| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.08 |
| Score | 0% | 62% |
Find the value of c:
4c + x = -6
9c + 3x = -8
| -\(\frac{5}{7}\) | |
| -3\(\frac{1}{3}\) | |
| \(\frac{1}{4}\) | |
| -2\(\frac{1}{4}\) |
You need to find the value of c so solve the first equation in terms of x:
4c + x = -6
x = -6 - 4c
then substitute the result (-6 - 4c) into the second equation:
9c + 3(-6 - 4c) = -8
9c + (3 x -6) + (3 x -4c) = -8
9c - 18 - 12c = -8
9c - 12c = -8 + 18
-3c = 10
c = \( \frac{10}{-3} \)
c = -3\(\frac{1}{3}\)
If side a = 6, side b = 2, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{10} \) | |
| \( \sqrt{65} \) | |
| \( \sqrt{40} \) | |
| \( \sqrt{82} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 62 + 22
c2 = 36 + 4
c2 = 40
c = \( \sqrt{40} \)
If BD = 5 and AD = 11, AB = ?
| 16 | |
| 14 | |
| 6 | |
| 1 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDIf the length of AB equals the length of BD, point B __________ this line segment.
midpoints |
|
intersects |
|
bisects |
|
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.
What is 8a - 8a?
| a2 | |
| 0a | |
| 16 | |
| 64a |
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.
8a - 8a = 0a