write an equation in point slope form of the line that passes through the point (-8,-2) and had a slope of m=5

5x - y + 38 = 0

Step-by-step explanation:

solution:

slope(m) = 5

(x1 , y1) = (-8 , -2)

we know that,

(y - y1) = m(x -x1)

or, (y - -2) = 5(x - -8)

or, y+2 = 5(x + 8)

or, y+2 = 5x +40

or, 5x - y + 38 = 0 is the required equation

28

step-by-step explanation:

because that's the answer

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240