| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.63 |
| Score | 0% | 53% |
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
|
equilateral and isosceles |
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equilateral and right |
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equilateral, isosceles and right |
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.
If the base of this triangle is 6 and the height is 6, what is the area?
| 39 | |
| 48 | |
| 24 | |
| 18 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 6 x 6 = \( \frac{36}{2} \) = 18
What is 7a6 + 8a6?
| 56a6 | |
| -a12 | |
| a612 | |
| 15a6 |
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.
7a6 + 8a6 = 15a6
Solve -4b + 7b = -2b - 8x + 8 for b in terms of x.
| 7\(\frac{1}{2}\)x - 4 | |
| 2x - 1\(\frac{1}{2}\) | |
| 1\(\frac{1}{2}\)x - \(\frac{1}{2}\) | |
| \(\frac{2}{9}\)x + \(\frac{2}{3}\) |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
-4b + 7x = -2b - 8x + 8
-4b = -2b - 8x + 8 - 7x
-4b + 2b = -8x + 8 - 7x
-2b = -15x + 8
b = \( \frac{-15x + 8}{-2} \)
b = \( \frac{-15x}{-2} \) + \( \frac{8}{-2} \)
b = 7\(\frac{1}{2}\)x - 4
The endpoints of this line segment are at (-2, -4) and (2, 2). What is the slope-intercept equation for this line?
| y = 2\(\frac{1}{2}\)x + 3 | |
| y = -x - 1 | |
| y = 1\(\frac{1}{2}\)x - 1 | |
| y = 2\(\frac{1}{2}\)x + 4 |
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, -4) and (2, 2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{6}{4} \)Plugging these values into the slope-intercept equation:
y = 1\(\frac{1}{2}\)x - 1