| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.41 |
| Score | 0% | 68% |
Order the following types of angle from least number of degrees to most number of degrees.
right, obtuse, acute |
|
acute, right, obtuse |
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acute, obtuse, right |
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right, acute, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Which of the following is not required to define the slope-intercept equation for a line?
x-intercept |
|
y-intercept |
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slope |
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\({\Delta y \over \Delta x}\) |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
A coordinate grid is composed of which of the following?
x-axis |
|
origin |
|
y-axis |
|
all of these |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
The dimensions of this cube are height (h) = 5, length (l) = 2, and width (w) = 1. What is the volume?
| 10 | |
| 512 | |
| 54 | |
| 245 |
The volume of a cube is height x length x width:
v = h x l x w
v = 5 x 2 x 1
v = 10
Factor y2 - 3y - 10
| (y - 5)(y + 2) | |
| (y - 5)(y - 2) | |
| (y + 5)(y - 2) | |
| (y + 5)(y + 2) |
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 -10 as well and sum (Inside, Outside) to equal -3. For this problem, those two numbers are -5 and 2. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 3y - 10
y2 + (-5 + 2)y + (-5 x 2)
(y - 5)(y + 2)