| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.66 |
| Score | 0% | 53% |
If the length of AB equals the length of BD, point B __________ this line segment.
trisects |
|
bisects |
|
midpoints |
|
intersects |
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 dimensions of this trapezoid are a = 6, b = 5, c = 9, d = 8, and h = 5. What is the area?
| 5 | |
| 32\(\frac{1}{2}\) | |
| 34 | |
| 16\(\frac{1}{2}\) |
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(5 + 8)(5)
a = ½(13)(5)
a = ½(65) = \( \frac{65}{2} \)
a = 32\(\frac{1}{2}\)
Simplify (7a)(9ab) - (7a2)(3b).
| 84a2b | |
| -42ab2 | |
| 84ab2 | |
| 42a2b |
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)(9ab) - (7a2)(3b)
(7 x 9)(a x a x b) - (7 x 3)(a2 x b)
(63)(a1+1 x b) - (21)(a2b)
63a2b - 21a2b
42a2b
On this circle, line segment CD is the:
chord |
|
radius |
|
circumference |
|
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).
Simplify (y + 4)(y - 7)
| y2 + 11y + 28 | |
| y2 - 3y - 28 | |
| y2 - 11y + 28 | |
| y2 + 3y - 28 |
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 + 4)(y - 7)
(y x y) + (y x -7) + (4 x y) + (4 x -7)
y2 - 7y + 4y - 28
y2 - 3y - 28