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Lorico [155]
3 years ago
13

WILL GIVE BRAINLIEST! 7th GRADE MATH

Mathematics
1 answer:
AysviL [449]3 years ago
6 0

Answer:

Option (4)

Step-by-step explanation:

Point A is located at (0, 4) and point C is located at (-3, 5).

Let the point B is located at \frac{1}{4} the distance from A and C.

In other words ratio of the segments AB and BC = m : n = 1 : 3

Coordinates of a point (x, y) which divides a segment having ends (x_1,y_1) and (x_2,y_2) = (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})

If the ends of the segment are (0, 4) and (-3, 5), coordinates of point B will be

= (\frac{1(-3)+4(0)}{1+3},\frac{1(5)+4(4)}{1+3})

= (-\frac{3}{3}, \frac{21}{3})

= (-1, 7)

Option (4) will be the answer.

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