| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.85 |
| Score | 0% | 57% |
Which of the following is not required to define the slope-intercept equation for a line?
y-intercept |
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x-intercept |
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slope |
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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.
Solve for z:
-8z + 9 > \( \frac{z}{7} \)
| z > 4\(\frac{2}{13}\) | |
| z > 1\(\frac{1}{8}\) | |
| z > -\(\frac{35}{64}\) | |
| z > 1\(\frac{2}{19}\) |
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.
-8z + 9 > \( \frac{z}{7} \)
7 x (-8z + 9) > z
(7 x -8z) + (7 x 9) > z
-56z + 63 > z
-56z + 63 - z > 0
-56z - z > -63
-57z > -63
z > \( \frac{-63}{-57} \)
z > 1\(\frac{2}{19}\)
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.
If a = 4, b = 1, c = 4, and d = 2, what is the perimeter of this quadrilateral?
| 24 | |
| 20 | |
| 11 | |
| 25 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 4 + 1 + 4 + 2
p = 11
The formula for the area of a circle is which of the following?
c = π d2 |
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c = π r2 |
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c = π r |
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c = π d |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.