Write the coordinates of the point C after dilation with scale factor of 5, centered at the orgin

Coordinates of point C after dilation with a scale factor of 5, centered at the origin will be: C'(10, 5)

Step-by-step explanation:

Given the point C

A dilation with a scale factor of 5 means the size of the coordinates of the image of point P will be 5 times larger than than the original coordinates of point C.

Thus, the rule of dilation by a scale factor 5 is:

(x, y)  →  (5x, 5y)

C(2, 1)  →  (5x, 5y) = (5(2), 5(1)) = C'(10, 5)

Therefore, coordinates of the point C after dilation with a scale factor of 5, centered at the origin will be: C'(10, 5)

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.