| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
If side a = 9, side b = 8, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{145} \) | |
| \( \sqrt{65} \) | |
| \( \sqrt{97} \) | |
| \( \sqrt{50} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 92 + 82
c2 = 81 + 64
c2 = 145
c = \( \sqrt{145} \)
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
|
equal length |
|
right angle |
|
equal angle |
A trapezoid is a quadrilateral with one set of parallel sides.
What is 4a + 4a?
| 8a | |
| 16a | |
| 0 | |
| 2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
4a + 4a = 8a
Simplify (5a)(4ab) + (5a2)(9b).
| 65a2b | |
| 65ab2 | |
| 126ab2 | |
| 126a2b |
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.
(5a)(4ab) + (5a2)(9b)
(5 x 4)(a x a x b) + (5 x 9)(a2 x b)
(20)(a1+1 x b) + (45)(a2b)
20a2b + 45a2b
65a2b
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
|
quadrilateral |
|
trapezoid |
|
triangle |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.