| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
The endpoints of this line segment are at (-2, 6) and (2, -6). What is the slope of this line?
| -1 | |
| -3 | |
| 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, -6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-6.0) - (6.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)The dimensions of this cube are height (h) = 4, length (l) = 3, and width (w) = 9. What is the surface area?
| 150 | |
| 212 | |
| 214 | |
| 58 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 3 x 9) + (2 x 9 x 4) + (2 x 3 x 4)
sa = (54) + (72) + (24)
sa = 150
If angle a = 70° and angle b = 53° what is the length of angle d?
| 110° | |
| 154° | |
| 127° | |
| 112° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 70° - 53° = 57°
So, d° = 53° + 57° = 110°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 70° = 110°
The dimensions of this cube are height (h) = 6, length (l) = 9, and width (w) = 2. What is the volume?
| 567 | |
| 48 | |
| 108 | |
| 168 |
The volume of a cube is height x length x width:
v = h x l x w
v = 6 x 9 x 2
v = 108
What is 5a + 5a?
| 10a | |
| 2 | |
| a2 | |
| 10 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
5a + 5a = 10a