| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.56 |
| Score | 0% | 51% |
Solve for b:
b2 - b - 38 = b - 3
| 9 or 3 | |
| 1 or -7 | |
| -5 or 7 | |
| 8 or 5 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
b2 - b - 38 = b - 3
b2 - b - 38 + 3 = b
b2 - b - b - 35 = 0
b2 - 2b - 35 = 0
Next, factor the quadratic equation:
b2 - 2b - 35 = 0
(b + 5)(b - 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 5) or (b - 7) must equal zero:
If (b + 5) = 0, b must equal -5
If (b - 7) = 0, b must equal 7
So the solution is that b = -5 or 7
The formula for the area of a circle is which of the following?
c = π d2 |
|
c = π d |
|
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.
The dimensions of this cylinder are height (h) = 7 and radius (r) = 5. What is the surface area?
| 120π | |
| 256π | |
| 4π | |
| 18π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 7)
sa = 2π(25) + 2π(35)
sa = (2 x 25)π + (2 x 35)π
sa = 50π + 70π
sa = 120π
Order the following types of angle from least number of degrees to most number of degrees.
right, obtuse, acute |
|
acute, obtuse, right |
|
acute, right, obtuse |
|
right, acute, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
The dimensions of this cylinder are height (h) = 6 and radius (r) = 6. What is the volume?
| 216π | |
| 147π | |
| 256π | |
| 72π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(62 x 6)
v = 216π