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Galina-37 [17]
2 years ago
8

Will give brainiest pls help!

Mathematics
2 answers:
djyliett [7]2 years ago
6 0

Answer:

The answer should be C which is 64

kodGreya [7K]2 years ago
3 0

Step-by-step explanation:

given,

x² + y² = 40

2xy = 24

(x + y)² = x² + 2xy + y²

so,

40 + 24 = 64

therefore option C is correct

hope this answer helps you dear!

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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

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see the attached figure

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

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

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we have

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

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

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

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

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Find the distance AD

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

substitute in the formula

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

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

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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

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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

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