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3 years ago

(-2x + 6)1/5 = (-8 + 10x)1/5

Mathematics

1 answer:

Nesterboy [21]3 years ago

6 0

Answer:

12x = 14

simplify x=7/6

Step-by-step explanation:

(-2x+6)1/5 ║ (-8+10x)1/5

Then you'll times 1/5 to every number in the (bracts) on both sides

1/5 · (-2x) = -2/5x ║ 1/5 ·(-8) = -8/5

1/5 · (6) = 6/5 ║ 1/5 · (10x) = 10/5→ 2/1 = 2

Now you have -2/5x + 6/5 = -8/5 + 2x

Next you will subtract 6/5 from both sides and it would be

-2/5x + 2x -14/5

then you will subtract 2x from both sides and it would be

-12/5x = -14/5

Then you will multiply both sides by 5

which is 12x = 14

simplify x= 7/6

decimal x= 1.16667...

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Solve using mid-point formula:

$$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )$

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Here $x_1=0, y_1=0, x_2=x, y_2=y$

$$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{x}{2}, \frac{y}{2}\right )$

Now equate the x-coordinate.

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Now equate the y-coordinate.

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Multiply by 2 on both sides of the equation, we get

n = y

y = n

Hence the missing coordinates of the parallelogram is (m + h, n).

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