| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
What is the circumference of a circle with a diameter of 13?
| 18π | |
| 32π | |
| 13π | |
| 3π |
The formula for circumference is circle diameter x π:
c = πd
c = 13π
Simplify (6a)(5ab) - (4a2)(6b).
| 110ab2 | |
| -6ab2 | |
| 6a2b | |
| 54a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(6a)(5ab) - (4a2)(6b)
(6 x 5)(a x a x b) - (4 x 6)(a2 x b)
(30)(a1+1 x b) - (24)(a2b)
30a2b - 24a2b
6a2b
Factor y2 + 14y + 48
| (y - 6)(y - 8) | |
| (y + 6)(y + 8) | |
| (y - 6)(y + 8) | |
| (y + 6)(y - 8) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 48 as well and sum (Inside, Outside) to equal 14. For this problem, those two numbers are 6 and 8. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 14y + 48
y2 + (6 + 8)y + (6 x 8)
(y + 6)(y + 8)
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
π r2h2 |
|
4π r2 |
|
π r2h |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
A quadrilateral is a shape with __________ sides.
4 |
|
2 |
|
5 |
|
3 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.