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Solnce55 [7]
3 years ago
10

The Sun is positioned in the constellation of Virgo at the autumnal equinox. If we were able to somehow turn off the Sun, the co

nstellation of Virgo would pass through the zenith for people living on the _______.
Geography
1 answer:
aivan3 [116]3 years ago
5 0

Answer:

The answer is the "equator".

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Given directed line segment CD, if point E divides CD three-fourths of the way
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Answer:

E(-2, -1.5)

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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