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adell [148]
3 years ago
10

A line passes through the point (1, 5) and has a slope of -9.​

Mathematics
1 answer:
vladimir1956 [14]3 years ago
8 0

Answer:

y= -9x+14

Step-by-step explanation:

the equation of a straight line is y=mx+c


m is the slope

And we are given a y and x term

So we substitute these into the equation:


5= -9(1) + c


rearragne to find c


14= c


so the full equation is:


y= -9x+14

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If the product of two positive fractions a and b is 15/56, find three pairs of possible values for a and b
Andrews [41]

Answer:

First possible pairs = (3/7)*(5/8) = 15/56

second possible pairs = (3/4)*(5/14) = 15/56

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Step-by-step explanation:

According to the question,

a x b = 15/56

three possible pairs will be as follows:

Before proceeding to make possible pairs, we have to know the prime factorization of the numbers -

15 = 1, 3, 5, 15

56 = 1, 2, 4, 7, 8, 14, 28, 56

As we need three possible pairs, we have to check which pairs take us to 15/56. Again, since the fraction is positive, therefore, the fractions will be proper. Therefore, 3/2, or 5/4 will not be counted. Therefore,

First possible pairs = (3/7)*(5/8) = 15/56

second possible pairs = (3/4)*(5/14) = 15/56

third possible pairs = (1/2)*(15/28) = 15/56

fourth possible pairs = (3/8)*(5/7) = 15/56

So, we can get those four possible pairs. Among those, first 3 pairs are different. Therefore, those are possible pairs.

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What is x is greater than or equal -6
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Answer:

x ≥ -6

Step-by-step explanation:

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3 years ago
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