bearing in mind that perpendicular lines have <u>negative reciprocal</u> slopes, let's find firstly the slope of AC.
![\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{6}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-1}{1-2}\implies \cfrac{5}{-1}\implies -5 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{-5}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{-5}}\qquad \stackrel{negative~reciprocal}{\cfrac{1}{5}}}](https://tex.z-dn.net/?f=%5Cbf%20%28%5Cstackrel%7Bx_1%7D%7B2%7D~%2C~%5Cstackrel%7By_1%7D%7B1%7D%29%5Cqquad%20%28%5Cstackrel%7Bx_2%7D%7B1%7D~%2C~%5Cstackrel%7By_2%7D%7B6%7D%29%20%5C%5C%5C%5C%5C%5C%20slope%20%3D%20m%5Cimplies%20%5Ccfrac%7B%5Cstackrel%7Brise%7D%7B%20y_2-%20y_1%7D%7D%7B%5Cstackrel%7Brun%7D%7B%20x_2-%20x_1%7D%7D%5Cimplies%20%5Ccfrac%7B6-1%7D%7B1-2%7D%5Cimplies%20%5Ccfrac%7B5%7D%7B-1%7D%5Cimplies%20-5%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bperpendicular%20lines%20have%20%5Cunderline%7Bnegative%20reciprocal%7D%20slopes%7D%7D%20%7B%5Cstackrel%7Bslope%7D%7B%5Ccfrac%7B-5%7D%7B1%7D%7D%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cstackrel%7Breciprocal%7D%7B%5Ccfrac%7B1%7D%7B-5%7D%7D%5Cqquad%20%5Cstackrel%7Bnegative~reciprocal%7D%7B%5Ccfrac%7B1%7D%7B5%7D%7D%7D)
so, we're really looking for the equation of a line whose slope is 1/5 and that passes through (3,3)
This problem is about ratios.
Solve for X
The tree is 50ft tall.
Answer:
-1.514
Step-by-step explanation:
8/15 = 0.53
Equation:-
0.53/(-0.35)
=> -1.5142857142857145 = -1.514 (Approx.)
Answer:
ok, relax and listen I’ve got this ok?
Step-by-step explanation:
You just move it up 4 squares to (2, 9), (10,9)
see?you got this I believe in you!!!
Answer:
The correct answer is 2030.
Step-by-step explanation:
To start we must analyze the information we have.
We know that a city has 8000 inhabitants and that each year this number increases by 0.5%. That means that <u>each year it has 40 more inhabitants</u>:
(8000 . 0,5) : 100 = 40
Having this information we could do a cross multiplication:
1 year ------- 40 inhabitants
x years ------- 81200
81200 = 40.x
x = 81200 : 40
x = 2030
In this way we can verify that the correct answer is 2030.
