| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.90 |
| Score | 0% | 58% |
Solve for c:
c2 - 13c + 36 = 0
| 8 or -9 | |
| 4 or 9 | |
| 1 or -6 | |
| 1 or -5 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
c2 - 13c + 36 = 0
(c - 4)(c - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 4) or (c - 9) must equal zero:
If (c - 4) = 0, c must equal 4
If (c - 9) = 0, c must equal 9
So the solution is that c = 4 or 9
If the base of this triangle is 6 and the height is 6, what is the area?
| 18 | |
| 27\(\frac{1}{2}\) | |
| 38\(\frac{1}{2}\) | |
| 65 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 6 x 6 = \( \frac{36}{2} \) = 18
What is the circumference of a circle with a radius of 5?
| 10π | |
| 6π | |
| 16π | |
| 18π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 5)
c = 10π
On this circle, line segment CD is the:
circumference |
|
radius |
|
diameter |
|
chord |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
Solve for c:
c - 5 < -2 + 5c
| c < 1 | |
| c < -1\(\frac{3}{4}\) | |
| c < -\(\frac{3}{4}\) | |
| c < -1 |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
c - 5 < -2 + 5c
c < -2 + 5c + 5
c - 5c < -2 + 5
-4c < 3
c < \( \frac{3}{-4} \)
c < -\(\frac{3}{4}\)