| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.83 |
| Score | 0% | 57% |
Solve -b + b = -2b - 4y - 9 for b in terms of y.
| y + \(\frac{1}{14}\) | |
| 5y - 5 | |
| 2y + 1\(\frac{2}{3}\) | |
| -5y - 9 |
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.
-b + y = -2b - 4y - 9
-b = -2b - 4y - 9 - y
-b + 2b = -4y - 9 - y
b = -5y - 9
Solve for z:
z2 - 4 = 0
| 2 or -2 | |
| 8 or 2 | |
| 9 or 3 | |
| 7 or -9 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 - 4 = 0
(z - 2)(z + 2) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 2) or (z + 2) must equal zero:
If (z - 2) = 0, z must equal 2
If (z + 2) = 0, z must equal -2
So the solution is that z = 2 or -2
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
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acute, obtuse, right |
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right, acute, obtuse |
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right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Simplify (y - 1)(y + 4)
| y2 + 5y + 4 | |
| y2 - 3y - 4 | |
| y2 - 5y + 4 | |
| y2 + 3y - 4 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 1)(y + 4)
(y x y) + (y x 4) + (-1 x y) + (-1 x 4)
y2 + 4y - y - 4
y2 + 3y - 4
Which types of triangles will always have at least two sides of equal length?
equilateral, isosceles and right |
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equilateral and isosceles |
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isosceles and right |
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equilateral 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.