15.) Which of the following points are 5 units from the point P(-2,-2) a Select ALL correct answers A(1,2) B(3,-2) C(-2,3) D(-6,-6) E(-5,2)

1. Calculate the distance formula<br /> Use the distance formula **$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$** to find the distance between each point and $P(-2,-2)$.<br /><br />2. Check distance for point A(1,2)<br /> $d = \sqrt{(1 - (-2))^2 + (2 - (-2))^2} = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5$<br /><br />3. Check distance for point B(3,-2)<br /> $d = \sqrt{(3 - (-2))^2 + (-2 - (-2))^2} = \sqrt{5^2 + 0^2} = \sqrt{25} = 5$<br /><br />4. Check distance for point C(-2,3)<br /> $d = \sqrt{(-2 - (-2))^2 + (3 - (-2))^2} = \sqrt{0^2 + 5^2} = \sqrt{25} = 5$<br /><br />5. Check distance for point D(-6,-6)<br /> $d = \sqrt{(-6 - (-2))^2 + (-6 - (-2))^2} = \sqrt{(-4)^2 + (-4)^2} = \sqrt{16 + 16} = \sqrt{32} \neq 5$<br /><br />6. Check distance for point E(-5,2)<br /> $d = \sqrt{(-5 - (-2))^2 + (2 - (-2))^2} = \sqrt{(-3)^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5$