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What countries are in the Northern Hemisphere?

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1 answer:

Kitty [74]3 years ago

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USA, Canada, Denmark, Germany, Russia. Basically every country above the equator.

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Explanation:

From the diagram attached, the coordinates of point C and D are at C(1, 6) and D(-3,-4)

If a line segment AB with coordinates at $(x_1,y_1)\ and\ (x_2,y_2)$ is divided by a point O(x, y) in the ratio n:m, the coordinates of point O is given by the formula:

$x=\frac{n}{n+m}(x_2-x_1)+x_1 \\\\y=\frac{n}{n+m}(y_2-y_1)+y_1$

C(1, 6) and D(-3,-4) are divided three fourths (in ratio 3:1) by point E. Let us assume E is at (x,y), hence the coordinate of point L is given as:

$x=\frac{n}{n+m}(x_2-x_1)+x_1=\frac{3}{4}(-3-1)+1=\frac{3}{4}(-4)+1=-2 \\\\y=\frac{n}{n+m}(y_2-y_1)+y_1=\frac{3}{4}(-4-6)+6=\frac{3}{4} (-10)+6=-1.5$

Point E is at (-2, -1.5)

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