| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
Solve for c:
c2 - 1 = 0
| 9 or -3 | |
| 8 or -2 | |
| 1 or -1 | |
| -3 or -7 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
c2 - 1 = 0
(c - 1)(c + 1) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 1) or (c + 1) must equal zero:
If (c - 1) = 0, c must equal 1
If (c + 1) = 0, c must equal -1
So the solution is that c = 1 or -1
The formula for the area of a circle is which of the following?
a = π r2 |
|
a = π d |
|
a = π r |
|
a = 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.
If the base of this triangle is 7 and the height is 5, what is the area?
| 17\(\frac{1}{2}\) | |
| 38\(\frac{1}{2}\) | |
| 49 | |
| 40 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 7 x 5 = \( \frac{35}{2} \) = 17\(\frac{1}{2}\)
On this circle, line segment AB is the:
radius |
|
diameter |
|
chord |
|
circumference |
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).
The dimensions of this cylinder are height (h) = 9 and radius (r) = 1. What is the surface area?
| 20π | |
| 24π | |
| 88π | |
| 40π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 9)
sa = 2π(1) + 2π(9)
sa = (2 x 1)π + (2 x 9)π
sa = 2π + 18π
sa = 20π