A translation occurred that moved 4 units left and 3 units up. If Point A was at ( -3, -2 ), what are the coordinates of A'?
1 answer:
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Since the problem is requesting the answer in minutes, we are going to convert the speed of Mr. Peter to miles per minutes; to do that, we are going to multiply his speed by the multiplier 
:
Now, to find the distance from Boston to Worcester, we are going to use the distance formula:
where
is the distance
is the speed
is the time
We know that the speed of Mr. Peter is
and his time is 30 minutes. Lets replace those values in our formula:
Now, lets concentrate on Mr. Peter clone, Mr. P:
Lets convert the speed of Mr. P to miles per minute:
We also know that they will cover the same distance, 30 miles. Lets replace the values in our formula one more time to find t:
But since Mr. P <span>leaves 5 minutes after Mr. Peters, we need to add those 5 minutes to M. P's time:
</span>
We can conclude that Mr. P will arrive first, 5 minutes before Mr. Peter.
Now, to find the distance from Boston to Worcester, we are going to use the distance formula:
where
We know that the speed of Mr. Peter is
Now, lets concentrate on Mr. Peter clone, Mr. P:
Lets convert the speed of Mr. P to miles per minute:
We also know that they will cover the same distance, 30 miles. Lets replace the values in our formula one more time to find t:
But since Mr. P <span>leaves 5 minutes after Mr. Peters, we need to add those 5 minutes to M. P's time:
</span>
We can conclude that Mr. P will arrive first, 5 minutes before Mr. Peter.