The equation of a circle is x2+y2+8x−14y+56=0 .

what is the radius of the circle?

r = units

The main formula of a circle is (x-a)²+(y-b)²= r², where (a,b) is the center of the circle
x2+y2+8x−14y+56= x2+8x+y2−14y+56=(x+4)²-16+(y-7)²- 49+ 56=0
it means (x+4)²+(y-7)²- 9=0 and it implies  (x+4)²+(y-7)²=9
so r²=9, and finally  r =3

Im not that good with division but i think 5 is -6but dont quote me on thatim not the best in division but thats my answer

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c