To simplify the fraction, we need to rationalize the denominator by multiplying the numerator and denominator by the conjugate.
The conjugate is the same thing as the denominator with a plus sign instead of a minus sign.
(sqrt(2) + start(5))^2/((sqrt(2) - start(5))(sqrt(2) + start(5)))
FOIL the top and bottom.
The answer is -(7+2sqrt(10))/3
Step-by-step explanation:
f(3)=2(3)+1
6+1
7
answer is 7
Answer:
The 3x-7
Step-by-step explanation:
Answer:
Step-by-step explanation:
We can use the Pythagorean Theorem:
The two legs are x and (x + 14) and the hypotenuse is (x + 16). Therefore:
Expand:
Combine like terms:
Subtract the right from the left:
Subtract:
Factor:
Zero Product Property:
Solve:
The x cannot be negative since a side cannot measure -4. So, our only answer is:
So, the legs are 10 and 24 with the hypotenuse being 26.