| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.42 |
| Score | 0% | 68% |
A quadrilateral is a shape with __________ sides.
4 |
|
5 |
|
2 |
|
3 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Simplify (y - 3)(y + 6)
| y2 - 9y + 18 | |
| y2 + 9y + 18 | |
| y2 - 3y - 18 | |
| y2 + 3y - 18 |
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 - 3)(y + 6)
(y x y) + (y x 6) + (-3 x y) + (-3 x 6)
y2 + 6y - 3y - 18
y2 + 3y - 18
A coordinate grid is composed of which of the following?
x-axis |
|
origin |
|
all of these |
|
y-axis |
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.
If side a = 4, side b = 2, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{20} \) | |
| \( \sqrt{8} \) | |
| \( \sqrt{37} \) | |
| \( \sqrt{65} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 22
c2 = 16 + 4
c2 = 20
c = \( \sqrt{20} \)
Solve -7c - 3c = -2c - 8z + 4 for c in terms of z.
| -2z + 9 | |
| -\(\frac{1}{12}\)z + \(\frac{1}{12}\) | |
| z - \(\frac{4}{5}\) | |
| -12z + 3 |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
-7c - 3z = -2c - 8z + 4
-7c = -2c - 8z + 4 + 3z
-7c + 2c = -8z + 4 + 3z
-5c = -5z + 4
c = \( \frac{-5z + 4}{-5} \)
c = \( \frac{-5z}{-5} \) + \( \frac{4}{-5} \)
c = z - \(\frac{4}{5}\)