| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.83 |
| Score | 0% | 57% |
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
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acute, obtuse, right |
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right, obtuse, acute |
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acute, right, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Which of the following is not required to define the slope-intercept equation for a line?
x-intercept |
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slope |
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y-intercept |
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\({\Delta y \over \Delta x}\) |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
For this diagram, the Pythagorean theorem states that b2 = ?
c2 - a2 |
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c - a |
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c2 + a2 |
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a2 - c2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
Solve for z:
-9z + 4 = \( \frac{z}{5} \)
| -\(\frac{6}{35}\) | |
| -1\(\frac{5}{16}\) | |
| -\(\frac{4}{21}\) | |
| \(\frac{10}{23}\) |
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.
-9z + 4 = \( \frac{z}{5} \)
5 x (-9z + 4) = z
(5 x -9z) + (5 x 4) = z
-45z + 20 = z
-45z + 20 - z = 0
-45z - z = -20
-46z = -20
z = \( \frac{-20}{-46} \)
z = \(\frac{10}{23}\)
Breaking apart a quadratic expression into a pair of binomials is called:
normalizing |
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factoring |
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squaring |
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deconstructing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.