| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
The endpoints of this line segment are at (-2, 7) and (2, -5). What is the slope-intercept equation for this line?
| y = 2\(\frac{1}{2}\)x + 3 | |
| y = -2\(\frac{1}{2}\)x - 3 | |
| y = -3x - 3 | |
| y = -3x + 1 |
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, 7) and (2, -5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-5.0) - (7.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)Plugging these values into the slope-intercept equation:
y = -3x + 1
Simplify (y + 4)(y - 8)
| y2 + 12y + 32 | |
| y2 - 12y + 32 | |
| y2 - 4y - 32 | |
| y2 + 4y - 32 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 4)(y - 8)
(y x y) + (y x -8) + (4 x y) + (4 x -8)
y2 - 8y + 4y - 32
y2 - 4y - 32
A quadrilateral is a shape with __________ sides.
3 |
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4 |
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2 |
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5 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
The dimensions of this cube are height (h) = 8, length (l) = 2, and width (w) = 7. What is the surface area?
| 82 | |
| 172 | |
| 162 | |
| 150 |
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 2 x 7) + (2 x 7 x 8) + (2 x 2 x 8)
sa = (28) + (112) + (32)
sa = 172
The dimensions of this cylinder are height (h) = 2 and radius (r) = 5. What is the surface area?
| 208π | |
| 198π | |
| 70π | |
| 6π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 2)
sa = 2π(25) + 2π(10)
sa = (2 x 25)π + (2 x 10)π
sa = 50π + 20π
sa = 70π