Mathematics: Given the points (3, -1) and (-8, 0) find the slope.

Given the points (3, -1) and (-8, 0) find the slope.

hwhite41

13.08.2021

Step-by-step explanation:

(x₁ , y₁) = (3,-1) &(x₂,y₂) = (-8, 0)

$Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{0-[-1]}{-8-3}\\\\=\frac{0+1}{-11}\\\\=\frac{1}{-11}\\\\=\frac{-1}{11}$

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dekarouh

02.10.2021

The area of the shaded region is 38.50 square units

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of the shaded region is equal to the area of triangle ABE plus the area of triangle CDE

Remember that the area of triangle is equal to

$A=\frac{1}{2}bh$

where

b is the base

h is the height

Find the area of triangle ABE

$b=AB=7\ units$

$h=\frac{BC}{2}=\frac{11}{2}=5.5\ units$

substitute the values

$A=\frac{1}{2}(7)(5.5)=19.25\ units^2$

Find the area of triangle CDE

$b=CD=AB=7\ units$

$h=\frac{BC}{2}=\frac{11}{2}=5.5\ units$

substitute the values

$A=\frac{1}{2}(7)(5.5)=19.25\ units^2$

Find the area of the shaded region

$A=19.25\ units^2+19.25\ units^2=38.50\ units^2$

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