| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
A right angle measures:
360° |
|
45° |
|
180° |
|
90° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Solve for b:
b2 + 4b - 5 = 0
| 3 or -3 | |
| 8 or 7 | |
| 4 or -4 | |
| 1 or -5 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
b2 + 4b - 5 = 0
(b - 1)(b + 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 1) or (b + 5) must equal zero:
If (b - 1) = 0, b must equal 1
If (b + 5) = 0, b must equal -5
So the solution is that b = 1 or -5
The endpoints of this line segment are at (-2, -7) and (2, 3). What is the slope-intercept equation for this line?
| y = x + 4 | |
| y = 2\(\frac{1}{2}\)x - 2 | |
| y = -3x - 1 | |
| y = -3x + 1 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -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, -7) and (2, 3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (-7.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)Plugging these values into the slope-intercept equation:
y = 2\(\frac{1}{2}\)x - 2
What is 4a3 - 5a3?
| 9 | |
| 9a6 | |
| -1a3 | |
| a36 |
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.
4a3 - 5a3 = -1a3
Simplify (y + 9)(y - 2)
| y2 - 7y - 18 | |
| y2 - 11y + 18 | |
| y2 + 11y + 18 | |
| y2 + 7y - 18 |
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 + 9)(y - 2)
(y x y) + (y x -2) + (9 x y) + (9 x -2)
y2 - 2y + 9y - 18
y2 + 7y - 18