| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
Solve for y:
y2 - 6y + 0 = -5y + 2
| 4 or -4 | |
| -1 or 2 | |
| 5 or -5 | |
| 6 or -2 |
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 - 6y + 0 = -5y + 2
y2 - 6y + 0 - 2 = -5y
y2 - 6y + 5y - 2 = 0
y2 - y - 2 = 0
Next, factor the quadratic equation:
y2 - y - 2 = 0
(y + 1)(y - 2) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 1) or (y - 2) must equal zero:
If (y + 1) = 0, y must equal -1
If (y - 2) = 0, y must equal 2
So the solution is that y = -1 or 2
A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
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π r2h |
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2(π r2) + 2π rh |
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π r2h2 |
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.
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.
Simplify (9a)(9ab) + (2a2)(2b).
| 85a2b | |
| -77ab2 | |
| 77ab2 | |
| 85ab2 |
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.
(9a)(9ab) + (2a2)(2b)
(9 x 9)(a x a x b) + (2 x 2)(a2 x b)
(81)(a1+1 x b) + (4)(a2b)
81a2b + 4a2b
85a2b
On this circle, line segment AB is the:
circumference |
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radius |
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chord |
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diameter |
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).