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oksano4ka [1.4K]

3 years ago

14

What is the equation for the axis of symmetry of the graph of this function?

1 answer:

poizon [28]3 years ago

6 0

F is the anwser:))))))))))

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Determine what shape is formed for the given coordinates for ABCD, and then find the perimeter and area as an exact value and ro

Helga [31]

Answer:

Part 1) The shape is a trapezoid

Part 2) The perimeter is $25(4+\sqrt{2})\ units$ or approximately $135.4\ units$

Part 3) The area is $937.5\ units^2$

Step-by-step explanation:

step 1

Plot the figure to better understand the problem

we have

A(-28,2),B(-21,-22),C(27,-8),D(-4,9)

using a graphing tool

The shape is a trapezoid

see the attached figure

step 2

Find the perimeter

we know that

The perimeter of the trapezoid is equal to

$P=AB+BC+CD+AD$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

we have

A(-28,2),B(-21,-22)

substitute in the formula

$d=\sqrt{(-22-2)^{2}+(-21+28)^{2}}$

$d=\sqrt{(-24)^{2}+(7)^{2}}$

$d=\sqrt{625}$

$d_A_B=25\ units$

Find the distance BC

we have

B(-21,-22),C(27,-8)

substitute in the formula

$d=\sqrt{(-8+22)^{2}+(27+21)^{2}}$

$d=\sqrt{(14)^{2}+(48)^{2}}$

$d=\sqrt{2,500}$

$d_B_C=50\ units$

Find the distance CD

we have

C(27,-8),D(-4,9)

substitute in the formula

$d=\sqrt{(9+8)^{2}+(-4-27)^{2}}$

$d=\sqrt{(17)^{2}+(-31)^{2}}$

$d=\sqrt{1,250}$

$d_C_D=25\sqrt{2}\ units$

Find the distance AD

we have

A(-28,2),D(-4,9)

substitute in the formula

$d=\sqrt{(9-2)^{2}+(-4+28)^{2}}$

$d=\sqrt{(7)^{2}+(24)^{2}}$

$d=\sqrt{625}$

$d_A_D=25\ units$

Find the perimeter

$P=25+50+25\sqrt{2}+25$

$P=(100+25\sqrt{2})\ units$

simplify

$P=25(4+\sqrt{2})\ units$ ----> exact value

$P=135.4\ units$

therefore

The perimeter is $25(4+\sqrt{2})\ units$ or approximately $135.4\ units$

step 3

Find the area

The area of trapezoid is equal to

$A=\frac{1}{2}[BC+AD]AB$

substitute the given values

$A=\frac{1}{2}[50+25]25=937.5\ units^2$

4 0

3 years ago

The _____ function is the most basic function in a family of functions.

grandymaker [24]

Answer:

Parent function

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is 2 to the power of 4 over 3 equal to? (5 points)

ryzh [129]

Answer:

The answer is the option C

cube root of $16$

Step-by-step explanation:

Remember that

$a^{\frac{x}{y}} =\sqrt[y]{a^{x}}$

in this problem we have

$a^{\frac{x}{y}}=2^{\frac{4}{3}}$

therefore

$2^{\frac{4}{3}} =\sqrt[3]{2^{4}}=\sqrt[3]{16}$

4 0

3 years ago

Days 1,2,3,4 cost to rent a truck 29,47,65,83

wlad13 [49]

Answer: It cost 8$ for the truck

Step-by-step explanation:

6 0

2 years ago

What is the value of the product of -20/48 times 6 in simplified form

KATRIN_1 [288]

-20/48 x 6 = $\frac{-20}{48}$ x $\frac{6}{1}$

I would cancel out the 6 in the numerator and the 48 in the denominator
Now I have <u /> $\frac{-20}{8}$ or <u /> $\frac{-5}{2}$ reduced.

-5 ÷ 2 = -2 1/2 and that is the answer in simplest form

8 0

3 years ago