Answer:
37
Step-by-step explanation:
13 blue
24 green
<em>Step #1: </em>
Make sure the equation is in the form of [ Ax² + Bx + C = 0 ].
Yours is already in that form.
A = 1
B = 2
C = -2
<em>Step #2:</em>
The 'discriminant' for that equation is [ B² - 4 A C ].
That's all there is to it, but it can tell you a lot about the roots of the equation.
-- If the discriminant is zero, then the left side of the equation is a perfect square,
and both roots are equal.
-- If the discriminant is greater than zero, the the roots are real and not equal.
-- If the discriminant is less than zero, then the roots are complex numbers.
The discriminant of your equation is [ B² - 4 A C ] = 2² - 4(1)(-2) = 4 + 8 = 12
Your equation has two real, unequal roots.
Answer:
208.6 gal/min
Step-by-step explanation:
For 2" pipe,
Given Volume = 463.2 gal, time = 12 min
flow rate for 2" pipe
= Volume ÷ time
= 463.2÷12
= 38.6 gal/min
For 4" pipe,
Given Volume = 1730.4 gal, time = 7 min
flow rate for 4" pipe
= Volume ÷ time
= 1730.4÷7
= 247.2 gal/min
Difference in flow rate = 247.2 - 38.6 = 208.6 gal/min
Answer:
580
Step-by-step explanation:
I wanted to use the Pythagoras theory but I noted that they've given us the hypotenuse which is 8.6 they have already given us the height is 7 and the base is 5 when you use the Pythagoras theory you'll find that there hypotenuse is 8.6 that's why I wrote forget it there's no need of finding the base and the height for the other triangle just transfer 7 and 5 then calculate the volume I guess I got the answer is 580 hope it helps you good day.
D:devaughn
S:sydney
D+S=83. First equation
D=S-9. Second equation
D-S=-9
Add 2 equations
D+S+D-S=83-9
2D=74
D=37
Devaughn is 37 years old
So
D+S=83
37+S=83
S=46
Sydney is 46 years old