| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.95 |
| Score | 0% | 59% |
The endpoints of this line segment are at (-2, 4) and (2, 0). What is the slope of this line?
| -\(\frac{1}{2}\) | |
| 1\(\frac{1}{2}\) | |
| -1 | |
| -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, 4) and (2, 0) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(0.0) - (4.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)Solve for b:
7b + 4 > 1 + 3b
| b > \(\frac{2}{7}\) | |
| b > -7 | |
| b > 1\(\frac{1}{2}\) | |
| b > -\(\frac{3}{4}\) |
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.
7b + 4 > 1 + 3b
7b > 1 + 3b - 4
7b - 3b > 1 - 4
4b > -3
b > \( \frac{-3}{4} \)
b > -\(\frac{3}{4}\)
Solve for y:
y2 + 9y - 6 = 5y - 1
| 2 or -8 | |
| 7 or -9 | |
| 1 or -5 | |
| 8 or -9 |
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:
y2 + 9y - 6 = 5y - 1
y2 + 9y - 6 + 1 = 5y
y2 + 9y - 5y - 5 = 0
y2 + 4y - 5 = 0
Next, factor the quadratic equation:
y2 + 4y - 5 = 0
(y - 1)(y + 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 1) or (y + 5) must equal zero:
If (y - 1) = 0, y must equal 1
If (y + 5) = 0, y must equal -5
So the solution is that y = 1 or -5
A right angle measures:
360° |
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180° |
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90° |
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45° |
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.
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
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equilateral and isosceles |
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equilateral and right |
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equilateral, isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.