| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
The endpoints of this line segment are at (-2, 8) and (2, -2). What is the slope of this line?
| -3 | |
| -2\(\frac{1}{2}\) | |
| -1\(\frac{1}{2}\) | |
| 3 |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 8) and (2, -2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (8.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)Simplify (y + 8)(y - 5)
| y2 - 13y + 40 | |
| y2 + 13y + 40 | |
| y2 - 3y - 40 | |
| y2 + 3y - 40 |
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 + 8)(y - 5)
(y x y) + (y x -5) + (8 x y) + (8 x -5)
y2 - 5y + 8y - 40
y2 + 3y - 40
Find the value of c:
-9c + y = 1
-6c + 8y = 2
| -\(\frac{26}{29}\) | |
| -\(\frac{1}{11}\) | |
| 2\(\frac{5}{6}\) | |
| -1\(\frac{1}{10}\) |
You need to find the value of c so solve the first equation in terms of y:
-9c + y = 1
y = 1 + 9c
then substitute the result (1 - -9c) into the second equation:
-6c + 8(1 + 9c) = 2
-6c + (8 x 1) + (8 x 9c) = 2
-6c + 8 + 72c = 2
-6c + 72c = 2 - 8
66c = -6
c = \( \frac{-6}{66} \)
c = -\(\frac{1}{11}\)
If side x = 12cm, side y = 11cm, and side z = 10cm what is the perimeter of this triangle?
| 33cm | |
| 35cm | |
| 32cm | |
| 40cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 12cm + 11cm + 10cm = 33cm
The dimensions of this cube are height (h) = 2, length (l) = 8, and width (w) = 1. What is the volume?
| 72 | |
| 27 | |
| 64 | |
| 16 |
The volume of a cube is height x length x width:
v = h x l x w
v = 2 x 8 x 1
v = 16