A ) y = 2(3) + 7
y = 15
b ) y = 2(-3) + 7
y = 1
Answer: 10
Step-by-step explanation:
In a right angle triangle
Hypothenus ^2= opposite ^2+ adjacent ^2
According to a diagram below
Hypothenus =15
Opposite =?
Adjacent =11
Substitute for the values
15^2=11^2+opp^2
Opp^2=15^2-11^2
0pp^2= 225-121
Opp2=104
Opp= square root of 104
Opp= 10.2
Opp= ~10
The total number of kids:
8+24 = 32
the ratio is 24:32
it simplifies into 3:4
To get the inverse, first off do a quick switch on the variables, and then solve for "y".
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
![y = \stackrel{\stackrel{m}{\downarrow }}{2}x-5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}](https://tex.z-dn.net/?f=y%20%3D%20%5Cstackrel%7B%5Cstackrel%7Bm%7D%7B%5Cdownarrow%20%7D%7D%7B2%7Dx-5%5Cqquad%20%5Cimpliedby%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20slope-intercept~form%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y%3D%5Cunderset%7By-intercept%7D%7B%5Cstackrel%7Bslope%5Cqquad%20%7D%7B%5Cstackrel%7B%5Cdownarrow%20%7D%7Bm%7Dx%2B%5Cunderset%7B%5Cuparrow%20%7D%7Bb%7D%7D%7D%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D)
so we're really looking for the equation of a line whose slope is 2 and passes through (4 , -3)
![(\stackrel{x_1}{4}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{2}(x-\stackrel{x_1}{4}) \\\\\\ y+3=2x-8\implies y=2x-11](https://tex.z-dn.net/?f=%28%5Cstackrel%7Bx_1%7D%7B4%7D~%2C~%5Cstackrel%7By_1%7D%7B-3%7D%29%5Cqquad%20%5Cqquad%20%5Cstackrel%7Bslope%7D%7Bm%7D%5Cimplies%202%20%5C%5C%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20%5Ctextit%7Bpoint-slope%20form%7D%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y-y_1%3Dm%28x-x_1%29%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%5Cimplies%20y-%5Cstackrel%7By_1%7D%7B%28-3%29%7D%3D%5Cstackrel%7Bm%7D%7B2%7D%28x-%5Cstackrel%7Bx_1%7D%7B4%7D%29%20%5C%5C%5C%5C%5C%5C%20y%2B3%3D2x-8%5Cimplies%20y%3D2x-11)