| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.82 |
| Score | 0% | 56% |
If the base of this triangle is 9 and the height is 1, what is the area?
| 70 | |
| 75 | |
| 4\(\frac{1}{2}\) | |
| 63 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 9 x 1 = \( \frac{9}{2} \) = 4\(\frac{1}{2}\)
The formula for the area of a circle is which of the following?
c = π d |
|
c = π r2 |
|
c = π r |
|
c = π d2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Simplify (y + 2)(y - 8)
| y2 - 10y + 16 | |
| y2 - 6y - 16 | |
| y2 + 6y - 16 | |
| y2 + 10y + 16 |
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 + 2)(y - 8)
(y x y) + (y x -8) + (2 x y) + (2 x -8)
y2 - 8y + 2y - 16
y2 - 6y - 16
If side a = 7, side b = 2, what is the length of the hypotenuse of this right triangle?
| 5 | |
| \( \sqrt{5} \) | |
| \( \sqrt{53} \) | |
| \( \sqrt{85} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 72 + 22
c2 = 49 + 4
c2 = 53
c = \( \sqrt{53} \)
What is 5a8 - 8a8?
| -3a8 | |
| 13a16 | |
| a816 | |
| -3a16 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
5a8 - 8a8 = -3a8