| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
If AD = 21 and BD = 19, AB = ?
| 7 | |
| 12 | |
| 2 | |
| 20 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDSimplify (2a)(6ab) + (7a2)(7b).
| 112a2b | |
| 112ab2 | |
| 61a2b | |
| 61ab2 |
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.
(2a)(6ab) + (7a2)(7b)
(2 x 6)(a x a x b) + (7 x 7)(a2 x b)
(12)(a1+1 x b) + (49)(a2b)
12a2b + 49a2b
61a2b
Which of the following statements about a parallelogram is not true?
the area of a parallelogram is base x height |
|
opposite sides and adjacent angles are equal |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
|
a parallelogram is a quadrilateral |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
Solve for z:
z2 - 15z + 34 = -3z + 2
| 8 or -2 | |
| -7 or -9 | |
| 4 or 8 | |
| -2 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:
z2 - 15z + 34 = -3z + 2
z2 - 15z + 34 - 2 = -3z
z2 - 15z + 3z + 32 = 0
z2 - 12z + 32 = 0
Next, factor the quadratic equation:
z2 - 12z + 32 = 0
(z - 4)(z - 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 4) or (z - 8) must equal zero:
If (z - 4) = 0, z must equal 4
If (z - 8) = 0, z must equal 8
So the solution is that z = 4 or 8
If a = c = 7, b = d = 2, and the blue angle = 54°, what is the area of this parallelogram?
| 54 | |
| 32 | |
| 14 | |
| 40 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 7 x 2
a = 14