3 years ago

Which ordered pair is a solution of the equation 4x-2y=16?

Mathematics

1 answer:

Lisa [10]3 years ago

5 0

Substitute the coordinates of points to the equation.

$4x-2y=16$

$A.\ (-5,\ -3)\\\\4(-5)-2(-3)=16\\-20+6=16\\-14=16\ \ \ FALSE\\\\B.\ (-5,\ 3)\\\\4(-5)-2(3)=16\\-20-6=16\\-26=16\ \ \ FALSE\\\\C.\ (6,\ -4)\\\\4(6)-2(-4)=16\\24+8=16\\32=16\ \ \ \ FALSE\\\\D.\ (6,\ 4)\\\\4(6)-2(4)=16\\24-8=16\\16=16\ \ \ \ CORRECT\\\\Answer:\ \boxed{D.\ (6,\ 4)}$

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The least common multiple of two numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers?

storchak [24]

Step One - List the factors of 60.
Step Two - Locate the factors that are seven apart from each other.

Factors of 60:
1 × 60
2 × 30
3 × 20
4 × 15
5 × 12
6 × 10

60 - 1 = 59
30 - 2 = 28
20 - 3 = 17
15 - 4 = 11
12 - 5 = 7
10 - 6 = 4

5 is 7 less than 12, and 60 is their least common multiple.

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