Answer:
a) See the file below, b)
, c) ![s \approx 9.715](https://tex.z-dn.net/?f=s%20%5Capprox%209.715)
Step-by-step explanation:
a) Points moves clockwise as t increases. See the curve in the file attached below. The parametric equations describe an ellipse.
b) The arc length formula is:
![s = \int\limits^{0.5\pi}_{-0.25\pi} {[\left( 3\cdot \cos t\right)^{2}+\left(-5\cdot \sin t \right)^{2}]} \, dx](https://tex.z-dn.net/?f=s%20%3D%20%5Cint%5Climits%5E%7B0.5%5Cpi%7D_%7B-0.25%5Cpi%7D%20%7B%5B%5Cleft%28%203%5Ccdot%20%5Ccos%20t%5Cright%29%5E%7B2%7D%2B%5Cleft%28-5%5Ccdot%20%5Csin%20t%20%5Cright%29%5E%7B2%7D%5D%7D%20%5C%2C%20dx)
c) The perimeter of that arc is approximately:
![s \approx (\frac{1}{4} + \frac{1}{8})\cdot 2 \pi\cdot \sqrt{\frac{3^{2}+5^{2}}{2} }](https://tex.z-dn.net/?f=s%20%5Capprox%20%28%5Cfrac%7B1%7D%7B4%7D%20%2B%20%5Cfrac%7B1%7D%7B8%7D%29%5Ccdot%202%20%5Cpi%5Ccdot%20%5Csqrt%7B%5Cfrac%7B3%5E%7B2%7D%2B5%5E%7B2%7D%7D%7B2%7D%20%7D)
![s \approx 9.715](https://tex.z-dn.net/?f=s%20%5Capprox%209.715)
Answer:
a=6, b=5.5
Step-by-step explanation:
By looking at the sides of the triangles it can easily be seen that some of the sides match up. Side b is similar to the side of 11 and same with side a and the side of 3. Since one side is 16 and the other side on the smaller triangle is 8, the bigger triangle is twice as large than the smaller one. So 3 x 2 = 6 and 11 / 2 = 5.5
B
Hope this helps :)
Can I have Brainliest please
Answer:
The coefficient is equal to ![4](https://tex.z-dn.net/?f=4)
Step-by-step explanation:
we have
![(-\frac{2}{3}x)(3y)(-2x)](https://tex.z-dn.net/?f=%28-%5Cfrac%7B2%7D%7B3%7Dx%29%283y%29%28-2x%29)
we know that
The coefficient is equal to
![(-\frac{2}{3})(3)(-2)=4](https://tex.z-dn.net/?f=%28-%5Cfrac%7B2%7D%7B3%7D%29%283%29%28-2%29%3D4)
so
![(-\frac{2}{3}x)(3y)(-2x)=4x^{2}y](https://tex.z-dn.net/?f=%28-%5Cfrac%7B2%7D%7B3%7Dx%29%283y%29%28-2x%29%3D4x%5E%7B2%7Dy)
Answer:
y= -1x+7
Step-by-step explanation:
I believe this is the correct answer. The graph starts at 7 which is the y-intercept. And starts declining my -1