| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.97 |
| Score | 0% | 59% |
Factor y2 + 8y - 9
| (y - 1)(y + 9) | |
| (y + 1)(y + 9) | |
| (y + 1)(y - 9) | |
| (y - 1)(y - 9) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -9 as well and sum (Inside, Outside) to equal 8. For this problem, those two numbers are -1 and 9. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 8y - 9
y2 + (-1 + 9)y + (-1 x 9)
(y - 1)(y + 9)
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
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triangle |
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quadrilateral |
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trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
The endpoints of this line segment are at (-2, 7) and (2, -1). What is the slope-intercept equation for this line?
| y = -2x - 4 | |
| y = -2x + 3 | |
| y = x - 4 | |
| y = 3x + 3 |
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 3. 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, -1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (7.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)Plugging these values into the slope-intercept equation:
y = -2x + 3
The dimensions of this cube are height (h) = 8, length (l) = 8, and width (w) = 5. What is the volume?
| 3 | |
| 320 | |
| 20 | |
| 32 |
The volume of a cube is height x length x width:
v = h x l x w
v = 8 x 8 x 5
v = 320
What is the area of a circle with a radius of 4?
| 3π | |
| 16π | |
| 6π | |
| 8π |
The formula for area is πr2:
a = πr2
a = π(42)
a = 16π