| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
Solve -6c - 6c = 5c + 9y + 5 for c in terms of y.
| -\(\frac{3}{14}\)y + \(\frac{5}{14}\) | |
| -1\(\frac{4}{11}\)y - \(\frac{5}{11}\) | |
| -1\(\frac{1}{4}\)y + \(\frac{7}{8}\) | |
| -1\(\frac{1}{2}\)y + 1\(\frac{1}{2}\) |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
-6c - 6y = 5c + 9y + 5
-6c = 5c + 9y + 5 + 6y
-6c - 5c = 9y + 5 + 6y
-11c = 15y + 5
c = \( \frac{15y + 5}{-11} \)
c = \( \frac{15y}{-11} \) + \( \frac{5}{-11} \)
c = -1\(\frac{4}{11}\)y - \(\frac{5}{11}\)
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h |
|
π r2h2 |
|
2(π r2) + 2π rh |
|
4π r2 |
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.
Simplify (9a)(4ab) - (8a2)(6b).
| -12a2b | |
| 182ab2 | |
| 84a2b | |
| 84ab2 |
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.
(9a)(4ab) - (8a2)(6b)
(9 x 4)(a x a x b) - (8 x 6)(a2 x b)
(36)(a1+1 x b) - (48)(a2b)
36a2b - 48a2b
-12a2b
Solve for z:
-9z - 9 > -4 + 9z
| z > 4 | |
| z > -1 | |
| z > \(\frac{1}{5}\) | |
| z > -\(\frac{5}{18}\) |
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.
-9z - 9 > -4 + 9z
-9z > -4 + 9z + 9
-9z - 9z > -4 + 9
-18z > 5
z > \( \frac{5}{-18} \)
z > -\(\frac{5}{18}\)
If a = 6, b = 3, c = 1, and d = 3, what is the perimeter of this quadrilateral?
| 15 | |
| 13 | |
| 24 | |
| 18 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 6 + 3 + 1 + 3
p = 13