Dilation with scale factor of 3= E.
translation 3 units up= D.
translation 3 units right= B.
horizontal stretch by a factor of 3= A.
vertical stretch by a factor of 3= C.
translation= its move places, so you are adding
stretch= it changes shape. you can either stretch it horizontally or vertically so you are multiplying
going up and down/ vertically is the y-axis
going left and right/horizontally is the x-axis
hope this helped!
2 and 1/4 miles is how far Mary walks around the track. This is because she walks for 15 minutes before Jerry gets there, which is 0.75 miles at 3mph. Then Jerry goes for 2 miles, which is half an hour. Half an hour is double 15 minutes, so it's double 0.75 miles. So 0.75 plus 1.5 = 2.25 Mark me brainliest :3
Answer:
yes
Step-by-step explanation:
Answer:
g(t) = 0
And
The differential equation 
is linear and homogeneous
Step-by-step explanation:
Given that,
The differential equation is -
![e^{t}y' + (9t - \frac{1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t(t^{2} + 81 ) - 1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t^{3} + 729t - 1}{t^{2} + 81 } )y = 0\\y' + [\frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) } ]y = 0](https://tex.z-dn.net/?f=e%5E%7Bt%7Dy%27%20%2B%20%289t%20-%20%5Cfrac%7B1%7D%7Bt%5E%7B2%7D%20%2B%2081%20%7D%20%29y%20%3D%200%5C%5Ce%5E%7Bt%7Dy%27%20%2B%20%28%5Cfrac%7B9t%28t%5E%7B2%7D%20%2B%2081%20%29%20-%201%7D%7Bt%5E%7B2%7D%20%2B%2081%20%7D%20%29y%20%3D%200%5C%5Ce%5E%7Bt%7Dy%27%20%2B%20%28%5Cfrac%7B9t%5E%7B3%7D%20%2B%20729t%20%20-%201%7D%7Bt%5E%7B2%7D%20%2B%2081%20%7D%20%29y%20%3D%200%5C%5Cy%27%20%2B%20%5B%5Cfrac%7B9t%5E%7B3%7D%20%2B%20729t%20%20-%201%7D%7Be%5E%7Bt%7D%28t%5E%7B2%7D%20%2B%2081%29%20%7D%20%5Dy%20%3D%200)
By comparing with y′+p(t)y=g(t), we get
g(t) = 0
And
The differential equation is linear and homogeneous.
