Answer:
Step-by-step explanation:
In order to find the equation of the line tangent to that circle, we have to find the derivative by implicit differentiation which will give us the slope formula of that tangent line. Let's begin by expanding through the parenthesis to get the standard form of the circle:

Moving the 9 to the other side since the derivative of a constant is 0 gives us

By implicit differentation, the derivative of that function is

To find the derivative, we have to solve for dy/dx:

Factor out the dy/dx to get:

Now divide to get your slope formula (first derivative):

Now we can sub in the x and y values from the coodinate to get the slope of that tangent line:

So now that have the slope, we can use the point-slope form of a line to write the equation of the tangent line. The point-slop form of a line is:
y-y₁ = m(x-x₁)
Filling in we get:
y - 0 = 5/3(x - 5) so the equation of the tangent line is:

Good luck in your calculus class!
Answer:
B
Step-by-step explanation:
Because the number of degrees in a triangle is 180 degrees so x = 180 - (45 + 60) = 75. Now w + 75 = 180 , therfore w = 105 degrees.
9514 1404 393
Answer:
b ≈ 2.7
Step-by-step explanation:
The missing angle A is ...
A = 180° -53° -80° = 47°
The law of sines tells you ...
b/sin(B) = a/sin(A)
b = sin(80°)×2/sin(47°) ≈ 2.6931
Side b is about 2.7 units.
the second one, and the third one
I think its B but ima have to check again and get back to you