The equation of a circle is: (x - h)² + (y - k)² = radius² where (h, k) is the center. Now just plug in your given information and simplify.
(x - 2)² + (y - 0)² = 9²
Your equation is:
(x - 2)² + y² = 81
Yay, implicit differnentiation
when you take the derivitive of y, you multiply it by dy/dx
example
dy/dx y^2=2y dy/dx
for x, the dy/dx dissapears
ok
so differnetiate and solve for dy/dx
3y² dy/dx-(y+x dy/dx)=0
expand
3y² dy/dx-y-x dy/dx=0
3y² dy/dx-x dy/dx=y
dy/dx (3y²-x)=y
dy/dx=y/(3y²-x)
so at (7,2)
x=7 and y=2
dy/dx=2/(3(2)²-7)
dy/dx=2/(3(4)-7)
dy/dx=2/(12-7)
dy/dx=2/5
answer is 2/5
Answer:
the answer is B
Step-by-step explanation:
Answer:
-74.
Step-by-step explanation:
First, notice that we can divide it into 2 equations (1 on each side of the equal symbol).
<h3>1st step:</h3>
Replace where's x by -2 in the left equation:

<h3>2nd step:</h3>
Now, we will replace the squares with 16 in the second equation. Look:

So, the answer is -74.
<h2>We also can solve it in another way:</h2>

Now let's call the gray square as y in the second equation:

So, your final answer is -74.
Hope it helps! :D