Line segment gt contains the point g(−3, 5) and a midpoint at a(1, −4). what is the location of endpoint t?

Imagine you're moving along the segment. Since the midpoint is in the middle of the segment (obviously), it means that when you've traveled from G to A, you're halfway through your journey, along both x and y directions. So, let's break the problem in two and analyze both directions.

Along the x axis, you've moved from -3 to 1, so you moved 4 units forward. This means that you have 4 units still to go, and your journey will end at coordinate 5.

Similarly, along the y axis, you've moved from 5 to -4, so you moved 9 units downward. This means that you have 9 units still to go, and your journey will end at coordinate -13.

So, the coordinates of the endpoint are

If you prefer a more analyitical approach, simply write the definition of the midpoint and solve it for the coordinates of T.

We have and . The midpoint is computed as

So, you have the equations

Multply both equations by 2 to get

Move the constants to the right hand sides to get

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.

the diver is 33 feet below the surface.

step-by-step explanation:

hope this