| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.05 |
| Score | 0% | 61% |
On this circle, line segment AB is the:
diameter |
|
chord |
|
circumference |
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radius |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
Factor y2 - 11y + 28
| (y + 7)(y + 4) | |
| (y + 7)(y - 4) | |
| (y - 7)(y + 4) | |
| (y - 7)(y - 4) |
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 28 as well and sum (Inside, Outside) to equal -11. For this problem, those two numbers are -7 and -4. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 11y + 28
y2 + (-7 - 4)y + (-7 x -4)
(y - 7)(y - 4)
The endpoints of this line segment are at (-2, -1) and (2, -5). What is the slope of this line?
| -\(\frac{1}{2}\) | |
| 1\(\frac{1}{2}\) | |
| -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, -1) and (2, -5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-5.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
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h2 x l2 x w2 |
|
h x l x w |
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2lw x 2wh + 2lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
If c = 7 and y = 3, what is the value of -4c(c - y)?
| -16 | |
| 5 | |
| 1215 | |
| -112 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-4c(c - y)
-4(7)(7 - 3)
-4(7)(4)
(-28)(4)
-112