| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.24 |
| Score | 0% | 45% |
Find the value of b:
-8b + x = -3
-5b - 5x = -9
| \(\frac{3}{37}\) | |
| \(\frac{8}{15}\) | |
| 1\(\frac{5}{7}\) | |
| \(\frac{3}{26}\) |
You need to find the value of b so solve the first equation in terms of x:
-8b + x = -3
x = -3 + 8b
then substitute the result (-3 - -8b) into the second equation:
-5b - 5(-3 + 8b) = -9
-5b + (-5 x -3) + (-5 x 8b) = -9
-5b + 15 - 40b = -9
-5b - 40b = -9 - 15
-45b = -24
b = \( \frac{-24}{-45} \)
b = \(\frac{8}{15}\)
The formula for the area of a circle is which of the following?
c = π r |
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c = π d2 |
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c = π d |
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c = π r2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Solve for z:
z2 + 15z + 54 = 0
| -1 or -3 | |
| -2 or -3 | |
| 8 or 1 | |
| -6 or -9 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 + 15z + 54 = 0
(z + 6)(z + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 6) or (z + 9) must equal zero:
If (z + 6) = 0, z must equal -6
If (z + 9) = 0, z must equal -9
So the solution is that z = -6 or -9
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
π r2h2 |
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4π r2 |
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π r2h |
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 of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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the area of a parallelogram is base x height |
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opposite sides and adjacent angles are equal |
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).