3 years ago

ℍ , ? ℙ ℝ *ℕ ℝ ℕℝ ℙ**

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

5 0

x , y

1 , 7.5

2 , 15

3 , 22.5

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In rectangle ABCD, AC = -x + 21, BP = -9x + 19, and DP = -y + 5. Find the value of y.

creativ13 [48]

Answer:

y=-5

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The diagonals of a rectangle are equal and bisect each other

$BP=\frac{1}{2}AC$

$DP=BP$

step 1

Find the value of x

$BP=\frac{1}{2}AC$

substitute the given values

$(-9x+19)=\frac{1}{2} (-x+21)$

solve for x

Multiply by 2 both sides

$-18x+38=-x+21$

$18x-x=38-21\\17x=17\\x=1$

step 2

Find the value of y

$DP=BP$

we have

$BP=-9x+19$

$DP=-y+5$

substitute

$-y+5=-9x+19$

substitute the value of x

$-y+5=-9(1)+19\\-y+5=10\\y=5-10\\y=-5$

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How do i write an algebraic expression for

elena-14-01-66 [18.8K]

A) $4( f^{2} - g) + ( f^{2} + 2g)$

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Can someone please help me??? a is 3/4 b is -8 c is -2 d is 3

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Answer:

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-(-8)[3/4 + (-2 -3)^2]

8 [3/4 + (-5)^2]

8 [3/4 + 25]

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8 and -3 multiply to -24 and add up to 5

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Answer:

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Step-by-step explanation:

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