Answer: a=5
Step-by-step explanation: Use the pythagorean theorem and get
(a)^2+(12)^2=(13)^2
This would then be (a)^2+144=169
subtract 144 from both sides and get
(a)^2=25
Take the square root of both sides and you get a=5
Answer:
5625in²
Step-by-step explanation:
Area of the plate = πr²
625π = πr²
625 = r²
r = √625
r = 25in
If the radius of the plate is tripled, then the new radius will be 3(25) = 75in
New Area = π(75)²
New Area = 5625π in²
If the radius is tripled, the new area of the plate is 5625in²
The product of a complex number and its conjugate is always the magnitude of the number:

Since in your case
, you have

Answer:
7x
Step-by-step explanation:
You add the two numbers and bring over your variable.