Answer:
y-7=3(x-9)
Step-by-step explanation:
It appears they want your answer in point-slope form, which is identified by the equation y-y1=m(x-x1)
Step 1: Find the slope (m)
m=(y2-y1)/(x2-x1)
m=(-8-7)/(4-9)
m=(-15)/(-5)
m=3
The slope is m=3
Step 2: Plug in m, y1, and x1
y-y1=m(x-x1)
y-7=3(x-9)
Therefore our final equation is y-7=3(x-9)
Answer with Step-by-step explanation:
The given differential euation is
![\frac{dy}{dx}=(y-5)(y+5)\\\\\frac{dy}{(y-5)(y+5)}=dx\\\\(\frac{A}{y-5}+\frac{B}{y+5})dy=dx\\\\\frac{1}{100}\cdot (\frac{10}{y-5}-\frac{10}{y+5})dy=dx\\\\\frac{1}{100}\cdot \int (\frac{10}{y-5}-\frac{10}{y+5})dy=\int dx\\\\10[ln(y-5)-ln(y+5)]=100x+10c\\\\ln(\frac{y-5}{y+5})=10x+c\\\\\frac{y-5}{y+5}=ke^{10x}](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%3D%28y-5%29%28y%2B5%29%5C%5C%5C%5C%5Cfrac%7Bdy%7D%7B%28y-5%29%28y%2B5%29%7D%3Ddx%5C%5C%5C%5C%28%5Cfrac%7BA%7D%7By-5%7D%2B%5Cfrac%7BB%7D%7By%2B5%7D%29dy%3Ddx%5C%5C%5C%5C%5Cfrac%7B1%7D%7B100%7D%5Ccdot%20%28%5Cfrac%7B10%7D%7By-5%7D-%5Cfrac%7B10%7D%7By%2B5%7D%29dy%3Ddx%5C%5C%5C%5C%5Cfrac%7B1%7D%7B100%7D%5Ccdot%20%5Cint%20%28%5Cfrac%7B10%7D%7By-5%7D-%5Cfrac%7B10%7D%7By%2B5%7D%29dy%3D%5Cint%20dx%5C%5C%5C%5C10%5Bln%28y-5%29-ln%28y%2B5%29%5D%3D100x%2B10c%5C%5C%5C%5Cln%28%5Cfrac%7By-5%7D%7By%2B5%7D%29%3D10x%2Bc%5C%5C%5C%5C%5Cfrac%7By-5%7D%7By%2B5%7D%3Dke%5E%7B10x%7D)
where
'k' is constant of integration whose value is obtained by the given condition that y(2)=0\\
Thus the solution of the differential becomes
Answer:
since 4y=12 and 4y=2x then 4y=12=2x or 12=2x
Answer:
True
Step-by-step explanation:
Formula
Tan(x) = opposite / adjacent
Givens
x = 42
adjacent = 14
opposite = ?
Solution
Tan(42) = opp/14 Find tan(42)
Tan(42) = 0.900404
0.900404 = opp/ 14 Multiply both sides by 14
14 * 0.900404 = opp/14 * 14 Simplify the left
12.6 rounded = opp
a = 12.6
