Answer:
Therefore Planet Diner is located 170 miles from Clark.
Step-by-step explanation:
We are given our origin, which is Clark (C) and three Locations as Lutherville (L), Otisburg (O) and Planet Diner (PD).
We know that the distance between Clark and Lutherville is 145 miles.
We know that the distance between Clark and Otisburg is 195 miles.
We also know that Planet Diner is halfway between Lutherville and Otisburg, thus exactly in between them.
<em><u>So if we can find the position of Planet Diner between Lutherville and Otisburg, we will automatically know its distance from Clark, since Clark is the reference origin for ALL locations. </u></em>
Thus we have
Therefore Planet Diner is located 170 miles from Clark.
Answer:
(7, -6)
Step-by-step explanation:
You want to find point X on the segment from A to B such that ...
(X -A)/(B -X) = 3/2
2(X -A) = 3(B -X) . . . . . . cross multiply
2X -2A = 3B -3X . . . . . eliminate parentheses
5X = 2A +3B . . . . . . . . add 3X +2A
X = (2A +3B)/5 . . . . . . . divide by 5
Filling in the given points for A and B, we have ...
X = (2(4, -3) +3(9, -8))/5 = (8+27, -6-24)/5 = (35, -30)/5
X = (7, -6)
The point that divides the segment in the proportions 3:2 is (7, -6).
Answer:
what are you telling Id understand
Step-by-step explanation:
became
Try to subtitute y with 3x - 7
15x - 5y = 14
15x - 5(3x - 7) = 14
15x - 15x + 35 = 14
35 ≠ 14
The equation system doesn't have any solution
<h3>Answer: There will be roughly 109,273 people in three years.</h3>
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Work Shown:
P = initial population = 100,000
r = growth rate = 3% = 0.03
t = number of years = 3
Use the formula below to plug in the values and compute
A = P*(1+r)^t
A = 100,000*(1+0.03)^3
A = 100,000*(1.03)^3
A = 100,000*1.092727
A = 109,272.7
A = 109,273 <<-- rounding to the nearest whole number