| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
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:
4c - 1 = -7 + c
| -6 | |
| -1 | |
| \(\frac{1}{3}\) | |
| -2 |
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 equal sign and the answer on the other.
4c - 1 = -7 + c
4c = -7 + c + 1
4c - c = -7 + 1
3c = -6
c = \( \frac{-6}{3} \)
c = -2
Simplify (y - 1)(y - 1)
| y2 + 2y + 1 | |
| 80 | |
| y2 - 1 | |
| y2 - 2y + 1 |
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 - 1)(y - 1)
(y x y) + (y x -1) + (-1 x y) + (-1 x -1)
y2 - y - y + 1
y2 - 2y + 1
If a = 5, b = 2, c = 1, and d = 4, what is the perimeter of this quadrilateral?
| 12 | |
| 22 | |
| 17 | |
| 18 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 5 + 2 + 1 + 4
p = 12
Find the value of b:
-5b + x = 7
6b - 9x = -1
| -\(\frac{1}{4}\) | |
| -1\(\frac{5}{9}\) | |
| -1\(\frac{23}{39}\) | |
| -1\(\frac{3}{11}\) |
You need to find the value of b so solve the first equation in terms of x:
-5b + x = 7
x = 7 + 5b
then substitute the result (7 - -5b) into the second equation:
6b - 9(7 + 5b) = -1
6b + (-9 x 7) + (-9 x 5b) = -1
6b - 63 - 45b = -1
6b - 45b = -1 + 63
-39b = 62
b = \( \frac{62}{-39} \)
b = -1\(\frac{23}{39}\)