| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.98 |
| Score | 0% | 60% |
If the base of this triangle is 8 and the height is 6, what is the area?
| 66 | |
| 24 | |
| 28 | |
| 60\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 8 x 6 = \( \frac{48}{2} \) = 24
Solve for b:
b2 - 6b + 5 = 0
| 6 or -1 | |
| 1 or 5 | |
| -6 or -9 | |
| 9 or 4 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
b2 - 6b + 5 = 0
(b - 1)(b - 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 1) or (b - 5) must equal zero:
If (b - 1) = 0, b must equal 1
If (b - 5) = 0, b must equal 5
So the solution is that b = 1 or 5
What is 7a - 9a?
| -2a2 | |
| 16 | |
| -2a | |
| -2 |
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.
7a - 9a = -2a
The formula for the area of a circle is which of the following?
c = π d |
|
c = π d2 |
|
c = π r |
|
c = π r2 |
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.
If BD = 19 and AD = 29, AB = ?
| 3 | |
| 5 | |
| 10 | |
| 8 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BD