X^2 + 6x+8 (factoring, setting factor = to 0 and solve for roots)

x = -4, -2

Step-by-step explanation:

Key skills needed: Quadratics, Factoring, Solving for Roots

1) We are given : and we need to solve for the roots.

2) You have to factor.

You need to find what factors of 8 add up to 6.

The factors of 8 are --> 1,2,4,8

The 2 factors that add up to 6 and multiply to equal 8 are --> 2 & 4

3) This means it would become ---> .

4) Set x + 4 = 0 and get x = -4 as one root

Set x + 2 = 0 and get x = -2 as another root.

The 2 roots are -4, and -2

Hope you understood and have a nice day!! :D

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.

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet