Givens
The equation is miles = rate of travel * hours.
Let the rate of travel = k
Let the miles = y
Let the number of hours = x
Equation
y = k*x Is the answer that you seek <<<<<Answer
It would cost $72 dollars to cover the larger garden
Answer: x=100$
Step-by-step explanation:
use the slope formula
y=mx+b
plug in what you have
y=2400, m=22.50x, b=150
solve for x
2400=22.50x+150
subtract 150 from both sides
2250=22.50x
divide 22.50 x from both sides
x=100 people
don't forget your units :)
Answer:
r = ![\sqrt{11}](https://tex.z-dn.net/?f=%5Csqrt%7B11%7D)
Step-by-step explanation:
So we need to complete the square for both parts of the equation
First though we can add the 6 to the other side so we have x² + 2x + y² + 4y = 6
So first we can complete the square for x² + 2x
To do so we need to use
to figure out the number we need to add to both sides
In this case our b is 2, so substituting this in we get ![(\frac{2}{2} )^{2} =(1)^{2} =1](https://tex.z-dn.net/?f=%28%5Cfrac%7B2%7D%7B2%7D%20%29%5E%7B2%7D%20%3D%281%29%5E%7B2%7D%20%3D1)
Here we add 1 to both sides and now we have x² + 2x + 1 + y² + 4y = 6 + 1
Now we can follow the same steps to complete the square for y² + 4y
Here our b is 4, so substituting this in we get ![(\frac{4}{2} )^{2}=(2)^{2} =4](https://tex.z-dn.net/?f=%28%5Cfrac%7B4%7D%7B2%7D%20%29%5E%7B2%7D%3D%282%29%5E%7B2%7D%20%3D4)
Now we add 4 to both sides and now we have x² + 2x + 1 + y² + 4y + 4 = 6 + 1 + 4
Now condensing everything we have (x + 1)² + (y + 2)² = 11
The formula for a circle is (x - h)² + (y - k)² = r²
In our equation we have r² = 11
To find the radius we need to take the square root of both sides
to get r = ![\sqrt{11}](https://tex.z-dn.net/?f=%5Csqrt%7B11%7D)
the answer i got was 50,000
if its not right i can try to figure it out again