Y=4x-4 two step function table

It is given that a 45-45-90 triangle whose each leg is 12 cm, then the length of the hypotenuse can be found out as 12/√2

since the hypotenuse is one of the legs multiplied by √2.

dividing the hypotenuse by √2 will get the length of one leg. since it is a 45 45 90 triangle, the length of the two legs are the same.

It is given that  a 45-45-90 triangle whose each leg is 12 cm, then the length of the hypotenuse can be found out as:

By using the Pythagoras theorem, we have

a^2+b^2= c^2

Substituting the given values, we have

12/√2

Thus, the length of the hypotenuse will be

12/√2

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The Angle-Angle-Angle (AAA) criterion for the similarity of triangles states that "If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or percentage) and consequently the two triangles are similar".

A triangle is a closed two-dimensional shape or polygon with the fewest sides in mathematics. A triangle is made up of three sides and three angles. The most significant attribute of a triangle is that the sum of its internal angles equals 180°.

Conditions for Triangle Similarity

If the corresponding angles of two triangles are identical, they are said to be comparable triangles.

If their respective sides have the same proportion/ratio.

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The value of R² is 3/2

What are solids ?

A three-dimensional object that is closed (which may, according to some terminology conventions, be self-intersecting). A solid is any constrained area of space that is bounded by surfaces, according to Kern and Bland (1948, p. 18). The sphere, cube, cone, and cylinder, as well as the polyhedra more broadly, are some of the most basic solids.

We can see that EJCI is a rhombus and

Area of rhombus is given by

Area of rhombus  = Lenth of one diagonal * length of another dialonal / 2

Thus,

EC = (a^2 + a^2 + a^2)^0.5

=> EC = a * (3)^0.5

JI = (a^2 + a^2 )^0.5

=> JI = a * (2)^0.5

So,  the area of EJCI = EC * JI / 2

=> Area = (1/2) * (a^2)  * (6)^0.5

Area of face = a^2

R = [ (1/2) * (a^2)  * (6)^0.5] / a^2

=> R = 1/2 * 6^0.5

So, the required R² is

R^2 = (1/4) * 6

=> R^2 = 3/2

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Answer:

I believe the answer is 3

Step-by-step explanation:

because NO and KL are parallel, they have the same length which is 3 as given in the question description. We also know that KL and NM have the same length. Therefore, NM is also 3.

Answer:

6/16

Step-by-step explanation:

Answer:

Step-by-step explanation:

15/40 i think

The expression for the perimeter of a square will be p = 4s.

The perimeter of a figure of shape can be gotten the total length of the boundary which the figure or the shape has. it's gotten by adding all the length that the shape has.

It should be noted that a square has four equals sides. The expressions for the perimeter of a square will be:

p = 4 × s.

p = 4s

where s = number of sides.

p = perimeter

For example if the side is 2cm. The perimeter will be calculated by multiplying 4 by the value of the sides. In this case, this will be calculated as:

= Value of sides × 4

= 2 × 4

= 8cm

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Answer:

(I cannot show a picture of a bar model, apologies)

Answer:

Expression: 2s + 6

# of Pages Friend Read: 14 pages

Step-by-step explanation:

Let's call the number of pages your sister has read, s, and the number of pages your friend has read, f. We will make our equation first. If your friend has read 6 more than twice as many pages as your sister has, your equation would look like this:

f = 2s + 6

That is your equation for how many pages your friend read, your expression would be just 2s + 6. Now, we will substitute in 4 for s, and we get:

f = 2 * 4 + 6

Multiplying gives:

f = 8 + 6 = 14

So your friend has read 14 pages.

Hope this helped!

Answer:

Step-by-step explanation:

The amount of money saved by Andre in 40 weeks is $1280.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.

Given is Andre saves up the same amount of money each week.

We can write the equation, equating the total amount of money saved and the number of weeks as follows. Assume the equation to be -

y = mx + c

Then -

m = (288 - 224)/(9 - 7)

m = 64/2

m = 32

Now -

y = 32x + c

For the point (7, 224), we can write -

224 = 32 x 7 + c

c = 0

For {x} = 48, we can write the amount of money saved as -

y = 32 x 40

y = 1280

Therefore, the amount of money saved by Andre in 40 weeks is $1280.

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Answer:

1/2

Step-by-step explanation:

The probability that the product will last for at least 1 wee and at most 2 week is 0.30.

This independent transmission of characteristics phenomenon can be explained by the product rule of probability. It claims that multiplying the odds of each event occurring alone will yield the probability of two independent events occurring together.

P(E F) = P(E) P(F) is the product rule, where E and F are independent events. Explain that independence means that the likelihood of one event occurring has no bearing on the likelihood of the other.

The probability that the product will last for at least 1 wee and at most 2 week is 0.30.

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Correct option is B, The three zeros are 2, 3, -3.

The zeros of a function are the values of its variables that meet the equation and result in the function's value being equal to 0. The zeros of a function can be represented graphically as the x-coordinates (or x-intercepts) where the graph intersects the x-axis.

If a number's unit digit or end indicates a zero, it is a multiple of 10 and so divisible by 10. As a result, the amount of zeros at the end of every number determines how many times it may be raised to the power of 10.

y= (x-2)(x-3)(x+3)

The zeros of the above function are -

x = 2

x = 3

x = -3

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The value of a is zero.

Now, According to the question:

The given equation is:

a + 5 = -5a + 5

To solve the above equation:

Subtract 5 on both sides

a + 5 - 5 = -5a + 5 - 5

a = -5a

Add 5a on both sides:

6a = 0

Divide both sides by 6

a = 0

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The complete question is this:

How do you solve a + 5 = -5a + 5

15 + 25 = 40

10% of 40 = 4

Therefore, Caleb gave $4 to the church!

