In the distant future, two space travelers, Jeff and Jane, are approaching Planet Tuvok which orbits another star in our Milky Way Galaxy. Planet Tuvok is similar to Mars and has a circumference of 29,300 km. There is a terrible accident on their spacecraft, so our space travelers get into escape pods, and end up separated from each other, on the surface of Tuvok. Once on the surface, they talk to each other via subspace communicators. Jane tells Jeff that from her location, at the tip of a kite shaped constellation, she can see a bright blue star due South, 30.0 degrees above her southern horizon. Jeff says that he can see the same star, also due South, but it is 45.0 degrees above his southern horizon. How far away from each other are Jeff and Jane? Please give your answer in kilometers, and explain all of your calculations. No credit will be given for a number with no explanation!

u dumb boi

step-by-step explanation:

step-by-step explanation:

b and c

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1