| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
Solve for y:
y2 - 3y - 54 = 0
| -1 or -6 | |
| 6 or 3 | |
| 2 or -6 | |
| -6 or 9 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
y2 - 3y - 54 = 0
(y + 6)(y - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 6) or (y - 9) must equal zero:
If (y + 6) = 0, y must equal -6
If (y - 9) = 0, y must equal 9
So the solution is that y = -6 or 9
A(n) __________ is to a parallelogram as a square is to a rectangle.
triangle |
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rhombus |
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trapezoid |
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quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
A quadrilateral is a shape with __________ sides.
4 |
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5 |
|
2 |
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3 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Simplify (5a)(9ab) + (8a2)(8b).
| -19ab2 | |
| 109a2b | |
| 224a2b | |
| 224ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(5a)(9ab) + (8a2)(8b)
(5 x 9)(a x a x b) + (8 x 8)(a2 x b)
(45)(a1+1 x b) + (64)(a2b)
45a2b + 64a2b
109a2b
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
π r2h |
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π r2h2 |
|
4π r2 |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.