| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
Solve 9c + 5c = -4c - 6z + 9 for c in terms of z.
| -\(\frac{1}{8}\)z + \(\frac{1}{4}\) | |
| \(\frac{7}{11}\)z + \(\frac{3}{11}\) | |
| -3z - 6 | |
| -\(\frac{11}{13}\)z + \(\frac{9}{13}\) |
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.
9c + 5z = -4c - 6z + 9
9c = -4c - 6z + 9 - 5z
9c + 4c = -6z + 9 - 5z
13c = -11z + 9
c = \( \frac{-11z + 9}{13} \)
c = \( \frac{-11z}{13} \) + \( \frac{9}{13} \)
c = -\(\frac{11}{13}\)z + \(\frac{9}{13}\)
A right angle measures:
45° |
|
90° |
|
360° |
|
180° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
4π r2 |
|
π r2h2 |
|
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.
Simplify 3a x 3b.
| 9\( \frac{b}{a} \) | |
| 9a2b2 | |
| 9\( \frac{a}{b} \) | |
| 9ab |
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.
3a x 3b = (3 x 3) (a x b) = 9ab
If the base of this triangle is 1 and the height is 8, what is the area?
| 70 | |
| 40\(\frac{1}{2}\) | |
| 4 | |
| 98 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 1 x 8 = \( \frac{8}{2} \) = 4