| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
The endpoints of this line segment are at (-2, -10) and (2, 2). What is the slope-intercept equation for this line?
| y = x + 2 | |
| y = 3x - 4 | |
| y = -\(\frac{1}{2}\)x + 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 -4. 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, -10) and (2, 2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (-10.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)Plugging these values into the slope-intercept equation:
y = 3x - 4
A(n) __________ is two expressions separated by an equal sign.
expression |
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formula |
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problem |
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equation |
An equation is two expressions separated by an equal sign. The key to solving equations is to 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.
If a = c = 2, b = d = 5, and the blue angle = 77°, what is the area of this parallelogram?
| 6 | |
| 12 | |
| 10 | |
| 25 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 2 x 5
a = 10
If BD = 12 and AD = 17, AB = ?
| 8 | |
| 13 | |
| 5 | |
| 11 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDThe dimensions of this cylinder are height (h) = 2 and radius (r) = 7. What is the surface area?
| 126π | |
| 168π | |
| 48π | |
| 56π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(72) + 2π(7 x 2)
sa = 2π(49) + 2π(14)
sa = (2 x 49)π + (2 x 14)π
sa = 98π + 28π
sa = 126π