Answer:
P = (A +3B)/4
Step-by-step explanation:
A "directed" line segment is one that has a "beginning" and an "end". The first letter of the line segment's name is the beginning; the last letter is the end.
Line segment AB begins at point A and ends at point B.
The problem statement tells you what it means to locate point P so the segment is divided in the ratio 3:1.
AP : PB = 3 : 1
(P -A) / (B -P) = 3 / 1
P -A = 3(B -P) . . . . . . . . multiply by (B-P)
P +3P = A +3B . . . . . . . add A+3P
P = (A +3B)/4
You can find point P by filling in the coordinate values in the formula just found.
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<em>Comment on the general case</em>
If you derive the formula for P dividing the segment in the ratio m : n, you find it is ...
P = (nA +mB)/(m+n) . . . length ratios are applied in reverse to the end points
First thing to do is to move the constant over to the other side of the equals sign. Then we will complete the square on the x terms. We will take half the linear term, square it, then add it to both sides. Our linear term is 4. Half of 4 is 2, and 2 squared is 4.
. In the process of completing the square we have created a perfect square binomial on the left which is
. A is our answer.
Answer: 2.0
Step-by-step explanation:
To round 1.965 to the nearest tenth consider the hundredths’ value of 1.965, which is 6 and equal or more than 5. Therefore, the tenths value of 1.965 increases by 1 to 0.
1.965 rounded to the nearest tenth = 2.0
The answer to this problem is x> -64
