| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
The endpoints of this line segment are at (-2, 9) and (2, -3). 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, 9) and (2, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (9.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)The dimensions of this cylinder are height (h) = 1 and radius (r) = 8. What is the volume?
| 98π | |
| 64π | |
| 18π | |
| 180π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(82 x 1)
v = 64π
Solve for x:
x2 - 10x + 24 = 0
| -1 or -9 | |
| 4 or 6 | |
| -1 or -6 | |
| 9 or -5 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
x2 - 10x + 24 = 0
(x - 4)(x - 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 4) or (x - 6) must equal zero:
If (x - 4) = 0, x must equal 4
If (x - 6) = 0, x must equal 6
So the solution is that x = 4 or 6
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
|
the area of a parallelogram is base x height |
|
opposite sides and adjacent angles are equal |
|
the perimeter of a parallelogram is the sum of the lengths of all sides |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
The dimensions of this cube are height (h) = 4, length (l) = 1, and width (w) = 1. What is the volume?
| 28 | |
| 4 | |
| 10 | |
| 70 |
The volume of a cube is height x length x width:
v = h x l x w
v = 4 x 1 x 1
v = 4