| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.79 |
| Score | 0% | 56% |
Which types of triangles will always have at least two sides of equal length?
equilateral and right |
|
isosceles and right |
|
equilateral, isosceles and right |
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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.
Solve 7b + 2b = -5b - 3y + 7 for b in terms of y.
| \(\frac{4}{11}\)y - \(\frac{8}{11}\) | |
| -\(\frac{3}{10}\)y + \(\frac{3}{5}\) | |
| -3y + \(\frac{1}{4}\) | |
| -\(\frac{5}{12}\)y + \(\frac{7}{12}\) |
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.
7b + 2y = -5b - 3y + 7
7b = -5b - 3y + 7 - 2y
7b + 5b = -3y + 7 - 2y
12b = -5y + 7
b = \( \frac{-5y + 7}{12} \)
b = \( \frac{-5y}{12} \) + \( \frac{7}{12} \)
b = -\(\frac{5}{12}\)y + \(\frac{7}{12}\)
What is 5a - 5a?
| 0a | |
| a2 | |
| 2 | |
| 25a |
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.
5a - 5a = 0a
Solve for x:
x2 + 4x - 21 = 0
| 2 or 1 | |
| 3 or -7 | |
| 6 or -7 | |
| 7 or -8 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
x2 + 4x - 21 = 0
(x - 3)(x + 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 3) or (x + 7) must equal zero:
If (x - 3) = 0, x must equal 3
If (x + 7) = 0, x must equal -7
So the solution is that x = 3 or -7
The dimensions of this cube are height (h) = 1, length (l) = 8, and width (w) = 8. What is the surface area?
| 58 | |
| 96 | |
| 160 | |
| 192 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 8 x 8) + (2 x 8 x 1) + (2 x 8 x 1)
sa = (128) + (16) + (16)
sa = 160