For the triangle it is given that AE2 + EB2 = 9 and BE2 + EC2 = 16
Find AC =

Step-by-step explanation:Given :  right triangle ABC  ,  AE^2 + EB^2 =9 and BE^2 + EC^2 = 16

To find : AC

Solution:

BE ⊥  AC

∠AEB = 90°

=> ΔAEB is right angled

=> AB² = AE² + EB²

=> AB² =  9

∠BEC = 90°

=> ΔBEC is right angled

=> BC² = BE² + EC²

=> BC² =  16

∠ABC = 90°

=> AC² = AB² + BC²

=> AC² = 9 + 16

=> AC² = 25

=> AC = 5

AC = 5

step-by-step explanation:

. your answer will contain x - and y -terms. (1 point) x ( ¿¿ 2 − 7 ) 2 +( y 2 − 9 ) 2 √ ¿ 12. what is the distance from the directrix (the crocodile river) to the point ( x , y )? write this equation. your answer will contain a y -term.

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.