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Point A is located at (-2, 2), and point M is located at (1,0). If point M is the midpoint of AB, find the location of point B.O(-0.5, 1)

O (4,-2)

O(-5,4)

O(-1,1)

Answers

Answer 1
Answer:

Answer:

B. B = (4,-2)

Step-by-step explanation:

GIven that A = (-2, 2) and M = (1, 0), and that point M is the midpoint of AB, the midpoint can be determined as a vectorial sum of A and B. That is:

M = (1)/(2)\cdot A + (1)/(2)\cdot B

The location of B is now determined after algebraic handling:

(1)/(2)\cdot B = M - (1)/(2)\cdot A

B = 2\cdot M -A

Then:

B = 2\cdot (1,0)-(-2,2)

B = (2\cdot 1, 2\cdot 0)-(-2,2)

B = (2,0) -(-2,2)

B = (4,-2)

Which corresponds to option B.

Answer 2
Answer:

The coordinate of point B will be (4, -2). Then the correct option is B.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Point A is located at (-2, 2), and point M is located at (1,0).

If point M is the midpoint of AB.

Then the location of point B will be

We know that the mid section formula

\rm (x, y) = \left ( (x_1+x_2)/(2), (y_1+y_2)/(2) \right)

Then the formula can be written as

x₂ = 2x - x₁ and y₂ = 2y - y₁

Then we have

x₂ = 2 × 1 + 2

x₂ = 4

y₂ = 2 × 0 - 2

y₂ = - 2

Then the coordinate of point B will be (4, -2).

Thus, the correct option is B.

More about the coordinate geometry link is given below.

brainly.com/question/1601567

#SPJ5

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an=
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Answers

Greetings!

Answer:

an = 65 + 5_(n - 1)

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Step-by-step explanation:

If the begining value is 65, then a1 has to be itL

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Answers

Answer:

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Answers

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Answers

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