Which of the following is the equation of a circle with center (5, - 2) and a radius of 3? a.(x-5)^2+(y+2)^2=9 b.(x+5)^2+(y-2)^2=9 c.(x-5)^2+(y+2)^2=3 d.(x+5)^2+(y-2)^2=3

option a

Step-by-step explanation:

we know  the equation of a circle is:

(x-x1)^2 +(y-y2)^2= r^2

center= (x1,y2)

radius =r

in this case we have:

center= (5,-2)

r=3

so we have:

(x-5)^2 +(y-(-2))^2=9

finally we have:

(x-5)^2 +(y+2)^2=9

-18 degrees is the answer : )

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c