| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
If the length of AB equals the length of BD, point B __________ this line segment.
trisects |
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bisects |
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intersects |
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midpoints |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
Solve for y:
-9y + 2 = -4 + 5y
| 1\(\frac{3}{4}\) | |
| -5 | |
| -\(\frac{1}{9}\) | |
| \(\frac{3}{7}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
-9y + 2 = -4 + 5y
-9y = -4 + 5y - 2
-9y - 5y = -4 - 2
-14y = -6
y = \( \frac{-6}{-14} \)
y = \(\frac{3}{7}\)
The endpoints of this line segment are at (-2, 1) and (2, -1). What is the slope-intercept equation for this line?
| y = 2x + 4 | |
| y = 3x - 2 | |
| y = -\(\frac{1}{2}\)x + 0 | |
| y = 3x - 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 0. 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, 1) and (2, -1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (1.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)Plugging these values into the slope-intercept equation:
y = -\(\frac{1}{2}\)x + 0
What is 7a + 6a?
| 13a | |
| a2 | |
| 1 | |
| 13 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
7a + 6a = 13a
If angle a = 62° and angle b = 47° what is the length of angle c?
| 71° | |
| 94° | |
| 116° | |
| 114° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 62° - 47° = 71°