| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.90 |
| Score | 0% | 58% |
What is the circumference of a circle with a diameter of 10?
| 8π | |
| 10π | |
| 3π | |
| 4π |
The formula for circumference is circle diameter x π:
c = πd
c = 10π
Simplify (y - 9)(y + 7)
| y2 + 16y + 63 | |
| y2 + 2y - 63 | |
| y2 - 16y + 63 | |
| y2 - 2y - 63 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 9)(y + 7)
(y x y) + (y x 7) + (-9 x y) + (-9 x 7)
y2 + 7y - 9y - 63
y2 - 2y - 63
If side a = 2, side b = 8, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{32} \) | |
| \( \sqrt{50} \) | |
| \( \sqrt{52} \) | |
| \( \sqrt{68} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 22 + 82
c2 = 4 + 64
c2 = 68
c = \( \sqrt{68} \)
If the length of AB equals the length of BD, point B __________ this line segment.
bisects |
|
midpoints |
|
intersects |
|
trisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
The endpoints of this line segment are at (-2, -4) and (2, -2). What is the slope of this line?
| -\(\frac{1}{2}\) | |
| \(\frac{1}{2}\) | |
| -1\(\frac{1}{2}\) | |
| 2\(\frac{1}{2}\) |
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, -4) and (2, -2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)