find an equation of the circle that satisfies the given conditions. (give your answer in terms of x and y.)
center
(4, −5)
and passes through
(7, 4)

Step-by-step explanation:

The equation of a circle of radius r, centered at the point (a,b) is

We already know the center is at , we are just missing the radius. To find the radius, we can use the fact that the circle passes through the point (7,4), and so the radius is just the distance from the center to this point (see attached image). So we find the distance by using distance formula between the points (7,4) and (4,-5):

radius

And now that we know the radius, we can write the equation of the circle:

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.