First square both sides to get:
c + 22 = (c + 2)^2
or
c + 22 = c^2 + 4c + 4
Move the terms on the left side to the right side:
c^2 + 3c - 18 = 0
Factor to get:
(c + 6) * (c - 3) = 0.
The solutions are c = -6 and c = 3.
Check to see if these answers work by plugging them into the original equation:
c = -6:
sqrt (-6 + 22) ?= -6 + 2
But, -6 + 2 is a negative number, and you can't get a negative from a square root. So, -6 is extraneous.
c = 3:
sqrt (3 + 22) ?= 3 + 2
5 = 5. So, 3 works.
The answer is: B
Answer:
The engine size would be 3.0 litre
Step-by-step explanation:
The given parameters are;
Volume of engine = 2.0 litre
Number of cylinders = 4
Capacity of each cylinder = 500 cc
Therefore, when 2 more 500 cc cylinders are added, the size of the engine which is the total volume of combustion gases that can be handled by the cylinders of the engine becomes;
Engine size = Total volume of engine cylinders
New engine size = (4 + 2)×500 cc = 3000 cc = 3.0 litre.
Ok, thanks for your support, You're amazing!!!!! :)
Answer:
A. I only
Step-by-step explanation:
We need to start off by <u>taking perfect squares out of these square roots.</u>
Begin with the numerator. It looks like we can take 4 out of the radical:
<u />
Now we have
Looks like those 
s can cancel!
= 2
Plug those answers into your calculator. II and III don't equal 2, but I does. This makes sense when we consider the rule that if you're dividing two radicals, you can just pull the radical over the whole expression!
The answer is <u>A. I only.</u>
