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Lena [83]
3 years ago
15

If A(x, y) and B(27, 2y) are points on a grid, the coordinates of the midpoint of line

Mathematics
1 answer:
Troyanec [42]3 years ago
6 0

Answer:

( .5x+13.5, 1.5y)

Step-by-step explanation:

To find the coordinates of the midpoint, add the endpoints and divide by 2

(x+ 27)/2 = x/2 + 13.5

(y+2y)/2 = 3y/2 = 1.5y

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If a, b, 72, (a+b) are consecutive terms of an A.P., find the values of a and b.​
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Answer:

a = 36, b = 54

Step-by-step explanation:

Since the terms are in arithmetic progression then there is a common difference d between consecutive terms , that is

b - a = 72 - b ( add b to both sides )

2b - a = 72 → (1)

and

a + b - 72 = b - a ( subtract b - a from both sides )

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Substitute a = 36 into (1) and evaluate for b

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2b = 108 ( divide both sides by 2 )

b = 54

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