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 10 as well and sum (Inside, Outside) to equal -7. For this problem, those two numbers are -5 and -2. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² - 7y + 10
y² + (-5 - 2)y + (-5 x -2)
(y - 5)(y - 2)

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 24° - 52° = 104°

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 3 x 5) + (2 x 5 x 9) + (2 x 3 x 9)
sa = (30) + (90) + (54)
sa = 174

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.

6a⁷ + 7a⁷ = 13a⁷

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, 0) and (2, 2) so the slope becomes:

Plugging these values into the slope-intercept equation:

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