| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.05 |
| Score | 0% | 61% |
The endpoints of this line segment are at (-2, 5) and (2, -1). What is the slope of this line?
| 3 | |
| -2 | |
| -1\(\frac{1}{2}\) | |
| 1\(\frac{1}{2}\) |
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, 5) and (2, -1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (5.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)What is 8a8 + 6a8?
| a816 | |
| 14 | |
| 14a16 | |
| 14a8 |
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.
8a8 + 6a8 = 14a8
Simplify (2a)(7ab) + (5a2)(5b).
| 90a2b | |
| 11a2b | |
| 39a2b | |
| -11ab2 |
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.
(2a)(7ab) + (5a2)(5b)
(2 x 7)(a x a x b) + (5 x 5)(a2 x b)
(14)(a1+1 x b) + (25)(a2b)
14a2b + 25a2b
39a2b
What is the circumference of a circle with a diameter of 1?
| 19π | |
| 14π | |
| 36π | |
| 1π |
The formula for circumference is circle diameter x π:
c = πd
c = 1π
For this diagram, the Pythagorean theorem states that b2 = ?
c2 + a2 |
|
a2 - c2 |
|
c - a |
|
c2 - a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)