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

c² + 2c - 63 = 0
(c - 7)(c + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 7) or (c + 9) must equal zero:

If (c - 7) = 0, c must equal 7
If (c + 9) = 0, c must equal -9

So the solution is that c = 7 or -9

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.

You need to find the value of c so solve the first equation in terms of y:

-3c + y = -7
y = -7 + 3c

then substitute the result (-7 - -3c) into the second equation:

-9c - 3(-7 + 3c) = 8
-9c + (-3 x -7) + (-3 x 3c) = 8
-9c + 21 - 9c = 8
-9c - 9c = 8 - 21
-18c = -13
c = \( \frac{-13}{-18} \)
c = \(\frac{13}{18}\)

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.

-y + 1 > -2 + 3y
-y > -2 + 3y - 1
-y - 3y > -2 - 1
-4y > -3
y > \( \frac{-3}{-4} \)
y > \(\frac{3}{4}\)