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VMariaS [17]
3 years ago
5

(15 POINTS!)

Mathematics
1 answer:
inessss [21]3 years ago
4 0

Answer:

1) 5/7

2) (21, 5)

Step-by-step explanation:

1) The slope of the line passing through the points (7, 5) and (21, 15) is

\frac{15-5}{21-7} =\frac{10}{14}=\frac{5}{7}

because slope is (difference of y)/(difference of x)

the first option is correct

2) 1/3 of 5/7 is 5/21.

The line will be in the form of

y = 5/21 x + b where b is the y-intercept.

Find the complete equation by plugging in (0,0) since it passes thorugh the origin.

0 = 5/21 (0) +b

0=0+b

b=0

The equation: y=5/21 x

let's check each option by plugging in.

y= 5/21 (3)= 5/7

y is not 5 but 5/7

y= 5/21 (3)= 5/7

y is not 7 but 5/7

y= 5/21 (21) = 5

y is 5, which matches with the answer choice!!!

y= 5/21 (21) = 5

y is 5, not 7.

The third option is correct

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Hello from MrBillDoesMath!

Answer:

z = 28 (y/x)

Discussion:

" z varies inversely with x and directly with y"  translates into

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Substituting x = 2, y = 3, z = 42  in (*) gives

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28 = k

Conclusion:

z = 28 (y/x)

 

Thank you,

MrB

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