An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 6.34 cents per
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The center of the dilation is the origin, and the scale factor is 2.
To find the coordinates of the points under this transformation, it is enough to multiply both coordinates of the points X, Y, and Z by 2.
Take a look at the dilation of point Z. To get to Z', both the x and y coordinate of Z must be multiplied by 2.
So, the coordinates are:
X'(8, 0); Y'(6, 4); Z'(4, -4).
To find the coordinates of the points under this transformation, it is enough to multiply both coordinates of the points X, Y, and Z by 2.
Take a look at the dilation of point Z. To get to Z', both the x and y coordinate of Z must be multiplied by 2.
So, the coordinates are:
X'(8, 0); Y'(6, 4); Z'(4, -4).
Average speed =
Ishan's Speed uphill = 10mph
Time taken = 18 minutes = 18/60 = 3/10 hours
Now distance = rate × time
Distance traveled by Ishaan up hill = 10 × 3/10 = 3 miles
Now returning back home
Distance = 3 miles
Rate = 30 mph
So time taken = distance/ rate = 3/30= 1/10 hours = 1/10 ×60 = 6 minutes.
Now total distance traveled = 3 + 3 = 6 miles
Total time taken = 18 + 6 = 24 minutes = 24/60 = 2/5 hours
Average speed
=
= 15 mph
Ishaan's average speed for the entire trip from home to the gift store and back is 15mph