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Roman55 [17]
3 years ago
14

Find the GCF of 60 and 75 using prime factorizations.

Mathematics
1 answer:
vichka [17]3 years ago
8 0

Answer:

GCF = 15

Step-by-step explanation:

prime factorization of 60

60 = 2 × 2 × 3 × 5

prime factorization of 75

75 = 3 × 5 × 5

To find the GCF, multiply all the prime factors common to both numbers:

GCF = 3 × 5

GCF = 15

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Answer: {(0, 2), (1, 4), (2, 6), (3, 6)}

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3 years ago
The product of two numbers is 41. One of the numbers
shepuryov [24]
<h3>Answer:   5 - 4i     (choice A)</h3>

===================================================

Work Shown:

x = the other number

(5+4i)*x = 41

x = 41/(5+4i)

x = 41*(5-4i)/( (5+4i)*(5-4i) ) ..... see note below

x = 41*(5-4i)/( 41 )

x = (41/41)*(5-4i)

x = 5 - 4i  

As a way to check, (5+4i)*(5-4i) = 5^2+4^2 = 25+16 = 41

The rule used is (a-bi)(a+bi) = a^2 + b^2

-----------

Note:  I multiplied top and bottom by (5-4i) to get rid of the imaginary term in the denominator.

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Read 2 more answers
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