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3 years ago

If the side of the square is (4x-2y) what is the perimeter of the square

Mathematics

1 answer:

Luda [366]3 years ago

3 0

The perimeter of a square is a^2. In this case a= (4x-2y) so a^2=(4x-2y)^2 , a^2={16(x)^2-16xy+4(y)^2}

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What is the slope of the line through (-1, -7) and (3, 9)?

monitta

Answer:

slope = 4

Step-by-step explanation:

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3 0

2 years ago

Mattie’s house consist of two stories and an attic.the first floor is 8 5/6 feet tall the second floor is 7 1/2 feet tall and th

Trava [24]

Answer:

The attic is

feet tall

Step-by-step explanation:

a=73/3-53/6-17/2

to check Ur work: 53/6+17/2+7

hope u got ur answer

8 0

3 years ago

Read 2 more answers

Given the preimage and image,find the dilation scale factor.

Oliga [24]

Answer:

The dilation scale factor is $\frac{1}{2}$ .

Step-by-step explanation:

The image is the dilated form of its preimage if and only if the following conditions are observed:

1) $K' = \alpha_{1} \cdot K$

2) $T' = \alpha_{2} \cdot T$

3) $P' = \alpha_{3} \cdot P$

4) $J' = \alpha_{4} \cdot J$

5) $\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}$

If we know that $K = (2, 0)$ , $K' = (1, 0)$ , $T = (3, 0)$ , $T' = (1.5,0)$ , $P = (1, 5)$ , $P' = (0.5, 2.5)$ , $J = (0, 3)$ and $J' = (0, 1.5)$ , then the coefficients are, respectively:

$\alpha_{1} = \frac{1}{2}$ , $\alpha_{2} = \frac{1}{2}$ , $\alpha_{3} = \frac{1}{2}$ , $\alpha_{4} = \frac{1}{2}$

As $\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}$ , we conclude that the dilation scale factor applied in the preimage is equal to $\frac{1}{2}$ .

7 0

3 years ago

Write a quadratic function in standard form with a leading coefficient of 1 for the given set of zeros. 7 and 4

Viefleur [7K]

We are given : Zeros x=7 and x=4 and leading coefficent 1.

In order to find the quadratic function in standard form, we need to find the factors of quadratic function first and the multiply by given leading coefficent.

For the given zeros x=7 and x=4, we get the factors (x-7) and (x-4).

So, we need to multiply (x-7) and (x-4) by foil method.

We get

(x-7)(x-4) = x*x + x* -4 -7*x -7*-4

x^2 -4x -7x +28.

Combining like terms, we get

-4x-7x = -11x

x^2 -4x -7x +28 = x^2 -11x +28.

Now, we need to multiply x^2 -11x +28 quadratic by leading coefficent 1.

We get

1(x^2 -11x +28) = x^2 -11x +28.

Therefore, the required quadratic function in standard form is x^2 -11x +28.

6 0

3 years ago

Find the angle measure.<br><br> The measure of angle XYZ is

shutvik [7]

Answer:

Step-by-step explanation:

<u>1st step is to solve x from ΔWXY</u>

∠W + ∠X + ∠Y = 180

where ∠W = 5x + 2

∠X = 7x + 4

∠Y = 180 - (15x - 18)

= 198 - 15x

now plugin values into the equation:

5x + 2 + 7x + 4 + 198 - 15x = 180

combine similar terms:

5x + 7x - 15x = 180 - 2 - 4 - 198

simplify:

-3x = -24

x = -24 / -3

x = 8

<u>2nd step is to substitute x = 8 into ∠XYZ</u>

∠XYZ = 15x - 18

∠XYZ = 15(8) - 18

∠XYZ = 102

6 0

3 years ago