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Nezavi [6.7K]
2 years ago
12

There is `1/12 foot in one inch. Does the graph show the relationship between feet and inches?

Mathematics
1 answer:
KiRa [710]2 years ago
5 0

Answer:

Yes

Step-by-step explanation:

Given that there is ¹/12 foot in 1 inch, this can be interpreted as being the constant of proportionality for the relationship between feet and inches. This means, for the graph to be said to represent this relationship, the constant of proportionality, which is y/x must be ¹/12.

How do we know this? Check this out using the four points given on the graph.

(12, 1) => y/x = ¹/12

(24, 2) => y/x = ²/24 = ¹/12

(36, 3) => y/x = ³/36 = ¹/12

(48, 4) => y/x = ⁴/48 = ¹/12

As we can see, the graph represents the shows a relationship between feet and inches.

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Step-by-step explanation:

Factor the following:

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The coefficient of x^2 is 49 and the coefficient of y^2 is 36. The product of 49 and 36 is 1764. The factors of 1764 which sum to 84 are 42 and 42. So 49 x^2 + 84 x y + 36 y^2 = 49 x^2 + 42 x y + 42 x y + 36 y^2 = 7 x (7 x + 6 y) + 6 y (7 x + 6 y):

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