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HELP PLEASE

Which of the following would be the positive x-coordinate where the line y = x+2 intersects the circle
x² + y² = 13?

HELP PLEASE Which of the following would be the positive xcoordinate where the line y x2 intersects the circle x y 13 class=

Respuesta :

22ryinger

Answer:

The answer is 1.35 answer (1). You can graph both equations to give you the answer.

Step-by-step explanation:

Graph the equations and see where they intersect.

Answer:

x = 1.35

Step-by-step explanation:

Circle equation is x^2 + y^2 = 13.

Plug y = x + 2 in the circle equation:

x^2 + (x + 2)^2 = 13

x^2 + x^2 + 4x + 4 = 13

2x^2 + 4x - 9 = 0

x = [-4 +/- sqrt(4^2 - 4*2*-9) ] / 2*2

= -1 +/- [sqrt(88 )] / 4

= -3.35. 1.35

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