Hello, I was wondering if anyone could help me with this problem ASAP. Thanks The question says The weight of an object w varies inversely as the square of its distance from the center of the earth d. When an astronaut stands in a training center on the surface of the earth (3960 miles from the center), she weighs 155 pounds. to the nearest tenth of a pound, what will be the approximate weight of the astronaut when she is standing on the space station, in orbit 240 miles above the training center.
Choices.
A. 174.4 pounds
B. 164.4 pounds
C. 146.1 pounds.
D. 137.8 pounds

answer: 457.14

step-by-step explanation:

205 - 45 = 160

160 / .35 = 457.142857

the 4th choice is the correct one

step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3