| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.94 |
| Score | 0% | 59% |
Which of the following is not required to define the slope-intercept equation for a line?
y-intercept |
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slope |
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\({\Delta y \over \Delta x}\) |
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x-intercept |
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.
A trapezoid is a quadrilateral with one set of __________ sides.
equal angle |
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equal length |
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parallel |
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right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
For this diagram, the Pythagorean theorem states that b2 = ?
c2 + a2 |
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c2 - a2 |
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c - a |
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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 a:
-5a - 2 > 8 + 6a
| a > -1 | |
| a > -1\(\frac{3}{5}\) | |
| a > -1\(\frac{1}{5}\) | |
| a > -\(\frac{10}{11}\) |
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.
-5a - 2 > 8 + 6a
-5a > 8 + 6a + 2
-5a - 6a > 8 + 2
-11a > 10
a > \( \frac{10}{-11} \)
a > -\(\frac{10}{11}\)
What is 4a - 8a?
| -4a | |
| a2 | |
| 12 | |
| 32a |
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.
4a - 8a = -4a