| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.05 |
| Score | 0% | 61% |
If BD = 11 and AD = 16, AB = ?
| 5 | |
| 20 | |
| 10 | |
| 13 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BD
The endpoints of this line segment are at (-2, 1) and (2, 3). What is the slope-intercept equation for this line?
| y = \(\frac{1}{2}\)x + 2 | |
| y = 3x + 3 | |
| y = -2\(\frac{1}{2}\)x - 3 | |
| y = 2x - 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 2. 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, 3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (1.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)Plugging these values into the slope-intercept equation:
y = \(\frac{1}{2}\)x + 2
If angle a = 59° and angle b = 53° what is the length of angle d?
| 121° | |
| 140° | |
| 110° | |
| 141° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 59° - 53° = 68°
So, d° = 53° + 68° = 121°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 59° = 121°
On this circle, line segment CD is the:
circumference |
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chord |
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diameter |
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radius |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
Simplify 3a x 5b.
| 8ab | |
| 15a2b2 | |
| 15ab | |
| 15\( \frac{b}{a} \) |
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.
3a x 5b = (3 x 5) (a x b) = 15ab