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3 years ago

5

A parallelogram has vertices E(-8,3), F(2,-2), G(-1,3), and H(-5, -2). What are the coordinates of the midpoint of each diagonal

?
A) (3, -0.5)
B) (-4.5, 3)
C) (-3, 0.5)
D) (0.5, -1.5)

1 answer:

IrinaVladis [17]3 years ago

7 0

Use the midpoint formula

C) ( -3 , 0.5)

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If the diagonal of a square is approximately 12.73, what is the length of its sides?

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Answer:

The length of the sides of the square is 9.0015

Step-by-step explanation:

Given

The diagonal of a square = 12.73

Required

The length of its side

Let the length and the diagonal of the square be represented by L and D, respectively.

So that

D = 12.73

The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:

$D^{2} = L^{2} + L^{2}$

Solving further, we have

$D^{2} = 2L^{2}$

Divide both sides by 2

$\frac{D^{2}}{2} = \frac{2L^{2}}{2}$

$\frac{D^{2}}{2} = L^2$

Take Square root of both sides

$\sqrt{\frac{D^{2}}{2}} = \sqrt{L^2}$

$\sqrt{\frac{D^{2}}{2}} = L$

Reorder

$L = \sqrt{\frac{D^{2}}{2}}$

Now, the value of L can be calculated by substituting 12.73 for D

$L = \sqrt{\frac{12.73^{2}}{2}}$

$L = \sqrt{\frac{162.0529}{2}}$

$L = \sqrt{{81.02645}$

$L = 9.001469325$

$L = 9.0015$ (Approximated)

Hence, the length of the sides of the square is approximately 9.0015

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4x + 8y = -40

if x = -6

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3 years ago

Read 2 more answers