How to verify midpoint using distance formula

Mathematics

1 answer:

Brut [27]2 years ago

7 0

Answer:

Step-by-step explanation:

Suppose you draw line AC and calculate the midpoint of AC.

To verify the correctness of your midpoint, you'd find the distance from A to the midpoint, M, as well as the distance from the midpoint, M, to C. If these two distances are equal, then you've found that your midpoint calculation was correct.

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What is 2/9 = 4/x+8 i dont get this fraction solving

Dmitriy789 [7]

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$\frac{2}{9} = \frac{4}{x + 8} \\$

$\frac{4}{x + 8} = \frac{2}{9} \\$

Inverse both sides

$\frac{x + 8}{4} = \frac{9}{2} \\$

Multiply sides by 4

$4 \times \frac{x + 8}{4} = 4 \times \frac{9}{2} \\$

$x + 8 = 2 \times 9$

$x + 8 = 18$

Subtract sides 8

$x + 8 - 8 = 18 - 8$

$x = 10$

Done...

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2 years ago

Solve the equation. 2/3 - 4x 7/2= -9x+ 5/6 step by step

Lostsunrise [7]

Answer: $\bold{x=\dfrac{11}{21}}$

<u>Step-by-step explanation:</u>

$\dfrac{2}{3}-\dfrac{4x+7}{2}=-9x+\dfrac{5}{6}\\\\(6)\dfrac{2}{3}-(6)\dfrac{4x+7}{2}=-9x(6)+(6)\dfrac{5}{6}\qquad \text{(multiplied by LCD) }\\\\4 - 12x-21=-54x+5\qquad \text{(simplified)}\\\\-12x - 17 = -54x + 5\qquad \text{(added like terms)}\\\\42x-17=5\qquad \text{(added 54x to both sides)}\\\\42x = 22\qquad \text{(added 17 to both sides)}\\\\x=\dfrac{22}{42}\qquad \text{(divided both sides by 42)}\\\\x=\dfrac{11}{21}\qquad \text{(reduced the fraction)}$