| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
|
right, acute, obtuse |
|
right, obtuse, acute |
|
acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Factor y2 - 15y + 56
| (y + 8)(y - 7) | |
| (y + 8)(y + 7) | |
| (y - 8)(y + 7) | |
| (y - 8)(y - 7) |
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 56 as well and sum (Inside, Outside) to equal -15. For this problem, those two numbers are -8 and -7. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 15y + 56
y2 + (-8 - 7)y + (-8 x -7)
(y - 8)(y - 7)
Solve for c:
-7c + 2 > 3 + 2c
| c > -4 | |
| c > -\(\frac{1}{9}\) | |
| c > -\(\frac{5}{7}\) | |
| 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.
-7c + 2 > 3 + 2c
-7c > 3 + 2c - 2
-7c - 2c > 3 - 2
-9c > 1
c > \( \frac{1}{-9} \)
c > -\(\frac{1}{9}\)
What is 4a2 - 6a2?
| 10 | |
| 10a4 | |
| -2a2 | |
| 24a2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
4a2 - 6a2 = -2a2
What is the area of a circle with a diameter of 8?
| 16π | |
| 36π | |
| 7π | |
| 4π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{8}{2} \)
r = 4
a = πr2
a = π(42)
a = 16π