Question

Describe the graph that is produced by the equation (x - 7)2 + (y + 5)2 > 25.
The conic represented by the equation is a(n)
The solution set is
v include the boundary.

Answer 1

The conic section which is represented by the equation is a circle. The solution set of this equation are (7.0),(2.-5),(7.-10),(12.-5).

What is the equation of circle?

The equation of the circle is the equation which is used to represent the circle in the algebraic equation form, with the value of center point in the coordinate plane and measure of radius.

The standard form of the equation of the circle can be given as,

$(x-h)^2+(y-k)^2=r^2$

Here (h,k) is the center of the circle and (r) is the radius of the circle.

The given inequality equation is,  

$(x - 7)^2 + (y + 5)^2 > 25\\(x - 7)^2 + (y + 5)^2 > 5^2$

This equation is similar to the equation of circle. Thus, the conic represented by the equation is a circle. The center and radius of this circle is,

$(h,k)=(7,-5)\\r=5$

The solution set of this circle is the all the point which lies on this circle. In the attached graph, the solution set is shown which are (7.0),(2.-5),(7.-10),(12.-5).

Thus, the conic section which is represented by the equation is a circle. The solution set of this equation are (7.0),(2.-5),(7.-10),(12.-5).

Learn more about the equation of circle here;

https://brainly.com/question/1506955

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Answer 2

Answer:

A circle with a center (7,–5) and d unbounded and does not

Step-by-step explanation:

The conic represented by the equation is a(n)

✔ circle with a center (7,–5)

.

The solution set is

✔ unbounded and does not

include the boundary.