Line segment ab has endpoints a(7, 4) and b(2, 5). find the coordinates of the point that divides the line segment directed from a to b in the ratio of 1: 3.

Step-by-step explanation:

We have been given that line segment AB has endpoints A(7, 4) and B(2, 5). We are asked to find the coordinates of the point that divides the line segment directed from A to B in the ratio of 1:3.

To solve our given problem we will use section formula.

Section formula states, when a point P divides a line segment AB internally in ratio m:n, so the coordinates of point P are:

Let , , .

Upon substituting coordinates of our given points in section formula we will get,

Therefore, the coordinates of point that divides the line segment AB in the ratio 1:3 are .

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

if you need just tell me and i will come to the rescue.

step-by-step explanation: