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3 years ago

Equation. 1. h - 9= 2h - 1

2 answers:

8 0

H-9=2h-1
Add 9 to both sides
h-9+9=2h-1+9
h=2h+8
Subtract 2h from both sides
h-2h=2h+8-2h
-h=8
Divide both sides by-1
-h/-1=8/-1
h=-8 is your answer

lora16 [44]3 years ago

4 0

H= -8. H-2h= 9-1; -h=8; h= -8

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The coordinates of the vertices of a rectangle are (−3, 4) , (7, 2) , (6, −3) , and (−4, −1) . What is the perimeter of the rect

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Find out the what is the perimeter of the rectangle .

To prove

Now as shown in the figure.

Name the coordinates as.

A(−3, 4) ,B (7, 2) , C(6, −3) , and D(−4, −1) .

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Thus

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$Disatnce\ formula = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2}}$

Now the points A(−3, 4) and B(7, 2)

$AB = \sqrt{(7- (-3))^{2} +(2- 4)^{2}}$

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$AB = \sqrt{100+4}$

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Thus

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Now the points

A (−3, 4) , D (−4, −1)

$AD = \sqrt{(-4 - (-3))^{2} +(-1- 4)^{2}}$

$AD = \sqrt{(-1)^{2} +(-5)^{2}}$

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Formula

Perimeter of rectangle = 2 (Length + Breadth)

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$Length = 2\sqrt{26}\ units$

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$Perimeter\ of\ rectangle = 2(2\sqrt{26} +\sqrt{26})$

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$Perimeter\ of\ rectangle = 6\times 5.1$

Perimeter of a rectangle = 30.6 units.

Therefore the perimeter of a rectangle is 30.6 units.

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