Answer:
The coordinates of point C are (-8,5).
Step-by-step explanation:
It is given that A, B and C collinear and B is between A and C.
The ratio of AB to BC is 1:2. It means Point divided the line segments AC in 1:2.
Section formula:
The given points are A(7,-1) and B(2,1).
Let the coordinates of C are (a,b).
Using section formula the coordinates of B are
We know that point B(2,1).
On comparing both sides we get
The value of a is -8.
The value of b is 5.
Therefore, the coordinates of point C are (-8,5).
The coordinates of the pointC such that pointsA and B are (7, -1) and (2, 1) and the ratioAB to BC is 1 : 2 is (-8, 5).
According to the Euclidean geometry, a line is formed by two points on a plane and three points are collinear if all the three points go through a single line.
By definitions of vector and ratio we derive an expression to determine the coordinates of the point B:
If we know that A(x,y) = (7, -1) and B(x,y) = (2, 1), then the coordinates of point C is:
C(x, y) = 3 · (2, 1) - 2 · (7, -1)
C(x, y) = (6, 3) + (- 14, 2)
C(x,y) = (- 8, 5)
The coordinates of the pointC such that pointsA and B are (7, -1) and (2, 1) and the ratioAB to BC is 1 : 2 is (-8, 5).
The statement is poorly formatted and reports mistakes. Correct form is shown below:
A, B and C are collinear and B is between A and C. The ratio of AB to BC is 1 : 2. If A is A(x, y) = (7, -1) and B(x, y) = (2, 1), what are the coordinates of point C?
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Answer:
A is the correct answer m8
9,870 L
0.987 L
98.7 L
Answer:
0.987L
Hope this heeeeeeelps
Answer:
61°
Step-by-step explanation:
∠SPQ is a straight line, so it equals to 180°.
∠SPR is 119° and since we're looking for ∠QPR, we subtract 119° from 180°.
180° - 119° = 61°, so ∠QPR = 61°
Answer:
61 degrees
Step-by-step explanation:
Because SPQ is said to be a straight line, we know that a straight line in this kind of equation is equal to 180 degress.
Since we already know the measure to one angle (119), we would need to find the difference between 180 and 119, meaning we'd have to subtract.
(180-119)
Then we would just get the sum, which in this case, is 61 degrees.