sweetgurllcece2
01.09.2019 •
Mathematics
A, b and c are collinear and b is between a and c. the ratio of ab to ac is 1: 3. if a is at (2,-6) and b is at (3,-1) what are the coordinates of point c
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Ответ:
The coordinate of C is (5,9)
Step-by-step explanation:
A, B and C are collinear and B is between A and C.
The ratio of AB to AC is 1:3
If A is at (2,-6) and B is at (3,-1)
AB:AC = 1:3
B is between A and C
AB:(AB+BC) = 1:(1+2)
Therefore, AB:BC = 1:2
Let the point C (a,b)
Using section formula:
where,
Substitute into formula and solve coordinate point C
Hence, The coordinate of C is (5,9)
Ответ:
(5, 9)
Step-by-step explanation:
The distance between A and B is 1/3 the distance between A and C.
x coordinates:
3 − 2 = 1/3 (x − 2)
1 = 1/3 (x − 2)
3 = x − 2
x = 5
y coordinates:
-1 − (-6) = 1/3 (y − (-6))
5 = 1/3 (y + 6)
15 = y + 6
y = 9
The coordinates of point C are (5, 9).
Ответ:
B) Angle 2 and Angle 3
Step-by-step explanation:
Angle 2 and Angle 3 are equal since they're vertical angles and aren't supplementary
Angle 7 and 8 are supplementary
Angle 1 and 7 are supplementary
Honestly, i have no clue with angle 4 and angle 4. I just know that vertical angles aren't supplementary because they're equal to each other so I'll assume this is the case as well.