Answer: a. 55
Step-by-step explanation:
The formula to find the geometeric mean between two numbers a and b is given by :-

The given numbers are : 275 and 11
The geometric mean of 275 and 11 is given by :-

Hence, the geometric mean of 275 and 11 is 55.
So , the correct option is a. 55 .
Answer:
The simplified expression is:

Step-by-step explanation:
Given the expression





Add similar elements




Thus, the simplified expression is:

Let
R = Ralph's age
S = Sara's age
First statement is translated as:
S = 3R
Second statement is translated as:
S + 4 = 2(R + 4)
Use the first equation to be substituted into the second one in terms of R which is the one we are actually going to solve for Ralph's age.
Since S = 3R, then
3R + 4 = 2(R + 4)
3R + 4 = 2R + 8
3R - 2R = 8 - 4
R = 4 years old
So, XZ= 7x+1 and PZ= 4x-1. To figure out XP we have to subtract those two.
(7x+1)-(4x-1)
3x-2
3(8)-2
24-2
22
XP=22