| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
If a = c = 9, b = d = 2, and the blue angle = 64°, what is the area of this parallelogram?
| 18 | |
| 63 | |
| 24 | |
| 72 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 9 x 2
a = 18
Solve -6b - 5b = 6b + 6y + 3 for b in terms of y.
| -\(\frac{1}{9}\)y - \(\frac{1}{2}\) | |
| \(\frac{1}{16}\)y - \(\frac{7}{16}\) | |
| -\(\frac{11}{12}\)y - \(\frac{1}{4}\) | |
| 4y + 5 |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
-6b - 5y = 6b + 6y + 3
-6b = 6b + 6y + 3 + 5y
-6b - 6b = 6y + 3 + 5y
-12b = 11y + 3
b = \( \frac{11y + 3}{-12} \)
b = \( \frac{11y}{-12} \) + \( \frac{3}{-12} \)
b = -\(\frac{11}{12}\)y - \(\frac{1}{4}\)
Factor y2 - 3y - 40
| (y + 8)(y - 5) | |
| (y - 8)(y + 5) | |
| (y - 8)(y - 5) | |
| (y + 8)(y + 5) |
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 -40 as well and sum (Inside, Outside) to equal -3. For this problem, those two numbers are -8 and 5. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 3y - 40
y2 + (-8 + 5)y + (-8 x 5)
(y - 8)(y + 5)
What is the circumference of a circle with a diameter of 14?
| 19π | |
| 10π | |
| 14π | |
| 22π |
The formula for circumference is circle diameter x π:
c = πd
c = 14π
A right angle measures:
360° |
|
180° |
|
45° |
|
90° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.