| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.51 |
| Score | 0% | 50% |
Simplify (y + 9)(y + 5)
| y2 - 4y - 45 | |
| y2 + 14y + 45 | |
| y2 - 14y + 45 | |
| y2 + 4y - 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 + 9)(y + 5)
(y x y) + (y x 5) + (9 x y) + (9 x 5)
y2 + 5y + 9y + 45
y2 + 14y + 45
On this circle, line segment CD is the:
chord |
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radius |
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circumference |
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diameter |
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 = 7, c = 7, d = 2, and h = 2. What is the area?
| 9 | |
| 16\(\frac{1}{2}\) | |
| 40 | |
| 5 |
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(7 + 2)(2)
a = ½(9)(2)
a = ½(18) = \( \frac{18}{2} \)
a = 9
Which of the following is not required to define the slope-intercept equation for a line?
slope |
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x-intercept |
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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.
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
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triangle |
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trapezoid |
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rhombus |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.