What is the graph of the given equation (x+8)^2+(y-1)^2=9

The graph of the circle in the attached figure

Step-by-step explanation:

we know that

the equation of the circle in center radius form is equal to

where

(h,k) is the center of the circle

r is the radius of the circle

In this problem we have

the center of the circle is

the radius of the circle is equal to

see the attached figure

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation: