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Aliun [14]
3 years ago
9

Suppose that y varies directly as the square of x, and that y=567 when x=9. What is y when x=4

Mathematics
1 answer:
Gwar [14]3 years ago
6 0

Answer:

y  = 112

Step-by-step explanation:

If  y varies directly as the square of x

mathematically;

y ∝ x²

y = kx² where 'k' is the constant of proportionality

let u know the value of k for this equation by making k the subject of the formular from y = kx²

divide both sides by x²

k = y / x²

given that  y = 567 x = 9

k = 567/(9)²

k = 567/81

k = 7

now to get the value of  y when x = 4

from the equation conneting x, y,

y = kx²

y = 7 × (4)²

y = 7 × 16

y  = 112

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What is the relationship between area in the scale drawing and area on the on the actual tennis court if the scale is 1in.: 5ft.
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Given:

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Width of the scale = 7.2 in.

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To find:

The ratio of area of the actual court to the area of the drawing (as a unit rate).

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Step-by-step explanation:

We have,

1 in. = 5ft.

Now, using this scale we get

15.6 in. = (15.6 × 5) ft =78 ft.

7.2 in. = (7.2 × 5) ft = 36 ft.

So, the actual length and width of tennis court are 78 ft and 36 ft respectively.

Area of actual tennis court is

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Ratio of area is 25:1 and ratio of length is 5:1 both area not same.

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