| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
|
quadrilateral |
|
triangle |
|
rhombus |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Solve for y:
y2 + 12y + 35 = 0
| 7 or 6 | |
| -5 or -7 | |
| 5 or -6 | |
| -3 or -8 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
y2 + 12y + 35 = 0
(y + 5)(y + 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 5) or (y + 7) must equal zero:
If (y + 5) = 0, y must equal -5
If (y + 7) = 0, y must equal -7
So the solution is that y = -5 or -7
The dimensions of this cube are height (h) = 9, length (l) = 6, and width (w) = 7. What is the volume?
| 378 | |
| 504 | |
| 150 | |
| 243 |
The volume of a cube is height x length x width:
v = h x l x w
v = 9 x 6 x 7
v = 378
For this diagram, the Pythagorean theorem states that b2 = ?
a2 - c2 |
|
c - a |
|
c2 - a2 |
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c2 + a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
Simplify (y - 7)(y + 2)
| y2 + 5y - 14 | |
| y2 + 9y + 14 | |
| y2 - 5y - 14 | |
| y2 - 9y + 14 |
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 - 7)(y + 2)
(y x y) + (y x 2) + (-7 x y) + (-7 x 2)
y2 + 2y - 7y - 14
y2 - 5y - 14