Answer:
Step-by-step explanation:
Given - The circumference of the ellipse approximated by 
where 2a and 2b are the lengths of 2 the axes of the ellipse.
To find - Which equation is the result of solving the formula of the circumference for b ?
Solution -
Squaring Both sides, we get
![[\frac{C}{2\pi }]^{2} = [\sqrt{\frac{a^{2} + b^{2} }{2} }]^{2} \\\frac{C^{2} }{(2\pi)^{2} } = {\frac{a^{2} + b^{2} }{2} }\\2\frac{C^{2} }{4(\pi)^{2} } = {{a^{2} + b^{2} }](https://tex.z-dn.net/?f=%5B%5Cfrac%7BC%7D%7B2%5Cpi%20%7D%5D%5E%7B2%7D%20%20%20%3D%20%20%5B%5Csqrt%7B%5Cfrac%7Ba%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%7D%7B2%7D%20%7D%5D%5E%7B2%7D%20%5C%5C%5Cfrac%7BC%5E%7B2%7D%20%7D%7B%282%5Cpi%29%5E%7B2%7D%20%20%7D%20%20%20%3D%20%20%7B%5Cfrac%7Ba%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%7D%7B2%7D%20%7D%5C%5C2%5Cfrac%7BC%5E%7B2%7D%20%7D%7B4%28%5Cpi%29%5E%7B2%7D%20%20%7D%20%20%20%3D%20%20%7B%7Ba%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%7D)
∴ we get
C) x = -19/10 because when solving it with substitution u get x=-19/10 & y=153/10
Answer:
an=5n-4
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Given that U is the midpoint of TV, then
TU = UV , substitute values
8x + 11 = 12x - 1 ( subtract 12x from both sides )
- 4x + 11 = - 1 ( subtract 11 from both sides )
- 4x = - 12 ( divide both sides by - 4 )
x = 3
Thus
TU = 8(3) + 11 = 24 + 11 = 35
UV = 12(3) - 1 = 36 - 1 = 35
