If you would like to know how many minutes will it take you to mow a lawn that measures 6000 square feet, you can calculate this using the following steps:
800 square feet ... 15 minutes
6000 square feet ... M minutes = ?
800 * M = 15 * 6000
M = 15 * 6000 / 800
M = 112.5 minutes
This will take 112.5 minutes.
Answer:
We know that the equation of the circle in standard form is equal to <em>(x-h)² + (y-k)² = r²</em> where (h,k) is the center of the circle and r is the radius of the circle.
We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :
1 - We first group terms with the same variable :
(x²+8x) + (y²+22y) + 37 = 0
2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)
(x²+8x) + (y²+22y) = - 37
3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process <u><em>"completing the square"</em></u>.
x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²
y²+22y = (y²+22y+11²)-11² = (y+11)²-11²
4 - We plug the new values inside our equation :
(x+4)² - 4² + (y+22)² - 11² = -37
(x+4)² + (y+22)² = -37+4²+11²
(x+4)²+(y+22)² = 100
5 - We re-write in standard form :
(x-(-4)²)² + (y - (-22))² = 10²
And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)
Answer:
Step-by-step explanation:
You need to find the HCF of 36 and 90.
<u>Prime factors of each:</u>
<u>HCF includes all prime factors of both numbers:</u>
- HCF(36, 90) = 2*2*3*3*5 = 180
Im sorry if I misunderstood the problem but heres my take.
Answer:
1155 for the cost of the people and 1250 for the total including the $95
Step-by-step explanation:
Multiply it ( 77 x 15 )
then add the answer to the $95 ( 95 + N )
= $N
-- Subtract K from each side of the equation.
8/5 = 0
-- There is no value for K that can make this a true statement. So the original equation has no solution.
