| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
Breaking apart a quadratic expression into a pair of binomials is called:
factoring |
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deconstructing |
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normalizing |
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squaring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
If angle a = 32° and angle b = 51° what is the length of angle d?
| 149° | |
| 143° | |
| 148° | |
| 139° |
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° - 32° - 51° = 97°
So, d° = 51° + 97° = 148°
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° - 32° = 148°
If the length of AB equals the length of BD, point B __________ this line segment.
intersects |
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bisects |
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midpoints |
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trisects |
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.
Find the value of b:
-6b + y = -4
-8b + 7y = 7
| 1\(\frac{5}{8}\) | |
| -\(\frac{23}{33}\) | |
| 1\(\frac{1}{34}\) | |
| -1\(\frac{1}{31}\) |
You need to find the value of b so solve the first equation in terms of y:
-6b + y = -4
y = -4 + 6b
then substitute the result (-4 - -6b) into the second equation:
-8b + 7(-4 + 6b) = 7
-8b + (7 x -4) + (7 x 6b) = 7
-8b - 28 + 42b = 7
-8b + 42b = 7 + 28
34b = 35
b = \( \frac{35}{34} \)
b = 1\(\frac{1}{34}\)
If a = c = 7, b = d = 4, what is the area of this rectangle?
| 12 | |
| 28 | |
| 10 | |
| 32 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 7 x 4
a = 28