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4 years ago

12

Mr.Anderson is building a triangular- shaped roof for his shed. The triangle must be isosceles with its base (noncongruent) side

measuring 14 feet. The length of one of the congruent legs mist be greater than what value?

1 answer:

goldfiish [28.3K]4 years ago

4 0

The side of the congruent side of the triangle should be greater than 7 feet.

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In rectangle ABCD, point E lies halfway between sides AB and CD and halfway between sides AD and BC. If AB=6 and BC=9, what is t

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Answer:

Height=9/2=4.5

A=1/2*b*h

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3 years ago

Find the inverse of the given function

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For this case, we must find the inverse of the following function:

$f (x) = \frac {5x + 1} {- x + 7}\\x\neq 7$

To find the inverse we follow the steps below:

$y = \frac {5x + 1} {- x + 7}$

We rewrite the denominator:

$y = \frac {5x + 1} {- (x-7)}\\y = - \frac {5x + 1} {(x-7)}$

We exchange variables:

$x = - \frac{5y + 1} {(y-7)}$

We solve for y:

We multiply on both sides of the equation by (y-7)

$x (y-7) = - 5y-1\\xy-7x = -5y-1$

We subtract xy on both sides of the equation:

$-7x = -5y-1-xy$

We add 1 to both sides:

$-7x + 1 = -5y-xy$

We factor for y:

$-7x + 1 = y (-5-x)$

We divide both sides by (-5-x):

$y = \frac {-7x + 1} {- 5-x}$

So, we have:

$f ^ {- 1} (x) = \frac {-7x + 1} {- 5-x}$

Answer:

$f ^ {- 1} (x) = \frac {-7x + 1} {- 5-x}$

$x\neq -5$

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