well, let's first find the slope of "this" line hmmmmm what would that be?
![\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{6}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-(-6)}{-2-1}\implies \cfrac{6+6}{-2-1} \\\\\\ \cfrac{12}{-3}\implies -4](https://tex.z-dn.net/?f=%20%5Cbf%20%28%5Cstackrel%7Bx_1%7D%7B1%7D~%2C~%5Cstackrel%7By_1%7D%7B-6%7D%29%5Cqquad%20%20%28%5Cstackrel%7Bx_2%7D%7B-2%7D~%2C~%5Cstackrel%7By_2%7D%7B6%7D%29%20%5C%5C%5C%5C%5C%5C%20slope%20%3D%20%20m%5Cimplies%20%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-%28-6%29%7D%7B-2-1%7D%5Cimplies%20%5Ccfrac%7B6%2B6%7D%7B-2-1%7D%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B12%7D%7B-3%7D%5Cimplies%20-4%20)
![\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-4\implies -\cfrac{4}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{1}{4}}\qquad \stackrel{negative~reciprocal}{+\cfrac{1}{4}}}\implies \cfrac{1}{4}](https://tex.z-dn.net/?f=%20%5Cbf%20%5Cstackrel%7B%5Ctextit%7Bperpendicular%20lines%20have%20%5Cunderline%7Bnegative%20reciprocal%7D%20slopes%7D%7D%20%7B%5Cstackrel%7Bslope%7D%7B-4%5Cimplies%20-%5Ccfrac%7B4%7D%7B1%7D%7D%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cstackrel%7Breciprocal%7D%7B-%5Ccfrac%7B1%7D%7B4%7D%7D%5Cqquad%20%5Cstackrel%7Bnegative~reciprocal%7D%7B%2B%5Ccfrac%7B1%7D%7B4%7D%7D%7D%5Cimplies%20%5Ccfrac%7B1%7D%7B4%7D%20)
you can use long division to do this:-
a + 3 ) a^2 + 2a + 3
= a - 1 remainder 6 or you can write it as a - 1 + 6 / (a + 3)
Answer:
Step-by-step explanation:
This represents an arithmetic progression with the first term of a = 15 and common difference of d = 3.
<u>The tenth row is the 10th term:</u>
<u>The row 10 has:</u>
- a₁₀ = 15 + 9*3 = 15 + 27 = 42 seats
because if u pick a grape that was 25% chance and then pick another grape that is 1/8
6.5 hours is equal to:
60 mins x 6 + 30 mins = 390 mins
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42.25 / 390 = 13/120
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Now there are 60 minutes in an hour, so what we do is multiply 13/120 by 60 to find out how much you earn per hour...
13/120 x 60 = 6.5
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You earn $6.50 per hour.