| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.89 |
| Score | 0% | 58% |
If a = c = 8, b = d = 9, and the blue angle = 76°, what is the area of this parallelogram?
| 32 | |
| 72 | |
| 25 | |
| 21 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 8 x 9
a = 72
Solve for z:
z2 + z + 4 = z + 5
| 3 or -9 | |
| 8 or 3 | |
| 1 or -1 | |
| 1 or -8 |
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:
z2 + z + 4 = z + 5
z2 + z + 4 - 5 = z
z2 + z - z - 1 = 0
z2 - 1 = 0
Next, factor the quadratic equation:
z2 - 1 = 0
(z - 1)(z + 1) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 1) or (z + 1) must equal zero:
If (z - 1) = 0, z must equal 1
If (z + 1) = 0, z must equal -1
So the solution is that z = 1 or -1
If angle a = 21° and angle b = 26° what is the length of angle c?
| 133° | |
| 81° | |
| 74° | |
| 109° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 21° - 26° = 133°
Solve for x:
-3x - 9 = -4 - 9x
| \(\frac{5}{6}\) | |
| -2\(\frac{1}{4}\) | |
| -1\(\frac{1}{2}\) | |
| \(\frac{1}{8}\) |
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 equal sign and the answer on the other.
-3x - 9 = -4 - 9x
-3x = -4 - 9x + 9
-3x + 9x = -4 + 9
6x = 5
x = \( \frac{5}{6} \)
x = \(\frac{5}{6}\)
The endpoints of this line segment are at (-2, 7) and (2, -3). What is the slope of this line?
| -2\(\frac{1}{2}\) | |
| -1\(\frac{1}{2}\) | |
| 1 | |
| 2 |
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, 7) and (2, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (7.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)