| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.84 |
| Score | 0% | 57% |
Simplify (y + 8)(y + 9)
| y2 - 17y + 72 | |
| y2 + y - 72 | |
| y2 + 17y + 72 | |
| y2 - y - 72 |
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 + 8)(y + 9)
(y x y) + (y x 9) + (8 x y) + (8 x 9)
y2 + 9y + 8y + 72
y2 + 17y + 72
If the length of AB equals the length of BD, point B __________ this line segment.
midpoints |
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intersects |
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bisects |
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trisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
Solve for c:
c2 + 10c + 52 = -4c + 4
| 9 or 6 | |
| 3 or -4 | |
| -6 or -8 | |
| 2 or -5 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
c2 + 10c + 52 = -4c + 4
c2 + 10c + 52 - 4 = -4c
c2 + 10c + 4c + 48 = 0
c2 + 14c + 48 = 0
Next, factor the quadratic equation:
c2 + 14c + 48 = 0
(c + 6)(c + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c + 6) or (c + 8) must equal zero:
If (c + 6) = 0, c must equal -6
If (c + 8) = 0, c must equal -8
So the solution is that c = -6 or -8
If a = c = 9, b = d = 10, what is the area of this rectangle?
| 90 | |
| 16 | |
| 40 | |
| 8 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 9 x 10
a = 90
On this circle, line segment CD is the:
diameter |
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circumference |
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chord |
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radius |
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).