| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.56 |
| Score | 0% | 71% |
If side x = 9cm, side y = 12cm, and side z = 9cm what is the perimeter of this triangle?
| 33cm | |
| 32cm | |
| 39cm | |
| 30cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 9cm + 12cm + 9cm = 30cm
Solve for a:
a2 + 5a - 37 = a - 5
| 8 or 8 | |
| 4 or -8 | |
| -7 or -8 | |
| 5 or 5 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
a2 + 5a - 37 = a - 5
a2 + 5a - 37 + 5 = a
a2 + 5a - a - 32 = 0
a2 + 4a - 32 = 0
Next, factor the quadratic equation:
a2 + 4a - 32 = 0
(a - 4)(a + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 4) or (a + 8) must equal zero:
If (a - 4) = 0, a must equal 4
If (a + 8) = 0, a must equal -8
So the solution is that a = 4 or -8
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Last |
|
Inside |
|
Odd |
|
First |
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.
The dimensions of this cube are height (h) = 6, length (l) = 5, and width (w) = 5. What is the volume?
| 60 | |
| 84 | |
| 216 | |
| 150 |
The volume of a cube is height x length x width:
v = h x l x w
v = 6 x 5 x 5
v = 150
Solve for c:
7c - 6 = 6 + 8c
| \(\frac{8}{9}\) | |
| -1\(\frac{1}{2}\) | |
| -12 | |
| 9 |
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 equal sign and the answer on the other.
7c - 6 = 6 + 8c
7c = 6 + 8c + 6
7c - 8c = 6 + 6
-c = 12
c = \( \frac{12}{-1} \)
c = -12