option (B) " As x approaches - ∞, f(x) approaches - ∞ and x approaches + ∞, f(x) approaches - ∞

From the given graph

The x axis represents the values of x, and the y axis represents the value of y

From the graph,

When the value of x moves from 0 to - ∞, then the value of f(x) is moves from 0 to - ∞

Similarly, when the value of x moves from 0 to ∞, the  the value of f(x) is increased to positive values and then decreased to - ∞.

Hence, from the given graph the correct statement is option (B) " As x approaches - ∞, f(x) approaches - ∞ and x approaches + ∞, f(x) approaches - ∞

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Hi can someone please help me? Thank you so much have a good day/night! ;)

Answers

Answer:

136 cm

Step-by-step explanation:

area of rectangle-- width x length--- 112

area of triangle-- base x height divided by 2--- 24

please mark brainiest

U= {2, 3, 4, 5, 7}
C= {2, 4}
D= {2, 7}
(a) (C n D)’=
(b) C’ U D=

Answers

The value of (CnD)'= {3,5} and the valueof C' U D = { 2,3,5,7}

What is complement of a set?

The complement of a set is the set that includes all the elements of the universal set that are not present in the given set. Let's say A is a set of all coins which is a subset of a universal set that contains all coins and notes, so the complement of set A is a set of notes (which do not includes coins).

if U = { 2,3,4,5,7}

C= { 2,4}

D= { 2,7}

therefore (CnD)= { 2,4,7}

the complement of set (CnD) that is, (CnD)' = {3,5}

complement of set C (C')= { 3,5,7}

Therefore the union of C' and D(C' U D) = { 2,3,5,7}

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Cheng is thinking a of a number

what number is Cheng thinking of ?

cheng thinking ;

I multiply my number by 100,hen divide by 10,then multiply by 1000.
My answer is 170'000
Is Cheng's answer is correct or incorrect

Answers

The number is 17

Let the number = x

From the question, we have

(x*100)/10*1000 = 170000

x = 17

Multiplication:

Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

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Question 10
Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A
pollster contacts 93 people in the 18-21 age bracket and finds that 79 of them respond and 14 refuse to
respond. When 251 people in the 22-29 age bracket are contacted, 219 respond and 32 refuse to respond.
Assume that 1 of the 344 people is randomly selected. Find the probability of getting someone in the 18-21
age bracket or someone who responds.
Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.
P(18-21 or responds) =
(Hint: It might be helpful to organize the data into a table first.)
Submit Question
%

Answers

The probability of getting someone in the 18-21 age bracket or someone who responds is 28.7%.

The total number of people in the 18-21 age bracket is 93. The number of people in this bracket who responded is 79. The number of people in this bracket who refuse to respond is 14. The total number of people in the 22-29 age bracket is 251. The number of people in this bracket who responded is 219. The number of people in this bracket who refuse to respond is 32.

A person is randomly selected from all the people surveyed. We need to find out the probability of getting someone in the 18-21 age bracket or someone who responds. Let the variables E1 and E2 represent the events.

E1 is the event of getting a person from the 18-21 age bracket.

E2 is the event of getting a person who responds.

P(E1∪E2) = P(E1) + P(E2) - P(E1∩E2)

P(E1∪E2) = (93/344) + [(79 + 219)/344] - (79/93)

P(E1∪E2) = 0.27035 + 0.86628 - 0.84946

P(E1∪E2) = 0.28717

Hence, the probability of getting someone in the 18-21 age bracket or someone who responds is 28.7%.

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PLEASE PLEASE HURRY What is −12÷2/3? Responses −36 negative 36 −24 negative 24 −18 negative 18 −8 negative 8

Answers

Answer: -18

Step-by-step explanation:

im not 100% sure but good luck :)

Answer:  -12/2/3=-2

Step-by-step explanation:

What is 1 2/3 of 32 in fractions?

Answers

Answer:

53 1/3

Step-by-step explanation:

[tex]1\frac{2}{3} =\frac{3+2}{3} =\frac{5}{3}[/tex]

[tex](32)(\frac{5}{3} )=\frac{(32)(5)}{3} =\frac{160}{3}[/tex]

[tex]\frac{160}{3} =53 +\frac{1}{3} =53\frac{1}{3}[/tex]

Hope this helps

The value of the expression is [tex]\frac{160}{3}[/tex].

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

[tex]1\frac{2}{3}[/tex] of 32

= [tex]\frac{5}{3}[/tex] x 32

[ 5 x 32 = 160 ]

= [tex]\frac{160}{3}[/tex]

Thus,

The value of the expression is [tex]\frac{160}{3}[/tex].

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Find three even numbers less than 400, each of which can be expressed as a sum of consecutive positive odd numbers in at least six different ways.

Answers

Answer:

394, 396 and 398

Step-by-step explanation:

I earn $285/week. There are 4 pays in most months. So, my monthly pay is $285 x 4 or $1140 per month.

Is my calculation of my monthly income accurate? Please explain.

Answers

Answer: Yes

Step-by-step explanation:   Most month have 4 weeks so your right.

In QRS, RS QR and m/Q = 46°. Find m/S.

Answers

In triangle QRS, ∠S=67⁰ if ∠R =∠S and ∠Q=46⁰

What is meant by an angle?

An angle is a figure in Euclidean geometry made up of two rays that share a vertex, or common endpoint, and are referred to as the sides of the angle. Two planes intersecting at an angle also produces an angle.

A measure of an angle or of a rotation is also referred to as an angle. The ratio of a circular arc's length to radius is known as this quantity. When it comes to a geometric angle, the arc's vertex serves as its center and its sides as its boundaries. When there is a rotation, the arc is defined by the rotation's image and any other point other than the rotation's center.

In triangle QRS,

And from the figure,

∠R=∠S

Therefore,

∠R+∠S+∠Q=180⁰

2∠S+46⁰=180⁰

2∠S=134⁰

∠S=67⁰

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4.8 is what percent of 12

Answers

Answer:

40%

Step-by-step explanation:

4.8 * 100 = 480

480 / 12 = 40

 = 40%

I hope this helps.

which represents a rotation of 189
degrees?
(X,y) -> (-X,-y)
(X,y) -> (X,-y)
(X,y) -> (y,X)
(X,4) -> (-X,4)

Answers

The required rotation of the 180° is given by, (X,y) -> (-X,-y), option A is correct and the required translation is given by (x + 6, y - 2), option D is correct.

Given that,
To determine which option shows the rotation of 180°, and translation of right 6 units and down 2 units.

What is coordinate?

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

Here,
For the rotation of the 180°, the given coordinate undergoes the change in direction so the required coordinate after 180° rotation is given as (-x, -y).
Now, for the translation of 6 units right we must add x with 6 and for 2 units down we must subtract y by 2, the required translation is given as(x + 6, y -2).

Thus, the required rotation of the 180° is given by, (X,y) -> (-X,-y), and the required translation is given by (x + 6, y - 2).

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b) On the grid draw the graph of x+y=6 for values of c between -2 and 3

Answers

On the grid put the point on 6 on the y-intercept and go down 2 and over 3 to the right
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