| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.75 |
| Score | 0% | 55% |
The dimensions of this trapezoid are a = 4, b = 3, c = 6, d = 8, and h = 3. What is the area?
| 16\(\frac{1}{2}\) | |
| 22\(\frac{1}{2}\) | |
| 10\(\frac{1}{2}\) | |
| 9 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(3 + 8)(3)
a = ½(11)(3)
a = ½(33) = \( \frac{33}{2} \)
a = 16\(\frac{1}{2}\)
If BD = 7 and AD = 13, AB = ?
| 4 | |
| 10 | |
| 6 | |
| 14 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDFind the value of b:
5b + z = -7
5b - 6z = 1
| \(\frac{3}{17}\) | |
| -1\(\frac{6}{35}\) | |
| \(\frac{7}{46}\) | |
| -\(\frac{16}{17}\) |
You need to find the value of b so solve the first equation in terms of z:
5b + z = -7
z = -7 - 5b
then substitute the result (-7 - 5b) into the second equation:
5b - 6(-7 - 5b) = 1
5b + (-6 x -7) + (-6 x -5b) = 1
5b + 42 + 30b = 1
5b + 30b = 1 - 42
35b = -41
b = \( \frac{-41}{35} \)
b = -1\(\frac{6}{35}\)
Which of the following is not required to define the slope-intercept equation for a line?
\({\Delta y \over \Delta x}\) |
|
y-intercept |
|
x-intercept |
|
slope |
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 side a = 9, side b = 2, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{68} \) | |
| \( \sqrt{10} \) | |
| \( \sqrt{85} \) | |
| \( \sqrt{90} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 92 + 22
c2 = 81 + 4
c2 = 85
c = \( \sqrt{85} \)