Under S would be 1 and 9 under E would be 2 6 8 10 and 12 and 4 goes in the middle
![\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 3 &,& -4~) % (c,d) &&(~ 5 &,& 1~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-(-4)}{5-3}\implies \cfrac{1+4}{5-3}\implies \cfrac{5}{2} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-4)=\cfrac{5}{2}(x-3)\implies y+4=\cfrac{5}{2}x-\cfrac{15}{2}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Bccccccccc%7D%0A%26%26x_1%26%26y_1%26%26x_2%26%26y_2%5C%5C%0A%25%20%20%28a%2Cb%29%0A%26%26%28~%203%20%26%2C%26%20-4~%29%20%0A%25%20%20%28c%2Cd%29%0A%26%26%28~%205%20%26%2C%26%201~%29%0A%5Cend%7Barray%7D%0A%5C%5C%5C%5C%5C%5C%0A%25%20slope%20%20%3D%20m%0Aslope%20%3D%20%20m%5Cimplies%20%0A%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%7B1-%28-4%29%7D%7B5-3%7D%5Cimplies%20%5Ccfrac%7B1%2B4%7D%7B5-3%7D%5Cimplies%20%5Ccfrac%7B5%7D%7B2%7D%0A%5C%5C%5C%5C%5C%5C%0A%25%20point-slope%20intercept%0A%5Cstackrel%7B%5Ctextit%7Bpoint-slope%20form%7D%7D%7By-%20y_1%3D%20m%28x-%20x_1%29%7D%5Cimplies%20y-%28-4%29%3D%5Ccfrac%7B5%7D%7B2%7D%28x-3%29%5Cimplies%20y%2B4%3D%5Ccfrac%7B5%7D%7B2%7Dx-%5Ccfrac%7B15%7D%7B2%7D)
![\bf y=\cfrac{5}{2}x-\cfrac{15}{2}-4\implies y=\cfrac{5}{2}x-\cfrac{23}{2}\impliedby \begin{array}{llll} \textit{now let's multiply both}\\ \textit{sides by }\stackrel{LCD}{2} \end{array} \\\\\\ 2(y)=2\left( \cfrac{5}{2}x-\cfrac{23}{2} \right)\implies 2y=5x-23\implies \stackrel{standard~form}{-5x+2y=-23} \\\\\\ \textit{and if we multiply both sides by -1}\qquad 5x-2y=23](https://tex.z-dn.net/?f=%5Cbf%20y%3D%5Ccfrac%7B5%7D%7B2%7Dx-%5Ccfrac%7B15%7D%7B2%7D-4%5Cimplies%20y%3D%5Ccfrac%7B5%7D%7B2%7Dx-%5Ccfrac%7B23%7D%7B2%7D%5Cimpliedby%20%0A%5Cbegin%7Barray%7D%7Bllll%7D%0A%5Ctextit%7Bnow%20let%27s%20multiply%20both%7D%5C%5C%0A%5Ctextit%7Bsides%20by%20%7D%5Cstackrel%7BLCD%7D%7B2%7D%0A%5Cend%7Barray%7D%0A%5C%5C%5C%5C%5C%5C%0A2%28y%29%3D2%5Cleft%28%20%5Ccfrac%7B5%7D%7B2%7Dx-%5Ccfrac%7B23%7D%7B2%7D%20%5Cright%29%5Cimplies%202y%3D5x-23%5Cimplies%20%5Cstackrel%7Bstandard~form%7D%7B-5x%2B2y%3D-23%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Ctextit%7Band%20if%20we%20multiply%20both%20sides%20by%20-1%7D%5Cqquad%205x-2y%3D23)
side note: multiplying by the LCD of both sides is just to get rid of the denominators
Ok,
Sam has a phone card that charges $1 to connect. If it is 50 cents a minute he would be able to call for 2mintues on this phone. His or her cell phone CHARGES $3 and it is 25cents per mintue. which would be.. 12mintues
OK SORRY IF IM INCORRECT BUT, IM IN MIDDLE SCHOOL DOING THIS!
Answer:
It was ok
Step-by-step explanation:
It was ok
how about you?
Answer:
r = 1/11
Step-by-step explanation:
16r-2r = -3r+6r+1
14r = 3r+1 (combine like terms)
11r = 1
r = 1/11