| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
If side x = 9cm, side y = 8cm, and side z = 8cm what is the perimeter of this triangle?
| 25cm | |
| 32cm | |
| 30cm | |
| 22cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 9cm + 8cm + 8cm = 25cm
Solve for y:
-3y + 3 > \( \frac{y}{5} \)
| y > \(\frac{15}{16}\) | |
| y > \(\frac{35}{64}\) | |
| y > 6\(\frac{3}{4}\) | |
| y > 1\(\frac{3}{7}\) |
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.
-3y + 3 > \( \frac{y}{5} \)
5 x (-3y + 3) > y
(5 x -3y) + (5 x 3) > y
-15y + 15 > y
-15y + 15 - y > 0
-15y - y > -15
-16y > -15
y > \( \frac{-15}{-16} \)
y > \(\frac{15}{16}\)
A coordinate grid is composed of which of the following?
x-axis |
|
y-axis |
|
all of these |
|
origin |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
Factor y2 + 6y - 7
| (y + 1)(y + 7) | |
| (y - 1)(y + 7) | |
| (y + 1)(y - 7) | |
| (y - 1)(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 -7 as well and sum (Inside, Outside) to equal 6. For this problem, those two numbers are -1 and 7. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 6y - 7
y2 + (-1 + 7)y + (-1 x 7)
(y - 1)(y + 7)
The endpoints of this line segment are at (-2, 3) and (2, -1). What is the slope of this line?
| -2\(\frac{1}{2}\) | |
| -1 | |
| -3 | |
| -\(\frac{1}{2}\) |
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, 3) and (2, -1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)