<u>Answer</u>
9+√14
<u>Explanation</u>
To Rationalize the denominator of 5-√7/9-√14.
To rationalize this we multiply both the denominator and denominator by the conjugate of the denominator.
The denominator is 9-√14 and its conjugate is (9+√14).
(5-√7)/(9-√14) = (5-√7)(9+√14)/(9-√14)(9+√14)
= (5-√7)(9+√14)/(9²-14)
= (45 + 5√14 - 9√7 - √98)/(81-14)
= (45 + 5√14 - 9√7 - √98)/67
= (45 + 5√14 - 9√7 - 7√2)67
This is the rationalized expression.
The denominator is (9-√14) and its conjugate is (9+√14).
Answer:
rational
Step-by-step explanation:
Answer:
V≈434.89
Step-by-step explanation:
V=4/3πr^3
plug the numbers in and you get 434.89
Answer:
-1>x
Step-by-step explanation:
-5x - 15 > 10 + 20x
Add 5x to each side
-5x+5x - 15 > 10 + 20x+5x
-15> 10+25x
Subtract 10 from each side
-10 - 15 > 10-10 + 25x
-25> 25x
Divide each side by 25
-25/25> 25x/25
-1>x
Answer:
x=25
Step-by-step explanation:
(2x+15) + X. 25 times 2 =50+15= 65+25= 90