can this be worked

1 of 3 DUE DATE: Chapter 7 - Distance and Midpoint Formulas and the Pythagorean Theorem Distance Formula Midpoint Formula Pythagorean Theorem d = (x2 - x1)2 + ()2 - 1)2 Xitxz Vityz a2 + 62 = c2 Star Trek Holodeck: In a holodeck simulation, the Starship Enterprise at point A is traveling to meet the Excelsior Transport Ship at point B. The ship at point B is transporting an alien ambassador who must board the Enterprise but cannot use the transporter. The ships have agreed to meet at the midpoint of the line segment connecting the two ships' current positions. 10 a) Find the holodeck grid coordinates of the meeting location? Which of the formulas above is useful? Ship A (7,4) Ship B 0 00 (9,-1) -106-8 -6 -2 18 10 -2 -6 8 -10L b) Find the holodeck distance between the ships' current 1 grid unit = 400 miles positions, to the nearest hundredth of a grid unit. c) The distance found in part (b) is measured in grid units, not miles. If each grid unit in the holodeck represents 400 actual miles, find the distance to the nearest mile between the ships' current positions. Use your rounded answer from (b). The Pythagorean Theorem states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the two remaining sides. It is important to remember that the theorem applies only to right triangles. It is also helpful to note that c (the hypotenuse) must be the longest side. Cutting down a tree: You need to remove a tree from your front yard. You have climbed the tree and trimmed off the branches, and you are now ready to chop down the trunk. It is very important that the tree falls in the right direction... away from your house. You have attached a wire to the top of the trunk. You will attach the other end of the wire to the ground and pull it tightly so that when the trunk begins to fall, the wire will pull it in the right direction. The trunk is 24 feet tall and you are going to attach the wire to the ground 10 feet away from the base of the trunk. a) How long must your wire be to reach the ground? b) What assumption about the tree and the ground did we need to make here? Why did we need to make it