Positions on earth are defined by their longitude (how far east or west you are) and latitude (how far north or south you are). both latitude and longitude are angles. a nautical mile is one minute of degree of longitude along the equator. (a nautical mile is a little more than a regular mile.) traveling at xx knots means traveling at xx nautical miles per hour. suppose you fly in a lockheed sr-71 (the fastest jet ever built) along the equator at a speed of 1,800 knots (roughly the top speed of the sr-71). ignoring issues of refueling and such, it takes you equation editorequation editor hours to fly once around the world. you leave after breakfast and are back in time for a late dinner. some airplane!

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

1. supplementary angles

2. acd and bcd

step-by-step explanation: