| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.08 |
| Score | 0% | 62% |
If the base of this triangle is 7 and the height is 5, what is the area?
| 27 | |
| 49 | |
| 17\(\frac{1}{2}\) | |
| 70 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 7 x 5 = \( \frac{35}{2} \) = 17\(\frac{1}{2}\)
The endpoints of this line segment are at (-2, -1) and (2, 5). What is the slope of this line?
| -2 | |
| -1\(\frac{1}{2}\) | |
| 2 | |
| 1\(\frac{1}{2}\) |
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, -1) and (2, 5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)Simplify (9a)(2ab) - (8a2)(7b).
| 74ab2 | |
| -38a2b | |
| 165a2b | |
| 38ab2 |
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)(2ab) - (8a2)(7b)
(9 x 2)(a x a x b) - (8 x 7)(a2 x b)
(18)(a1+1 x b) - (56)(a2b)
18a2b - 56a2b
-38a2b
What is the area of a circle with a radius of 4?
| 16π | |
| 64π | |
| 9π | |
| 4π |
The formula for area is πr2:
a = πr2
a = π(42)
a = 16π
The formula for the area of a circle is which of the following?
a = π r |
|
a = π d |
|
a = π r2 |
|
a = π d2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.