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Olin [163]
2 years ago
10

Find the coordinates of the midpoint of a line segment with end points (-3,4) and (7,9)

Mathematics
1 answer:
lesantik [10]2 years ago
6 0

Answer:  (2, 6.5)

<u>Step-by-step explanation:</u>

Midpoint_{x,y}=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad \quad=\bigg(\dfrac{-3+7}{2},\dfrac{4+9}{2}\bigg)\\\\\\.\qquad \qquad \quad=\bigg(\dfrac{4}{2},\dfrac{13}{2}\bigg)\\\\\\.\qquad \qquad \quad=\large\boxed{(2,6.5)}

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Answer:

The closed linear form of the given sequence is a_{n}=0.75n-0.45

Step-by-step explanation:

Given that the first term a_{1}=0.3 and a_{n+1}=a_{n}+0.75

To find the closed linear form for the given sequence

The formula for arithmetic sequence is

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Comparing this we get d=0.75

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We can substitute these values in a_{n}=a_{1}+(n - 1)d

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Rewritting as below

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Therefore a_{n}=0.75n-0.45

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