Diana usually drives at average rate of 30 mph. b
Today she is going to drive to her friend Tony's house which is 12 miles away. How many minutes will it take her to get there?
PLUS:
Diana usually drives at average rate of 30 mph.
e
If Diana drives with the average rate x mph, how long would it take her to get to Tony's house?

Step-by-step explanation:

distance=speed ×time

12=30×t

t=12/30 hrs=12/30×60=24 minutes

e.

if  speed=x

12=xt

t=12/x hrs

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.