AA, B BB, and C CC are collinear, and B BB is between A AA and C CC. The ratio of A B ABA, B to B C BCB, C is 3 : 1 3:13, colon,

Question

3 years ago

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AA, B BB, and C CC are collinear, and B BB is between A AA and C CC. The ratio of A B ABA, B to B C BCB, C is 3 : 1 3:13, colon,

1. If A AA is at ( − 7 , 3 ) (−7,3)left parenthesis, minus, 7, comma, 3, right parenthesis and B BB is at ( − 1 , 0 ) (−1,0)left parenthesis, minus, 1, comma, 0, right parenthesis, what are the coordinates of point C CC?

Mathematics

1 answer:

Katena32 [7] · Answer 1 · 2022-05-02T11:00:02+03:00

Answer:

C = (1, -1)

Step-by-step explanation:

For that 3:1 division, the calculated value of point B is ...

B = (3C +1A)/(3+1)

Solving for the value of C, we find ...

4B = 3C + A . . . . multiply by 4

4B -A = 3C . . . . . subtract A; next divide by 3.

C = (4B -A)/3 = ((4(-1)-(-7))/3, (4(0)+-3)/3) . . . . substitute given values

C = (3/3, -3/3) . . . . simplify a bit

C = (1, -1)