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3 years ago

Select the GCF of these numbers. 48 and 60

Mathematics

1 answer:

LekaFEV [45]3 years ago

4 0

Using Euclid's algorithm, the first number you check is their difference:

60 - 48 = 12

Since 12 divides both numbers evenly, that is your GCF.

_____

If the difference does not divide both numbers evenly, you can repeat the procedure with the difference and the remainder from dividing the smallest of the other numbers by the difference. For example, ...

GCF(60, 44) = GCF(44 mod 16, 16) = GCF(12, 16) = 4

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3 years ago

The line with equation a + 4b = 0 coincides with the terminal side of an angle θ in standard position and cos θ>0 . What is t

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3 years ago

Write the recursive rule and the iterative rule for the following sequence: 10, 6, 2, -2, -6

barxatty [35]

The recursive rule is
$a_n=a_{n-1}+(-4)$ .
The iterative rule is
$a_n=14-4n$

The recursive rule is given by the formula
$a_n=a_{n-1}+d$ , where d is the common difference. Our common difference is -4, which gives us the recursive rule above.

The iterative rule begins with the formula
$a_n=a_1+d(n-1)$ , where a₁ is the first term and d is the common difference. Our first term is 10 and our common difference is -4:
$a_n=10+(-4)(n-1)
\\\text{Using the Distributive Property,}
\\
\\a_n=10+(-4*n)+(-4*-1)
\\
\\a_n=10-4n+4
\\
\\\text{Combining like terms,}
\\
\\a_n=14-4n$

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3 years ago