| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
If side a = 8, side b = 8, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{29} \) | |
| \( \sqrt{128} \) | |
| \( \sqrt{98} \) | |
| \( \sqrt{117} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 82 + 82
c2 = 64 + 64
c2 = 128
c = \( \sqrt{128} \)
On this circle, line segment AB is the:
circumference |
|
radius |
|
chord |
|
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).
The endpoints of this line segment are at (-2, -5) and (2, 3). What is the slope of this line?
| -1 | |
| 2 | |
| -\(\frac{1}{2}\) | |
| -2\(\frac{1}{2}\) |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -5) and (2, 3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (-5.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)If a = 3, b = 1, c = 9, and d = 4, what is the perimeter of this quadrilateral?
| 24 | |
| 17 | |
| 31 | |
| 20 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 3 + 1 + 9 + 4
p = 17
Simplify (5a)(6ab) + (9a2)(7b).
| 93a2b | |
| -33ab2 | |
| 33a2b | |
| 176a2b |
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)(6ab) + (9a2)(7b)
(5 x 6)(a x a x b) + (9 x 7)(a2 x b)
(30)(a1+1 x b) + (63)(a2b)
30a2b + 63a2b
93a2b