| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
|
equilateral and right |
|
equilateral, isosceles and right |
|
equilateral and isosceles |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
Simplify (9a)(3ab) + (6a2)(8b).
| 168ab2 | |
| -21ab2 | |
| 75a2b | |
| 168a2b |
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) + (6a2)(8b)
(9 x 3)(a x a x b) + (6 x 8)(a2 x b)
(27)(a1+1 x b) + (48)(a2b)
27a2b + 48a2b
75a2b
Simplify (y - 9)(y + 1)
| y2 - 10y + 9 | |
| y2 + 8y - 9 | |
| y2 - 8y - 9 | |
| y2 + 10y + 9 |
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 - 9)(y + 1)
(y x y) + (y x 1) + (-9 x y) + (-9 x 1)
y2 + y - 9y - 9
y2 - 8y - 9
If side a = 4, side b = 8, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{130} \) | |
| \( \sqrt{41} \) | |
| \( \sqrt{80} \) | |
| \( \sqrt{2} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 82
c2 = 16 + 64
c2 = 80
c = \( \sqrt{80} \)
What is 3a - 3a?
| 0 | |
| 0a | |
| a2 | |
| 9a |
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.
3a - 3a = 0a