Your Results | Global Average | |
---|---|---|
Questions | 5 | 5 |
Correct | 0 | 3.01 |
Score | 0% | 60% |
If the length of AB equals the length of BD, point B __________ this line segment.
midpoints |
|
intersects |
|
bisects |
|
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.
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
2lw x 2wh + 2lh |
|
h x l x w |
|
lw x wh + lh |
|
h2 x l2 x w2 |
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.
Factor y2 - 5y - 24
(y + 8)(y - 3) | |
(y - 8)(y + 3) | |
(y + 8)(y + 3) | |
(y - 8)(y - 3) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -24 as well and sum (Inside, Outside) to equal -5. For this problem, those two numbers are -8 and 3. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 5y - 24
y2 + (-8 + 3)y + (-8 x 3)
(y - 8)(y + 3)
If angle a = 66° and angle b = 41° what is the length of angle c?
99° | |
98° | |
123° | |
73° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 66° - 41° = 73°
Simplify (7a)(3ab) - (9a2)(4b).
57a2b | |
-15a2b | |
15ab2 | |
57ab2 |
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.
(7a)(3ab) - (9a2)(4b)
(7 x 3)(a x a x b) - (9 x 4)(a2 x b)
(21)(a1+1 x b) - (36)(a2b)
21a2b - 36a2b
-15a2b