3 years ago

True or False... Maps can be used to show the size of a state?

Geography

1 answer:

nadezda [96]3 years ago

7 0

True if the map shows a scale.

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Given directed line segment KM , find the coordinates of L such that the ratio

poizon [28]

Answer:

The answer is below

Explanation:

The question is not complete, the coordinates of K and M are not given. Let us assume The coordinates are at K(1, -6) and M(9,-2)

Answer: 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:

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

K(1, -6) and M(9,-2) are divided in ratio 1:3 by point L. Let us assume L is at (x,y), hence the coordinate of point L is given as:

$x=\frac{n}{n+m}(x_2-x_1)+x_1=\frac{1}{1+3}(9-1)+1=\frac{1}{4}(8)+1=3 \\\\y=\frac{n}{n+m}(y_2-y_1)+y_1=\frac{1}{1+3}(-2-(-6))+(-6)=\frac{1}{4} (4)-6=-5$