| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
The endpoints of this line segment are at (-2, 3) and (2, -1). What is the slope-intercept equation for this line?
| y = -x + 1 | |
| y = x + 1 | |
| y = 2x + 0 | |
| y = -2x + 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 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, 3) and (2, -1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)Plugging these values into the slope-intercept equation:
y = -x + 1
Order the following types of angle from least number of degrees to most number of degrees.
acute, obtuse, right |
|
right, obtuse, acute |
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acute, right, obtuse |
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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°.
The dimensions of this cube are height (h) = 6, length (l) = 2, and width (w) = 3. What is the volume?
| 240 | |
| 64 | |
| 36 | |
| 189 |
The volume of a cube is height x length x width:
v = h x l x w
v = 6 x 2 x 3
v = 36
If the base of this triangle is 7 and the height is 1, what is the area?
| 54 | |
| 15 | |
| 72 | |
| 3\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 7 x 1 = \( \frac{7}{2} \) = 3\(\frac{1}{2}\)
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
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rhombus |
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triangle |
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quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.