Find the equation of the line in slope intercept form parallel to 5x−5y=−2 and goes through the point (−10,4) y=?

y = x + 14

Step-by-step explanation:

given

5x−5y=−2, we'll rearrange this into slope - intercept form

5x + 2 = 5y

5y = 5x + 2    (divide both sides by 5)

y = x + (2/5)

recall that the general equation of the slope-intercept form of a linear equation:

y = mx + b, the value of m represents the slope of the line

in our case, comparing the above equations, it is clear that the slope m = 1.

We are given that our line is parallel to the above line, hence it will also have  a slope of 1.

if we substitute m = 1 into the general equation, we will get

y = x + b

in order to find the value of b, we will substitute the given point (-10,4) into the equation:

4 = -10 + b   (add 10 to both sides)

b = 4 + 10

b = 14

hence our equation is y = x + 14

use formula for the circle a=3.14

step-by-step explanation:

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.