| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.88 |
| Score | 0% | 58% |
The endpoints of this line segment are at (-2, 2) and (2, -10). What is the slope-intercept equation for this line?
| y = -\(\frac{1}{2}\)x - 4 | |
| y = \(\frac{1}{2}\)x + 3 | |
| y = -3x - 4 | |
| y = -3x + 1 |
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, 2) and (2, -10) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-10.0) - (2.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)Plugging these values into the slope-intercept equation:
y = -3x - 4
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
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quadrilateral |
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triangle |
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rhombus |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
If AD = 21 and BD = 15, AB = ?
| 16 | |
| 19 | |
| 13 | |
| 6 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDIf c = -9 and z = -4, what is the value of 9c(c - z)?
| -455 | |
| 35 | |
| 405 | |
| -546 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
9c(c - z)
9(-9)(-9 + 4)
9(-9)(-5)
(-81)(-5)
405
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.