How many square feet of outdoor carpet will we need for this hole ?

Step-by-step explanation:

First figure out the rectangular part 3 x 8 = 24

Next find out the triangular part. Since we know that one half of the triangular part is 3 by 4, and a triangle is half a rectangle, we can figure out that 3 x 4 = 12 and 12/2 = 6, and do the same for the 3 x 3 triangle 3 x 3 =9 and 9/2 = 4.5

Now just add it all together: 24 + 6 + 4.5 = 34.5

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b