To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y + 4)(y + 4)
(y x y) + (y x 4) + (4 x y) + (4 x 4)
y² + 4y + 4y + 16
y² + 8y + 16

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).

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

6a³ + 5a³ = 11a³

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 3. 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, 6) and (2, 0) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = -1\(\frac{1}{2}\)x + 3

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:

c² - 4c + 2 = -3c + 4
c² - 4c + 2 - 4 = -3c
c² - 4c + 3c - 2 = 0
c² - c - 2 = 0

Next, factor the quadratic equation:

c² - c - 2 = 0
(c + 1)(c - 2) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c + 1) or (c - 2) must equal zero:

If (c + 1) = 0, c must equal -1
If (c - 2) = 0, c must equal 2

So the solution is that c = -1 or 2