| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.08 |
| Score | 0% | 62% |
Factor y2 - 12y + 27
| (y + 9)(y - 3) | |
| (y - 9)(y + 3) | |
| (y - 9)(y - 3) | |
| (y + 9)(y + 3) |
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 27 as well and sum (Inside, Outside) to equal -12. For this problem, those two numbers are -9 and -3. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 12y + 27
y2 + (-9 - 3)y + (-9 x -3)
(y - 9)(y - 3)
Find the value of a:
-9a + z = 7
-6a - 4z = 8
| -\(\frac{24}{29}\) | |
| -\(\frac{6}{7}\) | |
| 4\(\frac{1}{2}\) | |
| -1\(\frac{1}{5}\) |
You need to find the value of a so solve the first equation in terms of z:
-9a + z = 7
z = 7 + 9a
then substitute the result (7 - -9a) into the second equation:
-6a - 4(7 + 9a) = 8
-6a + (-4 x 7) + (-4 x 9a) = 8
-6a - 28 - 36a = 8
-6a - 36a = 8 + 28
-42a = 36
a = \( \frac{36}{-42} \)
a = -\(\frac{6}{7}\)
Order the following types of angle from least number of degrees to most number of degrees.
right, obtuse, acute |
|
right, acute, obtuse |
|
acute, right, obtuse |
|
acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
If angle a = 49° and angle b = 36° what is the length of angle c?
| 77° | |
| 88° | |
| 95° | |
| 76° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 49° - 36° = 95°
If a = c = 6, b = d = 3, and the blue angle = 61°, what is the area of this parallelogram?
| 18 | |
| 9 | |
| 15 | |
| 36 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 6 x 3
a = 18