| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.05 |
| Score | 0% | 61% |
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
|
equilateral and isosceles |
|
equilateral and right |
|
equilateral, isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
The endpoints of this line segment are at (-2, -2) and (2, -4). What is the slope of this line?
| -3 | |
| 1 | |
| -1 | |
| -\(\frac{1}{2}\) |
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, -2) and (2, -4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-4.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)Solve 4c - 9c = 7c - 4y - 8 for c in terms of y.
| \(\frac{4}{11}\)y - \(\frac{9}{11}\) | |
| -1\(\frac{2}{3}\)y + 2\(\frac{2}{3}\) | |
| -y + \(\frac{2}{7}\) | |
| 4y + 2 |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
4c - 9y = 7c - 4y - 8
4c = 7c - 4y - 8 + 9y
4c - 7c = -4y - 8 + 9y
-3c = 5y - 8
c = \( \frac{5y - 8}{-3} \)
c = \( \frac{5y}{-3} \) + \( \frac{-8}{-3} \)
c = -1\(\frac{2}{3}\)y + 2\(\frac{2}{3}\)
The dimensions of this cube are height (h) = 4, length (l) = 9, and width (w) = 4. What is the volume?
| 72 | |
| 144 | |
| 168 | |
| 288 |
The volume of a cube is height x length x width:
v = h x l x w
v = 4 x 9 x 4
v = 144
A coordinate grid is composed of which of the following?
x-axis |
|
all of these |
|
origin |
|
y-axis |
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.