For simplifying radicals, remember the product rule of radicals: √ab = √a x √b . This radical is simplified as such:
√72 = √9 x √8 = 3 x √4 x √2 = 3 x 2 x √2 = 6√2
In short, the simplified radical of √72 is 6√2.
Answer:
KF = 35
Step-by-step explanation:
Since it's a line with K in the middle, we know that the distance SF is the same as SK + KF.
(Start at S, first go to K, then continue to F. You've traveled the same distance as from S to F.)
SF = SK + KF
Let's put in the values we got.
5x + 2 = 27 + (3x -1)
Opening the parenthesis.
5x + 2 = 27 + 3x - 1
5x + 2 = 26 + 3x
Now let's subtract 3x from both sides.
2x + 2 = 26
Now, subtract 2 from both sides.
2x = 24
If we divide by 2...
x = 12
We know that...
KF = 3x -1
Since x is 12, let's put that in.
KF = 3 * 12 - 1 = 36 - 1 = 35
Answer: KF is 35 !
Given:
kth term of a sequence is
To find:
The next term 
when k is even.
Solution:
We have,
Put k=k+1, to get the next term.
If k is even, then k+1 must be odd and odd power of -1 gives -1.
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Therefore, the next term is .
Answer:(a² - 4b² - 9)(a² - 4b² + 9)
(a^4 - 8a²b² + 16b^4) - 81
= [(a²)² - 2.4a²b² + (4b²)²] - 9²
= (a² - 4b²)² - 9²
= (a² - 4b² - 9)(a² - 4b² + 9)
Step-by-step explanation:
Y = 2/3x + 3 is the answer
