Point C is located at (1, 2) and point D is located at (−4, −2). Find the x value for the point that is 1\4 the distance from po
1 answer:
The easiest way to do this is to realize this is a <em>weighted average</em> of the two points. (A weighted average is a linear combination where the coefficients add to one.)
(x,y) = (1-t)C + tD
where t is a real parameter. When t=0 we're at point C, when t=1 we're at point D. We're interested in t=1/4,
(x,y)= (3/4) C + (1/4) D
We're only asked for the x coordinate:
x = (3/4) (1) + (1/4) (-4) = 3/4 - 1 = - 1/4
Answer:
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Option C: Clifton takes 6 minutes and 30 seconds to run one mile.
Explanation:
Given that Clifton ran 6 miles in 39 minutes.
We need to determine the time it takes for Clifton to run one mile.
To determine the time that it takes for Clifton to run one mile, we shall divide 39 minutes by 6 miles.
Thus, we have,
-------(1)
To convert 0.5 minutes to seconds, let us multiply the value by 60.
Thus, we have,
Thus, substituting in equation (1), we have,
Therefore, it takes 6 minutes and 30 seconds for Clifton to run one mile.
Hence, Option C is the correct answer.