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3 years ago

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Mark values his drum set at $800 and ella values her guitar at $1,000. suppose that mark trades his drum set for ella's guitar.

1 answer:

Novosadov [1.4K]3 years ago

7 0

If they made this trade, it would make sense that Mark would also have to give Ella $200. This is because the difference in value is that amount in the favor of Ella. You can see that by subtracting the two values from each other.

$1000 - $800 = $200

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Coordinates of point P is $(-14,3)$ .

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Given that mid point of line segment $\overline {PQ}$ is at <em>M(-9, 8.5).</em>

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Let coordinate of P be $(x,y)$ .

Using the ratio, we can say the following:

<em>The coordinates of mid point</em> $(X,Y)$ of a line with endpoints $(x_1, y_1)$ and $(x_2, y_2)$ is given as:

$X=\dfrac{(x_1+ x_2)}{2}$

$Y=\dfrac{(y_1+ y_2)}{2}$

Using the formula for above given dimensions:

$-9 =\dfrac{x+(-4)}{2}\\\Rightarrow x = -18+4 = -14$

$8.5=\dfrac{(14+ y)}{2}\\\Rightarrow y = 17-14 =3$

So, the <em>coordinates of point P are</em> $(-14,3)$ .

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