| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
Solve for c:
-9c - 6 < -9 + 3c
| c < -\(\frac{1}{9}\) | |
| c < \(\frac{3}{4}\) | |
| c < -\(\frac{2}{7}\) | |
| c < \(\frac{1}{4}\) |
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.
-9c - 6 < -9 + 3c
-9c < -9 + 3c + 6
-9c - 3c < -9 + 6
-12c < -3
c < \( \frac{-3}{-12} \)
c < \(\frac{1}{4}\)
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
|
right, acute, obtuse |
|
acute, obtuse, right |
|
right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
If c = 6 and x = -3, what is the value of -3c(c - x)?
| -384 | |
| -162 | |
| 18 | |
| 90 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-3c(c - x)
-3(6)(6 + 3)
-3(6)(9)
(-18)(9)
-162
Simplify (y + 9)(y + 8)
| y2 - y - 72 | |
| y2 + y - 72 | |
| y2 - 17y + 72 | |
| y2 + 17y + 72 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 9)(y + 8)
(y x y) + (y x 8) + (9 x y) + (9 x 8)
y2 + 8y + 9y + 72
y2 + 17y + 72
What is the circumference of a circle with a diameter of 15?
| 1π | |
| 12π | |
| 15π | |
| 14π |
The formula for circumference is circle diameter x π:
c = πd
c = 15π