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Nellie is analyzing a circle, y2 + x2 = 25, and a linear function g(x) Will they intersect?

User Crimbo
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1 Answer

7 votes

Answer:

4.0/5

16

The linear function is given by the following table:

-7 -2

-6 -1

1 6

The equation of the line is:

y = x + 5

The equation of the circle is:

y2 + x2 = 25

Therefore we have the following system of equations:

y2 + x2 = 25

y = x + 5

The solution is:

x = -5, y = 0

x = 0, y = 5

Therefore, the line and the circle intersect at two points:

(-5, 0)

(0, 5)

Answer:

they will intersect at:

(-5, 0)

(0, 5)

User FreeKrishna
by
6.9k points