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A circle is graphed. Which of the following represents all solutions
(x,y) to the system of equations created by the equation of this graph and the linear equation
x-y=3 ?
Choose 1 answer:
(A)
(-3,0) and
(-5,-3)
(B)
(3,0) and
(5,-3)
(C)
(-3,0) and
(4,-7)
(D)
(3,0) and
(-4,-7)

A circle is graphed. Which of the following represents all solutions $(x, y)$ to the system of equations created by the equation of this graph and the linear equation $x-y=3$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $(-3,0)$ and $(-5,-3)$ $\newline$ (B) $(3,0)$ and $(5,-3)$ $\newline$ (C) $(-3,0)$ and $(4,-7)$ $\newline$ (D) $(3,0)$ and $(-4,-7)$

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Write a quadratic function from its x-intercepts and another point

Full solution

Q. A circle is graphed. Which of the following represents all solutions

(x, y)

to the system of equations created by the equation of this graph and the linear equation

x-y=3

?

\newline

Choose

1

answer:

\newline

(A)

(-3,0)

and

(-5,-3)

\newline

(B)

(3,0)

and

(5,-3)

\newline

(C)

(-3,0)

and

(4,-7)

\newline

(D)

(3,0)

and

(-4,-7)

Rearrange linear equation: Rearrange the linear equation to $y = x - 3$ to find the $y$ -coordinate for a given $x$ -coordinate.
Substitute into circle equation: Substitute $y = x - 3$ into the circle's equation. Since the circle's equation isn't given, assume it's a standard circle equation $(x - h)^2 + (y - k)^2 = r^2$ , where $(h, k)$ is the center and $r$ is the radius. We need to know the circle's equation to proceed.

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