| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.12 |
| Score | 0% | 62% |
Simplify (9a)(4ab) - (5a2)(4b).
| 117a2b | |
| 16a2b | |
| -16ab2 | |
| 117ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(9a)(4ab) - (5a2)(4b)
(9 x 4)(a x a x b) - (5 x 4)(a2 x b)
(36)(a1+1 x b) - (20)(a2b)
36a2b - 20a2b
16a2b
What is the area of a circle with a diameter of 8?
| 16π | |
| 4π | |
| 2π | |
| 81π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{8}{2} \)
r = 4
a = πr2
a = π(42)
a = 16π
Find the value of c:
-9c + y = -7
-8c - 4y = 3
| 1\(\frac{4}{5}\) | |
| 1\(\frac{2}{7}\) | |
| \(\frac{25}{44}\) | |
| 1\(\frac{2}{5}\) |
You need to find the value of c so solve the first equation in terms of y:
-9c + y = -7
y = -7 + 9c
then substitute the result (-7 - -9c) into the second equation:
-8c - 4(-7 + 9c) = 3
-8c + (-4 x -7) + (-4 x 9c) = 3
-8c + 28 - 36c = 3
-8c - 36c = 3 - 28
-44c = -25
c = \( \frac{-25}{-44} \)
c = \(\frac{25}{44}\)
The endpoints of this line segment are at (-2, 3) and (2, -3). What is the slope of this line?
| 1\(\frac{1}{2}\) | |
| -1\(\frac{1}{2}\) | |
| -3 | |
| 2\(\frac{1}{2}\) |
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, 3) and (2, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)A right angle measures:
90° |
|
360° |
|
45° |
|
180° |
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.