| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.40 |
| Score | 0% | 48% |
The endpoints of this line segment are at (-2, 3) and (2, 5). What is the slope of this line?
| -2\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) | |
| -1 | |
| 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, 3) and (2, 5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (3.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)Solve -c - 6c = -3c + 8x + 8 for c in terms of x.
| 7x + 4 | |
| 1\(\frac{2}{3}\)x - \(\frac{2}{9}\) | |
| 1\(\frac{5}{8}\)x - \(\frac{5}{8}\) | |
| \(\frac{3}{5}\)x + 1 |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
-c - 6x = -3c + 8x + 8
-c = -3c + 8x + 8 + 6x
-c + 3c = 8x + 8 + 6x
2c = 14x + 8
c = \( \frac{14x + 8}{2} \)
c = \( \frac{14x}{2} \) + \( \frac{8}{2} \)
c = 7x + 4
For this diagram, the Pythagorean theorem states that b2 = ?
c - a |
|
c2 - a2 |
|
a2 - c2 |
|
c2 + a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
The dimensions of this cylinder are height (h) = 3 and radius (r) = 2. What is the surface area?
| 72π | |
| 192π | |
| 20π | |
| 324π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(22) + 2π(2 x 3)
sa = 2π(4) + 2π(6)
sa = (2 x 4)π + (2 x 6)π
sa = 8π + 12π
sa = 20π
If a = c = 8, b = d = 7, and the blue angle = 70°, what is the area of this parallelogram?
| 56 | |
| 40 | |
| 9 | |
| 12 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 8 x 7
a = 56