melissakm77

20.04.2021 •

Mathematics

The slope between points A and B is −45. The perpendicular slope would be .

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Ответ:

puffley

25.10.2021

Mathematics

The length is feet.

Step-by-step explanation:

we know that

the area of the rectangle is equal to

A=xy

where

x is the length side of rectangle

y is the width side of rectangle

In this problem we have

$A=48\ ft^{2}$

48=xy ----> equation A

y=x-2 ------> equation B

substitute equation B in equation A

48=x(x-2)

$x^{2}-2x-48=0$

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}-2x-48=0$

$a=1\\b=-2\\c=-48$

substitute in the formula

$x=\frac{-(-2)(+/-)\sqrt{-2^{2}-4(1)(-48)}} {2(1)}$

$x=\frac{2(+/-)\sqrt{4+192}} {2}$

$x=\frac{2(+/-)14} {2}$

$x=\frac{2+14} {2}=8\ ft$ -----> the solution

$x=\frac{2-14} {2}=-6$

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