| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.55 |
| Score | 0% | 51% |
The endpoints of this line segment are at (-2, -4) and (2, 6). What is the slope-intercept equation for this line?
| y = 2\(\frac{1}{2}\)x + 1 | |
| y = -1\(\frac{1}{2}\)x + 4 | |
| y = 3x - 3 | |
| y = -1\(\frac{1}{2}\)x - 4 |
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 1. 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, -4) and (2, 6) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(6.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)Plugging these values into the slope-intercept equation:
y = 2\(\frac{1}{2}\)x + 1
What is the circumference of a circle with a diameter of 7?
| 11π | |
| 38π | |
| 7π | |
| 8π |
The formula for circumference is circle diameter x π:
c = πd
c = 7π
Solve 4a - 3a = -7a + y + 6 for a in terms of y.
| -1\(\frac{5}{6}\)y - 1\(\frac{1}{3}\) | |
| -1\(\frac{2}{5}\)y + \(\frac{1}{5}\) | |
| \(\frac{4}{11}\)y + \(\frac{6}{11}\) | |
| -\(\frac{2}{7}\)y - \(\frac{3}{7}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
4a - 3y = -7a + y + 6
4a = -7a + y + 6 + 3y
4a + 7a = y + 6 + 3y
11a = 4y + 6
a = \( \frac{4y + 6}{11} \)
a = \( \frac{4y}{11} \) + \( \frac{6}{11} \)
a = \(\frac{4}{11}\)y + \(\frac{6}{11}\)
Solve for x:
-3x - 3 = 3 - 8x
| 1\(\frac{1}{5}\) | |
| \(\frac{7}{9}\) | |
| 2\(\frac{2}{3}\) | |
| 7 |
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.
-3x - 3 = 3 - 8x
-3x = 3 - 8x + 3
-3x + 8x = 3 + 3
5x = 6
x = \( \frac{6}{5} \)
x = 1\(\frac{1}{5}\)
The dimensions of this cube are height (h) = 1, length (l) = 7, and width (w) = 5. What is the surface area?
| 96 | |
| 46 | |
| 320 | |
| 94 |
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 7 x 5) + (2 x 5 x 1) + (2 x 7 x 1)
sa = (70) + (10) + (14)
sa = 94