The preimage was shifted to the image by a translation 2 units right and 2 units up, so the answer is
Answer:
29
Step-by-step explanation:
Simplify the expression step by step:
1.
2.
Now,
Answer:
Step-by-step explanation:
The equation for a circle is , where is the vertex of the circle and is the radius. Immediately, since the center of the circle is given, we know what and are. is 230 and is 220.
The only thing we need to find is the radius, which will just be the distance from the center (230,220) to a point on the circumference (170,170). The distance between them can be calculated using the <u>distance formula</u>, which is really just the <u>Pythagorean Theorem</u> rearranged. The formula states that , where is the change in the x-coordinates of the two points and is the change in the y-coordinates of the two points. Plug-in for 60 and for 50 to get . Solve for , arriving at . Therefore, the radius of the circle is .
Finally, we have all of the components to create the equation of the circle. Plug-in 230 for , 220 for , and for .
The equation of the circle will be .
Hope this helps :)