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 + 2y - 14 = -y + 4
y² + 2y - 14 - 4 = -y
y² + 2y + y - 18 = 0
y² + 3y - 18 = 0

Next, factor the quadratic equation:

y² + 3y - 18 = 0
(y - 3)(y + 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 3) or (y + 6) must equal zero:

If (y - 3) = 0, y must equal 3
If (y + 6) = 0, y must equal -6

So the solution is that y = 3 or -6

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -21 as well and sum (Inside, Outside) to equal 4. For this problem, those two numbers are -3 and 7. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² + 4y - 21
y² + (-3 + 7)y + (-3 x 7)
(y - 3)(y + 7)

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -1. 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:

Plugging these values into the slope-intercept equation:

y = 2x - 1

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r²h and the surface area is 2(π r²) + 2π rh.