| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
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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\({\Delta y \over \Delta x}\) |
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slope |
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 right angle measures:
180° |
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360° |
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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.
On this circle, a line segment connecting point A to point D is called:
circumference |
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radius |
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diameter |
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chord |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
The dimensions of this trapezoid are a = 4, b = 9, c = 6, d = 4, and h = 3. What is the area?
| 19\(\frac{1}{2}\) | |
| 16 | |
| 9 | |
| 15 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(9 + 4)(3)
a = ½(13)(3)
a = ½(39) = \( \frac{39}{2} \)
a = 19\(\frac{1}{2}\)
Simplify (y - 5)(y - 9)
| y2 - 14y + 45 | |
| y2 + 4y - 45 | |
| y2 - 4y - 45 | |
| y2 + 14y + 45 |
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 - 5)(y - 9)
(y x y) + (y x -9) + (-5 x y) + (-5 x -9)
y2 - 9y - 5y + 45
y2 - 14y + 45