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Sergeu [11.5K]
3 years ago
15

If the point (1, 5) lies on a circle whose center is at the origin, what is the equation of the circle?

Mathematics
1 answer:
makkiz [27]3 years ago
3 0
In this case just change the variables by the numbers. (1,5)
x=1 y=5
1^2 + 5^2 = 26
1+25=26
26=26 *this one is the answer...
TRUE

x2 + y2 = 16
1^2 + 5^2=16
1+25=16
26=16
False

x2 + y2 = 13
1^2 + 5^2=13
1+25=13
26=13
False

x2 + y2 = 11
1^2 + 5^2=11
1+25=11
26=11
False

So we can say that the first one is the answer.
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A table of values can be used to represent variables that are directly proportional.

The complete table of proportions is:

\left[\begin{array}{ccccccccc}Letters&10&2&[150 ]&7&1&500&[420] \\Cost&0.45&0.90&6.75&[0.315]&[0.045 ]&[22.5 ] & 18.90\end{array}\right]

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\left[\begin{array}{ccccccccc}Letters&10&2&[\ ]&7&1&500&[\ ] \\Cost&0.45&0.90&6.75&[\ ]&[\ ]&[\ ] & 18.90\end{array}\right]

Let:

<em />L \to<em> Letters</em>

<em />C \to<em> Cost</em>

<em />

Using proportional reasoning, we have:

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<em />k \to<em> ratio of proportion</em>

For the first values of C and L, we have:

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<u>When C = 6.75, we have:</u>

C = 0.045L

6.75 = 0.045L

Solve for L

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<u>When L = 7, we have:</u>

C = 0.045L

C = 0.045 \times 7

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<u>When L = 1, we have:</u>

C = 0.045L

C = 0.045 \times 1

C = 0.045

<u>When L = 500, we have:</u>

C =0.045L\\

C =0.045 \times 500

C =22.5

<u>When C = 18.90, we have:</u>

C = 0.045L

18.90 = 0.045L

Solve for L

L=\frac{18.90}{0.045}

L=420

Hence, the complete table is:

\left[\begin{array}{ccccccccc}Letters&10&2&[150 ]&7&1&500&[420] \\Cost&0.45&0.90&6.75&[0.315]&[0.045 ]&[22.5 ] & 18.90\end{array}\right]

Read more about proportions at:

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