How do you write x ≥-6 and x<-3 in interval notation?
2 answers:
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Answer:
<em>(7, 5)</em> is the final reflection of the point.
Step-by-step explanation:
We are given point A(-7, 5) which is first reflected over the line .
The minimum distance of the point A(-7, 5) from the line is 2 units across the horizontal path (No change in y coordinate).
Point A lies 2 units on the left side of the line .
So, its reflection will be 2 units on the right side of .
Let its reflection be A' which has coordinates as (-5+2,5) i.e. (-3, 5).
Now A'(-3, 5) is reflected on the line .
The minimum distance of the point A'(-3, 5) from the line is 5 units across the horizontal path (No change in y coordinate).
Point A' lies 5 units on the left side of the line .
So, its reflection will be 5 units on the right side of .
Let its reflection be A'' which has coordinates as (2+5, 5) i.e <em>(7, 5)</em> is the final reflection of the point..
Please find attached image.
<em>(7, 5)</em> is the final reflection of the point.
Given:
Point C divides AB such that AC:BC=2:3.
To find:
The x-value for point C.
Solution:
Section formula: If a point divide a line segment in m:n, then
Form the given graph it is clear that the endpoints of the line segment AB are A(-3,5) and B(3,0).
Point C divides AB such that AC:BC=2:3. Using section formula, the coordinates of point C are
The x-value of C is -0.6.
Therefore, the correct option is B.