The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 5) and (2, 3) so the slope becomes:

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

y² + 8y + 7 = 4y + 4
y² + 8y + 7 - 4 = 4y
y² + 8y - 4y + 3 = 0
y² + 4y + 3 = 0

Next, factor the quadratic equation:

y² + 4y + 3 = 0
(y + 1)(y + 3) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 1) or (y + 3) must equal zero:

If (y + 1) = 0, y must equal -1
If (y + 3) = 0, y must equal -3

So the solution is that y = -1 or -3

The surface area of a cylinder is 2πr² + 2πrh:

sa = 2πr² + 2πrh
sa = 2π(1²) + 2π(1 x 4)
sa = 2π(1) + 2π(4)
sa = (2 x 1)π + (2 x 4)π
sa = 2π + 8π
sa = 10π

To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.

9c - 4z = -9c - 6z - 3
9c = -9c - 6z - 3 + 4z
9c + 9c = -6z - 3 + 4z
18c = -2z - 3
c = \( \frac{-2z - 3}{18} \)
c = \( \frac{-2z}{18} \) + \( \frac{-3}{18} \)
c = -\(\frac{1}{9}\)z - \(\frac{1}{6}\)

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.