| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
The endpoints of this line segment are at (-2, 2) and (2, 4). What is the slope of this line?
| \(\frac{1}{2}\) | |
| 1\(\frac{1}{2}\) | |
| -\(\frac{1}{2}\) | |
| -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 = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (2.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)If a = c = 3, b = d = 2, what is the area of this rectangle?
| 6 | |
| 32 | |
| 16 | |
| 21 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 2
a = 6
A quadrilateral is a shape with __________ sides.
5 |
|
2 |
|
3 |
|
4 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Solve for b:
b2 + 14b + 45 = 0
| -5 or -9 | |
| -6 or -7 | |
| 8 or -9 | |
| 6 or 3 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
b2 + 14b + 45 = 0
(b + 5)(b + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 5) or (b + 9) must equal zero:
If (b + 5) = 0, b must equal -5
If (b + 9) = 0, b must equal -9
So the solution is that b = -5 or -9
What is the circumference of a circle with a diameter of 19?
| 19π | |
| 32π | |
| 12π | |
| 2π |
The formula for circumference is circle diameter x π:
c = πd
c = 19π