| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
If the length of AB equals the length of BD, point B __________ this line segment.
midpoints |
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bisects |
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intersects |
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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 a:
a2 - 4a + 3 = 0
| 1 or 3 | |
| 2 or -5 | |
| 6 or -7 | |
| 3 or -1 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 - 4a + 3 = 0
(a - 1)(a - 3) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 1) or (a - 3) must equal zero:
If (a - 1) = 0, a must equal 1
If (a - 3) = 0, a must equal 3
So the solution is that a = 1 or 3
Find the value of c:
-7c + y = 3
2c + y = 3
| -\(\frac{9}{53}\) | |
| \(\frac{3}{8}\) | |
| -1 |
You need to find the value of c so solve the first equation in terms of y:
-7c + y = 3
y = 3 + 7c
then substitute the result (3 - -7c) into the second equation:
2c + 1(3 + 7c) = 3
2c + (1 x 3) + (1 x 7c) = 3
2c + 3 + 7c = 3
2c + 7c = 3 - 3
9c = 0
c = \( \frac{0}{9} \)
c =
Simplify 9a x 5b.
| 45a2b2 | |
| 45\( \frac{b}{a} \) | |
| 45ab | |
| 14ab |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
9a x 5b = (9 x 5) (a x b) = 45ab
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
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h x l x w |
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lw x wh + lh |
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2lw x 2wh + 2lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.