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Ostrovityanka [42]
3 years ago
6

The midpoint of AB is M(3,1).If the coordinates of A are (8,4) what are the coordinates of B

Mathematics
1 answer:
gulaghasi [49]3 years ago
4 0

Answer:

The coordinates of B are (-2 , 9)

Step-by-step explanation:

A (8, 4)

M (3 , -1)

To calculate a midpoint you have to add the corresponding coordinates of each point and divide them by 2

(Ax + Bx) / 2 = Mx

(8 + Bx) / 2 = 3

8 + Bx = 3 * 2

Bx = 6 - 8

Bx = -2

(Ay + By) / 2 = My

( -1 + By) / 2 = 4

-1 + By = 4 * 2

By = 8 + 1

By = 9

The coordinates of B are (-2 , 9)

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Answer:

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Step-by-step explanation:

Hi there!

First, let´s write the equation:

log[(x² + 2x -3)⁴] = 0

Apply the logarithm property: log(xᵃ) = a log(x)

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Divide by 4 both sides

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if log(x² + 2x -3) = 0, then  x² + 2x -3 = 1 because only log 1 = 0

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Subtract 1 at both sides of the equation

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Using the quadratic formula let´s solve this quadratic equation:

a = 1

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x = [-b± √(b² - 4ac)]/2a

x =  [-2 + √(4 - 4(-4)·1)]/2 = 1.24

and

x = [-2 - √(4 - 4(-4)·1)]/2 = -3.24

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Have a nice day!

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