Does the point (2 3 , 2) lie on the circle that is centered at the origin and contains the point (0, -4)? why?

Evaluate the discriminant of each equation. tell how many solutions each equation has and whether the solutions are real or imaginary. x^2 - 4x - 5 = 0

100 points? me its important ‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️

Every weekday, mr. jones bikes from his home to his job. sometimes he rides along two roads, the long route that is shown by the solid lines. other times, he takes the shortcut shown by the dashed line. how many fewer kilometers does mr. jones bike when he takes the shortcut instead of the long route?