If a graph fails the vertical line test it's not a function; you can't have a single x map to two ys.
Vice versa, if the graph passes the verticle line test, it's a function.
The horizontal line test tests for injectivity aka one-to-one-ness; it has no bearing on whether something's a function.
Answer:
Distance between two cities is 193.94 miles.
Step-by-step explanation:
We have,
Madison and Wisconsin have latitudes 43.0731°N and 45.9172°N respectively.
Thus, their difference is 45.9172°N - 43.0731°N = 2.8441°
We assumed, the diameter of earth is 7917.5 miles.
So, the radius =
= 3958.75 miles
So, using the cosine formula, we have,
![a^{2}=b^{2}+c^{2}-2bc\cos A](https://tex.z-dn.net/?f=a%5E%7B2%7D%3Db%5E%7B2%7D%2Bc%5E%7B2%7D-2bc%5Ccos%20A)
i.e. ![a^{2}=3958.75^{2}+3958.75^{2}-2\times 3958.75\times \cos 2.8441](https://tex.z-dn.net/?f=a%5E%7B2%7D%3D3958.75%5E%7B2%7D%2B3958.75%5E%7B2%7D-2%5Ctimes%203958.75%5Ctimes%20%5Ccos%202.8441)
i.e. ![a^{2}=31343403.13\times 0.0012](https://tex.z-dn.net/?f=a%5E%7B2%7D%3D31343403.13%5Ctimes%200.0012)
i.e. ![a^{2}=37612.08](https://tex.z-dn.net/?f=a%5E%7B2%7D%3D37612.08)
i.e. a= 193.94 miles.
Hence, the distance between two cities is 193.94 miles.
Answer:
AB = ![\sqrt{20}](https://tex.z-dn.net/?f=%5Csqrt%7B20%7D)
Step-by-step explanation:
calculate the distance using the distance formula
d = ![\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E2%2B%28y_%7B2%7D-y_%7B1%7D%29%5E2%20%20%20%20%7D)
with (x₁, y₁ ) = B (3, 2 ) and (x₂, y₂ ) = A (7, 4 )
AB = ![\sqrt{(7-3)^2+(4-2)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%287-3%29%5E2%2B%284-2%29%5E2%7D)
= ![\sqrt{4^2+2^2}](https://tex.z-dn.net/?f=%5Csqrt%7B4%5E2%2B2%5E2%7D)
= ![\sqrt{16+4}](https://tex.z-dn.net/?f=%5Csqrt%7B16%2B4%7D)
= ![\sqrt{20}](https://tex.z-dn.net/?f=%5Csqrt%7B20%7D)
≈ 4.47 ( to 2 dec. places )
Answer:
Y=2x-6
Which is d
Step by step explanation: