2. I'm thinking of two positive integers. Their
sum is 8. Their product is 12. What are they?

2 and 6

Step-by-step explanation:

Take integers to be X and Y

X*Y=12

X + Y = 8

from the second equation, X= 8-Y

put X in the first Equation

(8-Y)Y = 12

Expand the equation

-Y² + 8Y - 12 = 0

Factorize the above equation

(-Y + 2) (Y - 6) = 0

Y = 2 and Y = 6

choose any value of Y.

so Y = 6,

put Y in X + Y = 8

X + 6 = 8

X = 2

therefore the integers are 2 and 6

10 you would take 50/ .2

step-by-step explanation:

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