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vfiekz [6]
3 years ago
15

When you make the circle bigger or smaller, which number of the standard equation for the circle centered at the origin changes?

Mathematics
2 answers:
Len [333]3 years ago
6 0
I think the correct answer from the choices listed above is option C. <span>When you make the circle bigger or smaller, it is the radius of the standard equation for the circle centered at the origin changes. Hope this answers the question. Have a nice day.</span>
Artist 52 [7]3 years ago
3 0

Answer:

Option (C) is correct,

when we make the circle bigger or smaller we will change its radius.

Step-by-step explanation:

 A circle with standard equation,  (x-h)^2 + (y-k)^2 = r^2 where (h, k) is the center and "r"  being the radius.

We have to determine out of given options which number of the standard equation for the circle centered at the origin changes when you make the circle bigger or smaller.

Given :  Circle centered at the origin then (h , k ) becomes (0, 0)

Thus, equation of circle becomes,

(x-h)^2 + (y-k)^2 = r^2

Substitute h = 0  and  k = 0  , we get,

\Rightarrow (x-0)^2 + (y-0)^2 = r^2

 \Rightarrow x^2 + y^2 = r^2

Since, x and y coordinates depends on radius.

Thus when we make the circle bigger or smaller we will change its radius.

Thus, option (C) is correct,


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neonofarm [45]

The question is incomplete.

Complete Question

Correct 36.2598 to

a) to one decimal place.

b) To the nearest hundredth.

c) to nearest 0.001

d) to the nearest whole number

Answer:

a) to one decimal place = 36.3

b) To the nearest hundredth= 36.26

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Step-by-step explanation:

From the question, we are to round up 36.2598 to the following:

a) to one decimal place.

Rounding up 36.2598 to one decimal place means we are looking at the first number after the decimal which is 2. The number after it is 5, so we are adding one to 2. Hence,

36.2598 to one decimal place = 36.3

b) To the nearest hundredth:

Rounding up 36.2598 to the nearest hundredth means we are rounding up to 2 decimal places. This means we are looking at the second number after the decimal which is 5. The number after it is 9, which is higher than 5 so we are adding one to 5. Therefore,

36.2598 to the nearest hundredth = 36.26.

c) to nearest 0.001

Rounding up 36.2598 to the nearest 0.001 means we are rounding up to the nearest thousandth which is 3 decimal places.

This means we are looking at the third number after the decimal which is 9. The number after it is 8, which is higher than 5 so we are adding one to 9.

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36.2598 to the nearest 0.001 = 36.260

d) to the nearest whole number

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For our question, the number after the decimal is 2, it is less than 5 so 6 remains unchanged.

36.2598 to the nearest whole number = 36.

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