| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.72 |
| Score | 0% | 54% |
If a = c = 7, b = d = 8, and the blue angle = 74°, what is the area of this parallelogram?
| 56 | |
| 36 | |
| 63 | |
| 6 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 7 x 8
a = 56
If side a = 7, side b = 9, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{8} \) | |
| \( \sqrt{130} \) | |
| \( \sqrt{106} \) | |
| \( \sqrt{37} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 72 + 92
c2 = 49 + 81
c2 = 130
c = \( \sqrt{130} \)
Solve 9a + 3a = 7a - 9y + 5 for a in terms of y.
| -6y + 2\(\frac{1}{2}\) | |
| -y + 3 | |
| -10y + 4 | |
| -2\(\frac{2}{3}\)y + \(\frac{1}{2}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
9a + 3y = 7a - 9y + 5
9a = 7a - 9y + 5 - 3y
9a - 7a = -9y + 5 - 3y
2a = -12y + 5
a = \( \frac{-12y + 5}{2} \)
a = \( \frac{-12y}{2} \) + \( \frac{5}{2} \)
a = -6y + 2\(\frac{1}{2}\)
If the length of AB equals the length of BD, point B __________ this line segment.
bisects |
|
midpoints |
|
trisects |
|
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.
Simplify (9a)(3ab) + (8a2)(6b).
| 168a2b | |
| 168ab2 | |
| 75a2b | |
| 21a2b |
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)(3ab) + (8a2)(6b)
(9 x 3)(a x a x b) + (8 x 6)(a2 x b)
(27)(a1+1 x b) + (48)(a2b)
27a2b + 48a2b
75a2b