The answer is Y+ 1/2=3(x-2)
We have the following equation:
x2 + y2 + 42x + 38y - 47 = 0
We rewrite the equation:
x2 + 42x + y2 + 38y - 47 = 0
x2 + 42x + y2 + 38y = 47
Rewriting we have:
x2 + 42x + (42/2) ^ 2 + y2 + 38y + (38/2) ^ 2 = 47 + (42/2) ^ 2 + (38/2) ^ 2
x2 + 42x + 441 + y2 + 38y + 361 = 47 + 441 + 361
Rewriting we have:
(x + 21) ^ 2 + (y + 19) ^ 2 = 849
The center of the circle is:
(x, y) = (-21, -19)
The radio is:
r = root (849)
r = (849) ^ 2
A circle of the same radius is given by:
x ^ 2 + y ^ 2 - 50x - 30y + 1 = 0
Let's check:
x ^ 2 - 50x + y ^ 2 - 30y + 1 = 0
x ^ 2 - 50x + y ^ 2 - 30y = - 1
x ^ 2 - 50x + (-50/2) ^ 2 + y ^ 2 - 30y + (-30/2) ^ 2 = - 1 + (-30/2) ^ 2 + (-50/2) ^ 2
x ^ 2 - 50x + (-50/2) ^ 2 + y ^ 2 - 30y + (-30/2) ^ 2 = - 1 + 225 + 625
(x-25) ^ 2 + (y-15) ^ 2 = 849
Answer:
(x + 21) ^ 2 + (y + 19) ^ 2 = 849
(x, y) = (-21, -19)
r = (849) ^ 2
x ^ 2 + y ^ 2 - 50x - 30y + 1 = 0
Answer:
Step-by-step explanation:
In this problem we have a exponential function of the form
where
x is the time in hours
y is the numbers of bacteria
a is the initial value
b is the base
r is the rate of growth
b=(1+r)
we have that
For x=8, y=3,300
substitute in the exponential function
solve for b
![b=\sqrt[8]{1.1}](https://tex.z-dn.net/?f=b%3D%5Csqrt%5B8%5D%7B1.1%7D)
Find the value of r
The equation is equal to
For x=12 hours
substitute the value of x in the equation
Answer:
length= 24 inches
width= 7 inches
Step-by-step explanation:
Start by writing down what you know.
width= w
length= 3w+3
Then, we can substitute into the perimeter of a rectangle equation, P=2l+2w.
62= 2(3w+3) + 2(w)
62=6w+6+2w
62=8w+6
56=8w
7=w
Now, plug this into our original equations for length and width:
width=7
length= 3(7)+3, so 24
