MATH SOLVE

4 months ago

Q:
# Nellie is analyzing a circle, y2 + x2 = 25, and a linear function g(x). Will they intersect? y2 + x2 = 25 g(x) graph of the function y squared plus x squared equals 25 x g(x) −7 −2 −6 −1 1 6

Accepted Solution

A:

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)

-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)