Mathematics: Write the number in scientific notation 79,200,000

Write the number in scientific notation 79,200,000 - id792000001415617, emmanuelmashao6704

Ответ:

aprilhood4022

06.02.2021

The coordinates of the intersection of the diagonal of the parallelogram are M(x,y) = (3,2) .

Step-by-step explanation:

Diagonals are represented by line segments GJ and KH. Since quadrilateral is a parallelogram, then coordinates of the intersection are located at midpoint of each diagonal ( M(x,y) ). That is:

$M(x,y) = G(x,y) + \frac{1}{2}\cdot \overrightarrow {GJ}$

$M(x,y) = G(x,y) +\frac{1}{2}\cdot [J(x,y)-G(x,y)]$ (1)

If we know that G(x,y) = (1,3) and J(x,y) = (5,1) , the coordinates of the intersection of the diagonals of the parallelogram are:

$M(x,y) = (1,3) +\frac{1}{2}\cdot [(5,1)-(1,3)]$

$M(x,y) = (1,3) +\frac{1}{2}\cdot (4,-2)$

M(x,y) = (1,3) +(2,-1)

M(x,y) = (3,2)

There is another form:

$M(x,y) = K(x,y) +\frac{1}{2}\cdot \overrightarrow{KH}$

$M(x,y) = K(x,y) + \frac{1}{2}\cdot [H(x,y)-K(x,y)]$ (2)

If we know that K(x,y) = (2, 1) and H(x,y) = (4,3) , the coordinates of the intersection of the diagonals of the parallelogram are:

$M(x,y) = (2,1) + \frac{1}{2}\cdot [(4,3)-(2,1)]$

$M(x,y) = (2,1) + \frac{1}{2} \cdot (2,2)$

M(x,y) = (2,1) + (1,1)

M(x,y) = (3,2)

Therefore, the coordinates of the intersection of the diagonal of the parallelogram are M(x,y) = (3,2) .

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