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viva [34]
1 year ago
12

Given the points A and BThe coordinates of point A = ( 3 , 1 )The coordinates of point B = (-1 , -1)The midpoint of AB = ([?],[

])The midpoint of ab?
Mathematics
1 answer:
mr Goodwill [35]1 year ago
3 0

Given the points A and B

The coordinates of point A = ( 3 , 1 )

The coordinates of point B = (-1 , -1)

The midpoint of AB, is the point C

C will be calculated as following :

C=\frac{A+B}{2}=\frac{(3,1)+(-1,-1)}{2}=\frac{(3-1,1-1)}{2}=\frac{(2,0)}{2}=(1,0)

so, the midpoint of AB = (1 , 0 )

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What is a31 of the<br> arithmetic sequence for<br> which a5 = 12.4 and<br> ag = : 22.4?
MrMuchimi

The value of a₃₁ of the arithmetic sequence exists 77.4.

<h3>How to find the value of a₃₁ of the arithmetic sequence?</h3>

Given: a₅ = 12.4 and a₉ = : 22.4

For the arithmetic sequence a₁, a₂, a₃, ..., the n-th term exists

where d = common difference

a₅ = 12.4,

a₁ + 4d = 12.4 .........(1)

Because a₉ = 22.4,

a₁ + 8d = 22.4 .........(2)

Subtract (1) from (2), we get

a₁ + 8d - (a₁ + 4d) = 22.4 - 12.4

4d = 10

Dividing throughout by 4, we get

d = 2.5

From (1), we get

a₁ = 12.4 - 4 * 2.5 = 2.4

a₃₁ = 2.4 + 30 * 2.5 = 77.4

Therefore, the correct answer is a₃₁ = 77.4

To learn more about the arithmetic sequence refer to; brainly.com/question/6561461

#SPJ9

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