The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

a² + 11a + 30 = 0
(a + 5)(a + 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 5) or (a + 6) must equal zero:

If (a + 5) = 0, a must equal -5
If (a + 6) = 0, a must equal -6

So the solution is that a = -5 or -6

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.

The volume of a cylinder is πr²h:

v = πr²h
v = π(4² x 1)
v = 16π

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c² = a² + b²
c² = 1² + 6²
c² = 1 + 36
c² = 37
c = \( \sqrt{37} \)