Answer:
B(3.5, 0.5)
Step-by-step explanation:
Given:
A(5,5), Xa=5, Ya=5
C(3,-1), Xc=3, Yc=-1
To find point B, we can use the partition rule, where AB = 3BC, so AB occupies k=3/4 of the distance AC.
B(x,y) = ((1-k)Xa+kXc, (1-k)Ya+kYc)
=(Xa/4+3Xc/4, Ya/4+3Yc/4), substitute values
=(5/4+3*3/4, 5/4+3*(-1)/4)
=(14/4,2/4)
=(3.5, 0.5)
Answer: Points (-1 , 7.5), (0 , 6), and (1 , 4.5).
Step-by-step explanation:
Answer:
Step-by-step explanation:
We can solve this in either of two ways. I'll do both.
<u>Mathematically</u>
3x + 2y = 8
5x + 2y = 12
Rewrite either equation to isolate y. I'll use
3x + 2y = 8
2y = 8 - 3x
y = (8-3x)/2
Now use this value of y in the other equation:
5x + 2y = 12
5x + 2((8-3x)/2) = 12
5x + (8 - 3x) = 12
2x = 4
x = 2
Use x=2 to find y:
y = (8-3x)/2
y = (8-3*(2))/2
y = (8-6)/2
y = 1
The point is (2,1)
<u>Graphically</u>
Graph the two equations and find the point they intersect. See attachment.
We obtain the same answer: (2,1)
