What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y=−23x+5y=−23x+5 ? enter your answer in the box?

Step-by-step explanation:

We have been given an equation . We are asked to find the equation of line perpendicular to our given equation and passes through point (8,1).

We know that the slope of a perpendicular line to a given line is negative reciprocal of the slope of given line. So the slope of perpendicular line to the line will be negative reciprocal of .

Upon substituting and coordinates of point (8,1) in slope intercept form of equation we will get,

Therefore, the equation represents the equation of line perpendicular to our given line.

step-by-step explanation:

12475909

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.