Answer: UW= 9√3
Step-by-step explanation:
This right triangle is a 30-60-90 triangle. This is a special triangle. Since this is a special triangle, the hypotenuse is 2x.
The hypotenuse is 18. We can figure out the length of x.
2x=18
x=9
Since we got 9, you would think it is the answer, but it's not. The length across the 60° angle is x√3. Now that we know the length across from 60°, we can plug in x.
9√3
We can check our answer by using Pythagorean Theorem.
9²+(9√3)²=18²
81+243=18²
324=324
Since they are equal, we know we have the right answer.
Answer:
Option B, 
Step-by-step explanation:
<u>Step 1: Simplify the exponent</u>



<u>Step 2: Simply the expression</u>



Answer: Option B, 
Answer:
Hence, the value of y is undefined.
Step-by-step explanation
from the property, log_a (b) = (log(a))/log(b).
The value log (-7) was not defined. So, the entire log value also not defined.
Hence, the value of y is undefined.
Answer:
Jake's error in step 3
Step-by-step explanation:
we have

Complete the square
step 1
Group terms that contain the same variable, and move the constant to the opposite side of the equation

step 2
Complete the square. Remember to balance the equation by adding the same constants to each side


step 3
Rewrite as perfect squares

Jake's error in step 3
He placed 6 instead of 3 in the left side
step 4
take square root both sides

step 5

step 6

step 7
x=5 and x=1