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Barbie is analyzing a circle, y2 + x2 = 16, and a linear function g(x). Will they intersect? g(x)- 6, 3, 0 X- 0, 1, 2

Barbie is analyzing a circle, y2 + x2 = 16, and a linear function g(x). Will they intersect? g(x)- 6, 3, 0 X- 0, 1, 2
asked 220k views
2 votes
Barbie is analyzing a circle, y2 + x2 = 16, and a linear function g(x). Will they intersect?

g(x)- 6, 3, 0
X- 0, 1, 2

Barbie is analyzing a circle, y2 + x2 = 16, and a linear function g(x). Will they-example-1
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User Jeremy Smith
by
8.8k points

2 Answers

4 votes

Answer:

yes, at positive x- coordianiates

Explanation:

Barbie is analyzing a circle, y2 + x2 = 16, and a linear function g(x). Will they-example-1
answered
User Kasheim
by
8.3k points
2 votes
The linear function has an equation
y = -3x + 6
The equation of the circle is
y2 + x2 = 16

Substituting
(-3x + 6)^2 + x^2 = 16
This quadratic equation has real solutions which mean that the line and the circle will intersect
answered
User Jpou
by
7.8k points
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