| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.55 |
| Score | 0% | 71% |
If side a = 5, side b = 1, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{52} \) | |
| \( \sqrt{45} \) | |
| \( \sqrt{82} \) | |
| \( \sqrt{26} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 52 + 12
c2 = 25 + 1
c2 = 26
c = \( \sqrt{26} \)
The endpoints of this line segment are at (-2, 3) and (2, -3). What is the slope of this line?
| -1\(\frac{1}{2}\) | |
| 2 | |
| \(\frac{1}{2}\) | |
| -\(\frac{1}{2}\) |
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, 3) and (2, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (3.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)If AD = 29 and BD = 23, AB = ?
| 1 | |
| 7 | |
| 14 | |
| 6 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDWhich of the following is not a part of PEMDAS, the acronym for math order of operations?
addition |
|
pairs |
|
division |
|
exponents |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
What is 9a9 + 8a9?
| 72a9 | |
| 72a18 | |
| 17a9 | |
| 17 |
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.
9a9 + 8a9 = 17a9