| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.62 |
| Score | 0% | 52% |
Simplify (y - 3)(y + 2)
| y2 - y - 6 | |
| y2 + y - 6 | |
| y2 - 5y + 6 | |
| y2 + 5y + 6 |
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 - 3)(y + 2)
(y x y) + (y x 2) + (-3 x y) + (-3 x 2)
y2 + 2y - 3y - 6
y2 - y - 6
On this circle, line segment CD is the:
diameter |
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circumference |
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radius |
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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).
Solve -9a - 6a = -7a - 5y - 7 for a in terms of y.
| -4y - 5 | |
| -\(\frac{1}{2}\)y + 3\(\frac{1}{2}\) | |
| \(\frac{2}{7}\)y + \(\frac{3}{7}\) | |
| -\(\frac{1}{7}\)y + 1\(\frac{2}{7}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
-9a - 6y = -7a - 5y - 7
-9a = -7a - 5y - 7 + 6y
-9a + 7a = -5y - 7 + 6y
-2a = y - 7
a = \( \frac{y - 7}{-2} \)
a = \( \frac{y}{-2} \) + \( \frac{-7}{-2} \)
a = -\(\frac{1}{2}\)y + 3\(\frac{1}{2}\)
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
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equilateral, isosceles and right |
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equilateral and isosceles |
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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.
If a = c = 5, b = d = 9, and the blue angle = 50°, what is the area of this parallelogram?
| 49 | |
| 8 | |
| 45 | |
| 42 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 5 x 9
a = 45