Hope this helps :D

Answer:

90

Step-by-step explanation:

40% is for 36

(100*36)/40

As per the decimal number system, the cost of 25 tickets is $32.5

The term decimal in math is defined as the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point.

Here we have given that the product of 3 student tickets at $4.

Here we have know that the ticket cost for 3 students is $4.

Then the cost of one person is calculated by dividing the cost by the number of students then we get,

=> 4/3

=> 1.3

So, if the cost for one person or ticket is $1.3 then the cost of 25 tickets is calculated as,

=> 25 x 1.3

=> 32.5

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Answer:

1/2

Step-by-step explanation:

-3x+5x-2>-4x+1

first, you will combine like terms. -3x+5x=2x.

2x-2>-4x+1

you need to move the variable to one side. So you will add 4x on both sides.

6x-2>1

You need to add 2.

6x>3.

Now you will divide both sides by 6 to get x by itself.

x> .5 or 1/2

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One cheese sandwich costs $1.4 and one bottle of water costs $1.8.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

Let x be the cost of cheese sandwiches and y be the cost of one bottle of water.

3x+2y=7.8

5x+4y=14.2

(3x+2y=7.8)*2

6x+4y=15.6

5x+4y=14.2

x=$1.4

y=$1.8

The cost of one cheese sandwich is $1.4 and that of one bottle of water is $1.8.

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There are 24 ways for Alice, Bob, and Charlie to buy pets and leave the store satisfied. They could each buy a puppy, a kitten, and a hamster, or they could each buy a different combination of the three types of pets.

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Answer:9

Step-by-step explanation:beacuse if you take 6 by 9 and 10 it will make 2 of 69

Answer:

the answer is b

Answer:

One way is to make a factor tree. She below for examples.

Step-by-step explanation:

Answer:

You basically just count jumps of that number

The measure of the missing length of the trapezoid is equal to 3√39 units.

Trapezoids are quadrilaterals with only one pair of congruent sides and two pairs of congruent angles. The relationship between the longest and shortest legs (D, d) in a trapezoid is defined below:

D = d + 2 · c

Where c is the length of the horizontal leg of the right triangle in a trapezoid.

And the missing leg can be found by means of Pythagorean theorem:

x = √(r² - c²)

Where:

First, determine the length of shortest leg: (D = 40, d = 26)

40 = 26 + 2 · c

14 = 2 · c

c = 7

Second, find the longest leg by Pythagorean theorem:

x = √(20² - 7²)

x = 3√39

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Answer:

There are 5 choices for the first digit, 5 choices for the second digit, 4 choices for the third digit, 3 choices for the fourth digit, and 2 choices for the fifth digit.

Answer:

a.  The total cost of fixing the drain is $198

b. The plumber spend 13 hours fixing the drain

Step-by-step explanation:

We know the equation is

C=25h+73

C = the total cost

h = the number of hours

Let's solve question a by putting 5 in for h

C=25(5)+73

C = 125 + 73

C = $198

So, the total cost of fixing the drain is $198

Let's solve question b by butting 398 in for c

398=25h+73

325 = 25h

h = 13 hours

So, the plumber spend 13 hours fixing the drain

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To fix their problem, a consumer is requesting a phone call,... I'll get a notification as soon as you respond.

The ball's height is 86 feet after one second. h=176t-16t2 calculates the height of a ball in feet after t seconds.

How much time did the ball take to hit the ground When the ball lands, its height (h) is 0 feet. You launch a ball into the air with an initial vertical velocity of 32 feet per second while standing at a height of 5 feet.

Calculate the maximum height of the ball using the vertical motion model, which is h = -16t2 + vt + s, where v is the initial velocity in feet/second and s is the height in feet.

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On a graph, an inverse relationship always has a negative slope.

In statistics, if higher values of one variable tend to be related to lower values of the other, there is a negative association or inverse relationship between the two variables.

A negative link between two variables typically denotes a negative correlation, or what is similar in some cases, a negative slope on the associated graph.

Anticorrelation or inverse correlation are other terms for a negative correlation between two variables.

When two variables change in an inverse relationship, they do so in opposite directions: one increases while the other drops, and vice versa.

Y declines as X rises in an inverse relationship.

An inverse relationship always has a negative slope on a graph.

Therefore, on a graph, an inverse relationship always has a negative slope.

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There are 11 animals on a farm, some of which are goats, while others are ducks. The total number of legs on the ducks and goats is 34.

An expression, often known as an algebraic expression, is any mathematical statement that contains variables, numbers, and an arithmetic operation between them. For instance, the word m in the given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the expression 4m + 5.

In mathematics, an expression is referred to as an algebraic expression if it contains variables, constants, and algebraic operations (addition, subtraction, etc.). Expressions are made up of multiple terms.

Functions, variables, and numbers make up an expression (such as addition, subtraction, multiplication or division etc.) It is possible to contrast phrases and expressions.

There are 11 animals, and they have a combined total of 34 legs.

Set G and D to the number of goats and ducks, respectively.

Consequently, G = 11 - D when G + D = 11, and vice versa.

therefore 4G + 2D = 34

Using the value as a stand-in for G, we obtain 4(11 - D) + 2D = 34.

By expanding, we have 34 - 44 - 4 + 2D.

The answer is D = 5. Thus, G equals 6.

Proof (5 x 2) plus (6 x 4) equals 34.

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