What are the coordinates of point B on Line AC such that AB is 3 times as long as BC? (Screenshots supplied to clarify)
2 answers:
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)
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Answer:
Given in order:
- 22% growth
- 12% growth
- 12% decay
- 20% decay
Step-by-step explanation:
The exponential function is in the form
If r is positive (the number in the bracket is larger than 1), then it is <em>exponential growth</em> and if r is negative (the number in the bracket is less than 1), then it is <em>exponential decay.</em>
<em />
<u>Growth or Decay by how much???</u>
The amount that is greater than/less than 1
- The first function's number inside the bracket is greater than 1 by 0.22 (22%). So it is "22% growth".
- The second function's number inside the bracket is greater than 1 by 0.12 (12%). So it is "12% growth".
- The third function's number inside the bracket is less than 1 by 0.12 (12%). So it is "12% decay".
- The fourth function's number inside the bracket is less than 1 by 0.2 (20%). So it is "20% decay".
