Answer:
3 and - 4
Step-by-step explanation:
Calculate the gradients using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
Line A
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (1, 1) ← 2 points on the line
m =
= 3
Line B
with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (0, 5) ← 2 points on the line
m =
=
= - 4
You can verify this by plugging the numbers into the Pythagorean theorem,

, where c is the hypotenuse (the longest side, in this case 53).
So it would be:

The equation is true.
2809 = 2809
Answer:
Water flows into a tank according to the rate
Water flows into a tank according to the rate F(t) = (6+t)/(1+t), and at the same time empties out at the rate E(t) = ln (t+2)/(t+1), with both F(t) and E(t) measured in gallons per minute.
Step-by-step explanation:
You need to multiply each term inside the bracket by 8:
8(w-4)
=8w-32