| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
A trapezoid is a quadrilateral with one set of __________ sides.
equal length |
|
equal angle |
|
parallel |
|
right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
Which of the following is not required to define the slope-intercept equation for a line?
\({\Delta y \over \Delta x}\) |
|
y-intercept |
|
slope |
|
x-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.
If AD = 28 and BD = 20, AB = ?
| 4 | |
| 8 | |
| 17 | |
| 3 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDIf a = 2 and y = -6, what is the value of 3a(a - y)?
| 48 | |
| 312 | |
| -15 | |
| -28 |
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.)
3a(a - y)
3(2)(2 + 6)
3(2)(8)
(6)(8)
48
If side a = 4, side b = 7, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{61} \) | |
| \( \sqrt{68} \) | |
| \( \sqrt{65} \) | |
| \( \sqrt{41} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 72
c2 = 16 + 49
c2 = 65
c = \( \sqrt{65} \)