| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
The dimensions of this trapezoid are a = 5, b = 8, c = 6, d = 3, and h = 4. What is the area?
| 16 | |
| 22\(\frac{1}{2}\) | |
| 22 | |
| 10 |
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(8 + 3)(4)
a = ½(11)(4)
a = ½(44) = \( \frac{44}{2} \)
a = 22
Which types of triangles will always have at least two sides of equal length?
equilateral, isosceles and right |
|
isosceles and right |
|
equilateral 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.
The endpoints of this line segment are at (-2, 3) and (2, -1). What is the slope-intercept equation for this line?
| y = -x + 1 | |
| y = x - 1 | |
| y = 2\(\frac{1}{2}\)x + 0 | |
| y = x + 3 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 1. 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, 3) and (2, -1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)Plugging these values into the slope-intercept equation:
y = -x + 1
What is the area of a circle with a radius of 2?
| 6π | |
| 4π | |
| 36π | |
| 3π |
The formula for area is πr2:
a = πr2
a = π(22)
a = 4π
What is 7a7 + 6a7?
| 42a7 | |
| 13a7 | |
| 42a14 | |
| 1 |
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.
7a7 + 6a7 = 13a7