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The coordinates of point B that divides the line in the ratio 1:3 is: ( C )(3.25, 2.75)
<h3>What is a line segment?</h3>A line segment is formed by joining two points by a straight line.
Analysis:
The coordinates of point B(x,y) are gotten by the formula
x =
y =
where, x1 and y1 are coordinates of A and x2 and y2 are coordinates of B
are the values of the ratio p:q.
x1 = 4, x2 = 1 y1 = 5, y2 = 2, p = 1, q = 3
x = = 3.25
y = = 2.75
coordinates of B are ( 3.25, 2.75)
In conclusion, the coordinates of point B are (3.25, 2.75)
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Answer:
x = 12 and x = -6
Step-by-step explanation:
First subtract 6x on both sides to get a 2nd degree polynomial equal to zero:
To complete the square, the formula is to divide 'b' by 2 and square the result. The general form for a 2nd degree polynomial of the variable 'x' is as follows:
For your case, b = 6. Therefore, the term that must be added and subtracted to our equation is:
Add and subtract 9 to our equation to get:
The first three terms form a perfect square, we have:
What multiplies to equal 9 but adds to equal -6? That would be -3 and -3. Therefore:
Add 81 to both sides to get:
We want to take the square root, but recall a square root has a positive and negative branch. Therefore we have two solutions: