| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.79 |
| Score | 0% | 56% |
The endpoints of this line segment are at (-2, -1) and (2, 5). What is the slope-intercept equation for this line?
| y = -x - 2 | |
| y = 1\(\frac{1}{2}\)x + 2 | |
| y = 2\(\frac{1}{2}\)x - 4 | |
| y = 2\(\frac{1}{2}\)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 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, -1) and (2, 5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)Plugging these values into the slope-intercept equation:
y = 1\(\frac{1}{2}\)x + 2
Which types of triangles will always have at least two sides of equal length?
equilateral and right |
|
equilateral, isosceles and right |
|
isosceles 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 dimensions of this trapezoid are a = 6, b = 6, c = 7, d = 2, and h = 5. What is the area?
| 20 | |
| 10 | |
| 25 | |
| 15 |
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(6 + 2)(5)
a = ½(8)(5)
a = ½(40) = \( \frac{40}{2} \)
a = 20
What is the area of a circle with a radius of 5?
| 6π | |
| 25π | |
| 16π | |
| 3π |
The formula for area is πr2:
a = πr2
a = π(52)
a = 25π
Simplify (5a)(7ab) - (3a2)(5b).
| 20a2b | |
| 50ab2 | |
| 50a2b | |
| -20ab2 |
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)(7ab) - (3a2)(5b)
(5 x 7)(a x a x b) - (3 x 5)(a2 x b)
(35)(a1+1 x b) - (15)(a2b)
35a2b - 15a2b
20a2b