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k0ka [10]
2 years ago
5

Solve the equation. Simplify your answer. 2 (3-x) = 16 (x+1)

Mathematics
1 answer:
Lady_Fox [76]2 years ago
6 0
(2 x 3) - (2x) = (16x) + (16 x 1)
6 - 2x = 16x + 16
6 - 16 = 16x + 2x (subtract 16 and add 2x on both sides)
-10 = 18x
x = -10/18 = -5/9
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The missing coordinates of the parallelogram is (m + h, n).

Solution:

Diagonals of the parallelogram bisect each other.

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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<u>To find the missing coordinate:</u>

Let the missing coordinates by x and y.

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.

$ \frac{m+h}{2}=\frac{x}{2}

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

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Now equate the y-coordinate.

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3 years ago
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