| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.85 |
| Score | 0% | 57% |
If side a = 7, side b = 1, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{17} \) | |
| \( \sqrt{72} \) | |
| \( \sqrt{50} \) | |
| \( \sqrt{85} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 72 + 12
c2 = 49 + 1
c2 = 50
c = \( \sqrt{50} \)
The endpoints of this line segment are at (-2, -1) and (2, -3). What is the slope of this line?
| -3 | |
| -2\(\frac{1}{2}\) | |
| -\(\frac{1}{2}\) | |
| 2\(\frac{1}{2}\) |
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 = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)Find the value of b:
6b + x = 7
b + 6x = -6
| 1\(\frac{5}{26}\) | |
| -1\(\frac{5}{11}\) | |
| 4\(\frac{1}{3}\) | |
| 1\(\frac{13}{35}\) |
You need to find the value of b so solve the first equation in terms of x:
6b + x = 7
x = 7 - 6b
then substitute the result (7 - 6b) into the second equation:
b + 6(7 - 6b) = -6
b + (6 x 7) + (6 x -6b) = -6
b + 42 - 36b = -6
b - 36b = -6 - 42
-35b = -48
b = \( \frac{-48}{-35} \)
b = 1\(\frac{13}{35}\)
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Last |
|
Odd |
|
First |
|
Inside |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.
Solve for c:
-7c + 5 = \( \frac{c}{9} \)
| -2 | |
| \(\frac{45}{64}\) | |
| -1\(\frac{1}{3}\) | |
| -\(\frac{10}{41}\) |
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.
-7c + 5 = \( \frac{c}{9} \)
9 x (-7c + 5) = c
(9 x -7c) + (9 x 5) = c
-63c + 45 = c
-63c + 45 - c = 0
-63c - c = -45
-64c = -45
c = \( \frac{-45}{-64} \)
c = \(\frac{45}{64}\)