Answer:
(x - 2)² + (y + 7)² = 64
(fourth option listed / option D)
Step-by-step explanation:
as you likely know, the equation of a circle (centered at origin) is x²+y²=r²
now, let's say we want to write this using the center (the origin), it could look like this:
(x - 0)² + (y - 0)² = r²
(the center is 0,0)
[we write this in parentheses when we are shifting the location of a point--similar to when we move a line on a graph]
We can use this for any center, and we write our circle equation as:
(x - h)² + (y - k)² = r²
(h, k) is the center
So, let's apply the information we know
our (h, k) is (2, -7)
so let's fill that in:
(x - h)² + (y - k)² = r²
(x - 2)² + (y - -7)² = r² (simplify)
(x - 2)² + (y + 7)² = r²
now, we also know that our "r" <em>(r is the radius)</em> is 8, so let's fill that in too:
(x - 2)² + (y + 7)² = r²
(x - 2)² + (y + 7)² = 8² (simplify)
(x - 2)² + (y + 7)² = 64
So, we have found the equation of our circle to be:
(x - 2)² + (y + 7)² = 64
hope this helps! (and hope this makes sense) have a lovely day :)
Answer:
Perimeter of the windows is P = 4s, or (here) P = 4(x+9) ft.
Step-by-step explanation:
If the area of the square is x^2 + 18x + 81 (ft^2), then the length of one side is given by the square root of that, and is x + 9 (ft). Note that (x + 9)^2 = x^2 + 18x + 81.
The perimeter of a square window of side length s is P = 4s.
Here, the perimeter of the square is P = 4(x+9) (ft).
Answer:
66 gallons
Step-by-step explanation:
Given that initially 160 gallons of a solution containing 12% salt.
So, the initial amount of salt = 12% of 160 = 12/100 x 160 = 19.2 gallons.
Let x gallons of water get evaporated so that the remaining solution contains 20% salt.
The remaining amount of solution = 160-x gallons.
As the initial amount of salt is still in the solution which is equal to 20% of the remaining solution, so
19.2 = 20% of (160-x)
gallons
Hence, 66 gallons of water must be evaporated to get a 20% salt solution.
The employee's gross pay
$726.80
Answer:
<h2>One of them i believe is 2 (3+4m) and another one is 6+8m</h2>
Step-by-step explanation: so for the first one you have your equation 18+4(m-3)+4m you take the second part and do 2(9+2(m-3)+2m) then after that you get 2(9+2m-6+2m) and you get you first answer 2(3+4m)
Your second probelm 6+8m you have your equation 18+4(m-3)+4m you do 18+4m-12+4 and you subtract all th likes terms so you get 6+8m
Hope this helps!
