The easiest way to solve this problem is by using the Pythagorean theorem :D
Pythagorean theorem: [-b +- sqrt(b^2 - 4ac)]/2a
5 = a
-1 = b
6 = c
therefore, by plugging these values in!
[-(-1) +- sqrt((-1)^2 - 4(5)(6))]/2(5)
[1 +- sqrt(1 - 120)]/10
Oh so we're using imaginary numbers, so in this case you'll need to know that i = sqrt(-1), so keep this in mind (I can see why this was so difficult)
[1 +- sqrt(119)*i]10
answers:
( 1 + i*sqrt(119) ) / 10
( 1 - i*sqrt(119) ) / 10
X= 32.5
You have to change the denominators (8 and 52) to be the same (52).
52/8=6.5
So 6.5 is your scale factor.
Simply multiply your numerator (5) by 6.5 to get 32.6
[|] Answer [|]
[|] Explanation [|]
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Convert Fractions To Mixed Numbers:
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Multiply Across:
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Simplify:
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Answer: P(26,5).
That is all the possible combinations of 5 letters made out from 26 letters.
That is 26! / [ 5! ( 26 - 5)! ] = 26! / [5! 21! ] = 26*25*24*23*22*21! / [ 5! 21!] =
= 26*25*24*23*22 / [5*4*3*2*1] = 65,780 arrangements.
Answer:
C
Step-by-step explanation:
Volume = bhd
Volume = (x + 3)(x + 8)(x²)
start with (x + 3) and (x + 8), factor:
x² + 8x + 3x + 24
x² + 11x + 24
now bring x² back:
(x² + 11x + 24)(x²)
x⁴ + 11x³ + 24x²
