<span> -1/4 (-6/11)
To find the product, all you have to do is multiply the numerator by the other numerator and the denominator by the other denominator
6/44
Simplify
Final Answer: 3/22
*Note: Whenever you multiply or divide a negative number by another negative number, it automatically becomes a positive number.</span>
Answer:
1596.2 ft/m
Step-by-step explanation:
<u>Data</u>
- height of water, h = 11 ft
- acceleration of gravity, g = 32.17 ft/s²
Given that 60 seconds are equivalent to 1 minute:
g = 32.17 ft/s² * 60² s²/1 min² = 115812 ft/min²
From Bernoulli's theorem:
velocity = √(2gh)
velocity = √(2*115812*11)
velocity = 1596.2 ft/m
First we find the vertex of parabola
The vertex of parabola is
Here,
b = coefficient of x term
a = coefficient of x² term
For given parabola, b = 0 , a = -12
So,
And,
Thus the vertex of parabola is (0, 7)
To find another point on parabola, substitute x by 1.
So the second point on parabola is (1,-5)
The plot of parabola is shown in image below:
First consider (x+c)^2 where c is just a random constant. if we expand this by foil (which is distributive property twice), we get x^2 + 2cx+ c^2. we want to find c^2 and to do that, we can first find c. we can find c by looking at the 2cx term. this term should match with 12x, so therefore 2c = 12 so c = 6. this also implies that c^2 = 36.
note that for this problem i was working backwards which is a very powerful problem solving tool: start with what you want to attain, and then see how you can go from where you are now to get to your destination.
let me know if you have any questions!!!
