| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
Solve for y:
y2 - 15y + 85 = 3y + 4
| 1 or -6 | |
| 9 | |
| 9 or 5 | |
| -6 or -9 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
y2 - 15y + 85 = 3y + 4
y2 - 15y + 85 - 4 = 3y
y2 - 15y - 3y + 81 = 0
y2 - 18y + 81 = 0
Next, factor the quadratic equation:
y2 - 18y + 81 = 0
(y - 9)(y - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, (y - 9) must equal zero:
If (y - 9) = 0, y must equal 9
So the solution is that y = 9
A quadrilateral is a shape with __________ sides.
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3 |
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4 |
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5 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Solve -6b - 8b = 5b - 2x - 7 for b in terms of x.
| 3\(\frac{1}{2}\)x - 4 | |
| -11x - 2 | |
| \(\frac{1}{2}\)x + \(\frac{2}{3}\) | |
| -\(\frac{6}{11}\)x + \(\frac{7}{11}\) |
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.
-6b - 8x = 5b - 2x - 7
-6b = 5b - 2x - 7 + 8x
-6b - 5b = -2x - 7 + 8x
-11b = 6x - 7
b = \( \frac{6x - 7}{-11} \)
b = \( \frac{6x}{-11} \) + \( \frac{-7}{-11} \)
b = -\(\frac{6}{11}\)x + \(\frac{7}{11}\)
On this circle, line segment AB is the:
radius |
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circumference |
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diameter |
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chord |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
What is 8a6 - 4a6?
| 32a6 | |
| a612 | |
| 4a6 | |
| 12 |
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.
8a6 - 4a6 = 4a6