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.

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.

2x + 4 < 3 - 4x
2x < 3 - 4x - 4
2x + 4x < 3 - 4
6x < -1
x < \( \frac{-1}{6} \)
x < -\(\frac{1}{6}\)

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 47° - 48° = 85°

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 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 54 as well and sum (Inside, Outside) to equal 15. For this problem, those two numbers are 6 and 9. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² + 15y + 54
y² + (6 + 9)y + (6 x 9)
(y + 6)(y + 9)