Remember the properties of logarithms. If you have ln81, you can pull out the power of two (9^2) and have 2ln9. Also, you could do ln9 + ln9 because 9*9=81 and ln9*9 = ln9 + ln9
With these properties, you can get 3lnx+2lny, which is 3u+2v according to the answer.
Hope I helped!
Let's say you have the equation
5x + 3y = 11
You are asked to test the ordered pair (1, 2) to see if it is a solution of the equation. A solution of the equation will make the equation a true statement. The ordered pair (1, 2) has 1 as its x-coordinate and 2 as its y-coordinate.
Substitute 1 for x and 2 for y in the equation. Then work it out to see if it is a true statement.
5x + 3y = 11
5(1) + 3(2) = 11
5 + 6 = 11
11 = 11
Since 11 = 11 is a true statement, the ordered pair (1, 3) is a solution of the equation.
Answer:
Yes
Step-by-step explanation:
As long as any two numbers added are greater than the number not chosen they can make a triangle
2+7= 9 9 is greater than 8
8+2= 10 10 is greater than 7
7+8= 15 . 15 is greater than 2
Answer:
x≤-3 1/2 or x>1
Step-by-step explanation:
The way we solve this is we simply rearrange the equation using algebra.
Step 1) For the first inequality, subtract 1/2 from both sides. This gets x by itself and turns the RHS into -3 1/2.
Step 2) For the second, add 3 to both sides. Once again, x is by itself, and the RHS is equal to 1.
Answer:
16.852
Step-by-step explanation:
All side lengths are the same in an octagon. What you do is take the diamater and multiply it by 0.383. Diamater is the radius doubled.