| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
The endpoints of this line segment are at (-2, 6) and (2, -4). What is the slope of this line?
| -2 | |
| 2\(\frac{1}{2}\) | |
| 1\(\frac{1}{2}\) | |
| -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, 6) and (2, -4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-4.0) - (6.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)The dimensions of this cylinder are height (h) = 7 and radius (r) = 5. What is the volume?
| 36π | |
| 175π | |
| 7π | |
| 25π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(52 x 7)
v = 175π
If side a = 9, side b = 5, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{5} \) | |
| \( \sqrt{45} \) | |
| \( \sqrt{98} \) | |
| \( \sqrt{106} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 92 + 52
c2 = 81 + 25
c2 = 106
c = \( \sqrt{106} \)
Solve for x:
-6x + 4 = 9 + 5x
| -\(\frac{5}{11}\) | |
| 4 | |
| -\(\frac{6}{7}\) | |
| -\(\frac{2}{3}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
-6x + 4 = 9 + 5x
-6x = 9 + 5x - 4
-6x - 5x = 9 - 4
-11x = 5
x = \( \frac{5}{-11} \)
x = -\(\frac{5}{11}\)
The formula for the area of a circle is which of the following?
a = π d |
|
a = π d2 |
|
a = π r |
|
a = π r2 |
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.