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PineaPPle663
29.09.2020 •
Mathematics
Find L on A (-2,0) and B(4,3) that is 2/3 of the distance from A to B.
A. (0,1)
B (1,3/2)
C(2/3, 3/2)
D(2,2)
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Ответ:
Greetings from Brasil...
First we will calculate the distance between points A and B....
The expression that allows you to calculate the distance between two points is:
d(A; B) = √[(Xb - Xa)² + (Yb - Ya)²]d(A; B) = √[(4 - (- 2))² + (3 - 0)²]
d(A; B) = √[6² + 3²]
d(A; B) = √4545 = 3² · 5
d(A; B) = 3√5
L is 2/3 of the distance from AB, so
L = 2/3 · d(A; B)
L = 2/3 · 3√5
L = 2√5For the coordinates of point L: let us use similarity of triangles...
BM/LN = AB/AL - refer to attached
3/Yl = 3√5/2√5
Yl = 2
As we can see in the graph, when Y = 2, X is also 2, so
L (2; 2)there are other ways to accomplish this task
Ответ:
the answer is shut ur stupid mouth n do the work yourself brat
Step-by-step explanation:
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