| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
If side a = 1, side b = 8, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{162} \) | |
| \( \sqrt{65} \) | |
| \( \sqrt{130} \) | |
| 5 |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 12 + 82
c2 = 1 + 64
c2 = 65
c = \( \sqrt{65} \)
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
|
equal angle |
|
right angle |
|
equal length |
A trapezoid is a quadrilateral with one set of parallel sides.
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
|
2lw x 2wh + 2lh |
|
lw x wh + lh |
|
h x l x w |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
If b = 1 and y = -5, what is the value of 6b(b - y)?
| -640 | |
| -240 | |
| 36 | |
| -50 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
6b(b - y)
6(1)(1 + 5)
6(1)(6)
(6)(6)
36
Which of the following is not required to define the slope-intercept equation for a line?
slope |
|
\({\Delta y \over \Delta x}\) |
|
x-intercept |
|
y-intercept |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.