| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.56 |
| Score | 0% | 71% |
What is the area of a circle with a radius of 5?
| 81π | |
| 25π | |
| 64π | |
| 2π |
The formula for area is πr2:
a = πr2
a = π(52)
a = 25π
A quadrilateral is a shape with __________ sides.
3 |
|
4 |
|
2 |
|
5 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
If a = 3, b = 9, c = 3, and d = 5, what is the perimeter of this quadrilateral?
| 24 | |
| 20 | |
| 29 | |
| 23 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 3 + 9 + 3 + 5
p = 20
Simplify (9a)(8ab) + (4a2)(4b).
| 136a2b | |
| 88a2b | |
| 88ab2 | |
| 56ab2 |
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)(8ab) + (4a2)(4b)
(9 x 8)(a x a x b) + (4 x 4)(a2 x b)
(72)(a1+1 x b) + (16)(a2b)
72a2b + 16a2b
88a2b
The endpoints of this line segment are at (-2, -8) and (2, 4). What is the slope-intercept equation for this line?
| y = 2\(\frac{1}{2}\)x + 3 | |
| y = -2x + 1 | |
| y = 3x - 2 | |
| y = x - 2 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -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, -8) and (2, 4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-8.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)Plugging these values into the slope-intercept equation:
y = 3x - 2