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2 years ago

Find the perimeter of the polygon ABCD that has its vertices at A(2, –2), B(6, –2), C(6, 6), and D(2, 6).

Mathematics

1 answer:

sergiy2304 [10]2 years ago

7 0

Answer:

D. 24 Units

Step-by-step explanation:

tracing the points given we get a rectangle

the perimeter of a rectangle = 2a+2b

a=length

b= width

in this case a= 8

b= 4

the perimeter of a rectangle = (2*8)+(2*4)

the perimeter of a rectangle = 16+8

the perimeter of a rectangle = 24

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Answer:

11 degrees

Step-by-step explanation:

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A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. The sa

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X - the number of sandwiches
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3 years ago

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20 points: <br> happy valentines

jeka57 [31]

Answer:

A. 4(x + 8) = 56

Step-by-step explanation:

the correct equation would be 4(x + 8) = 56

because we need to find the number of hours on Saturday, since there Sheldon gets paid $4 per hour, we must subtract the amount Sheldon made on Sunday by the total he made and then divide that by 4 to get the number of hours on Saturday

$4 = number of dollars per hour

$56 = total on Saturday and Sunday

8 hours = Number of hours babysat on Sunday

x = hours spent on Saturday

4(x + 8) = 56

Step 1: Simplify both sides of the equation.

4(x + 8) = 56

(4)(x) + (4)(8) = 56(Distribute)

4x + 32 = 56

Step 2: Subtract 32 from both sides.

4x + 32 − 32 = 56 − 32

4x = 24

Step 3: Divide both sides by 4.

4x/4 = 24/4

x = 6

To check if this is correct, we add the amount Sheldon earned on Saturday to the amount he earned on Sunday, which is

6(4) + 8(4) = 56

24 + 32 = 56

56 = 56

or you could substitute the answer in the problem

4(6 + 8) = 56

Distribute

24 + 32 = 56

Simplify

56 = 56

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2 years ago

The function f(x) = One-sixth (two-fifths) Superscript x is reflected across the y-axis to create the function g(x). Which order

Gekata [30.6K]

The ordered pair (-3 , $\frac{4}{375}$ ) is on g(x) ⇒ 1st answer

Step-by-step explanation:

Let us revise the reflection across the axes

If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x) (change the sign of y)
If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x) (change the sign of x)

∵ $f(x)=\frac{1}{6}(\frac{2}{5})^{x}$

∵ f(x) is reflected across the y-axis to create the function g(x)

- Change the sign of x

∴ $g(x)=\frac{1}{6}(\frac{2}{5})^{-x}$

To find the point that lies on g(x) substitute x in g(x) by the x-coordinate of the point if the answer equal to the y-coordinate of the point, then the point lies on it if not then the point does not lie on it

∵ The coordinates of the point are (-3 , $\frac{4}{375}$ )

∴ x = -3 and y = $\frac{4}{375}$

- Substitute x by -3 in g(x)

∵ $g(x)=\frac{1}{6}(\frac{2}{5})^{-x}$

∴ $g(x)=\frac{1}{6}(\frac{2}{5})^{-(-3)}$