2 years ago

What of the following statement best describes the relationship between the themes of place and humans environment interaction

Geography

1 answer:

Archy [21]2 years ago

3 0

Characteristics of "placE" include things like economy activity architecture

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True
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Vilka [71]

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3 years ago

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

Kazeer [188]

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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3 years ago