| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
The endpoints of this line segment are at (-2, -5) and (2, -3). What is the slope-intercept equation for this line?
| y = -x + 3 | |
| y = -3x + 0 | |
| y = -2\(\frac{1}{2}\)x - 3 | |
| y = \(\frac{1}{2}\)x - 4 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -4. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -5) and (2, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (-5.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)Plugging these values into the slope-intercept equation:
y = \(\frac{1}{2}\)x - 4
The dimensions of this cube are height (h) = 7, length (l) = 1, and width (w) = 9. What is the surface area?
| 14 | |
| 158 | |
| 258 | |
| 30 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 1 x 9) + (2 x 9 x 7) + (2 x 1 x 7)
sa = (18) + (126) + (14)
sa = 158
The formula for the area of a circle is which of the following?
a = π d |
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a = π r |
|
a = π d2 |
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a = 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.
If side x = 8cm, side y = 8cm, and side z = 8cm what is the perimeter of this triangle?
| 25cm | |
| 20cm | |
| 24cm | |
| 42cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 8cm + 8cm + 8cm = 24cm
Which of the following statements about a parallelogram is not true?
opposite sides and adjacent angles are equal |
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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 |
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).