| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.49 |
| Score | 0% | 70% |
Simplify (4a)(7ab) - (8a2)(7b).
| 165a2b | |
| 84ab2 | |
| -28a2b | |
| 84a2b |
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.
(4a)(7ab) - (8a2)(7b)
(4 x 7)(a x a x b) - (8 x 7)(a2 x b)
(28)(a1+1 x b) - (56)(a2b)
28a2b - 56a2b
-28a2b
On this circle, line segment AB is the:
circumference |
|
diameter |
|
chord |
|
radius |
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).
The endpoints of this line segment are at (-2, 3) and (2, -9). What is the slope of this line?
| -3 | |
| 1 | |
| 1\(\frac{1}{2}\) | |
| -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, -9) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-9.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)If side x = 11cm, side y = 6cm, and side z = 7cm what is the perimeter of this triangle?
| 41cm | |
| 23cm | |
| 24cm | |
| 22cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 11cm + 6cm + 7cm = 24cm
If a = 7, b = 1, c = 4, and d = 5, what is the perimeter of this quadrilateral?
| 24 | |
| 27 | |
| 17 | |
| 13 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 7 + 1 + 4 + 5
p = 17