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Serhud [2]
3 years ago
11

Find the coordinates of the midpoint of the segment given at its endpoints A(5,8) and B(-1, -4)

Mathematics
1 answer:
Studentka2010 [4]3 years ago
7 0

(x_{m},y_{m} )  = (\frac{X_{A} +X_{B} }{2}  ,\frac{Y_{A} + Y_{B} }{2})

(x_{m},y_{m} )  = (\frac{5-1}{2}  ,\frac{8-4 }{2})

(x_{m},y_{m} )  = (\frac{4}{2}  ,\frac{4 }{2})

(x_{m},y_{m} ) = (2, 2)

Answer: (2, 2)

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What is the 10th term of the geometric sequence 400, 200, 100...?
Vsevolod [243]

ANSWER

a_ {10} = \frac{25}{32}

EXPLANATION

The given geometric sequence is

400, 200, 100...

The first term is

a_1=400

The common ratio is

r =  \frac{200}{400}  =  \frac{1}{2}

The nth term is

a_n=a_1( {r}^{n - 1} )

We substitute the known values to get;

a_n=400(  \frac{1}{2} )^{n - 1}

a_ {10} =400(  \frac{1}{2} )^{10 - 1}

a_ {10} =400(  \frac{1}{2} )^{9}

a_ {10} = \frac{25}{32}

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Explanation
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Step-by-step explanation:

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