Answer:
C≈402.12in
Step-by-step explanation:
The circumference of a circle is equal to pi times the diameter. The diameter is two times the radius, so the equation for the circumference of a circle using the radius is two times pi times the radius
The point slope form of equation through given points is:

Step-by-step explanation:
Given points are:
(x1,y1) = (-5,4)
(x2,y2) = ((1,6)
First of all we have to find the slope of line
So,

Point-slope form is given by:

Putting m=1/3

Putting (1,6) in the equation

The point slope form of equation through given points is:

Keywords: Point slope form
Learn more about point slope form at:
#LearnwithBrainly
189 because you have to multiply by 3 twice.
The answer is 471 feet.
If A = man to left of balloon
<span>B = balloon </span>
<span>C = man to right of balloon </span>
<span>∠BAC = 75°20' </span>
<span>∠BCA = 49°30' </span>
<span>∠ABC = 180 - 75°20' - 49°30' = 55°10' </span>
<span>AB = 400 ft </span>
<span>Now we have to find the value of x, which is the side opposite to angle of 75°20' </span>
<span>Using Law of Sines: </span>
<span>x/sin(75°20') = 400/sin(55°10') </span>
<span>x = 400 * sin(75°20') / sin(55°10') </span>
<span>x = 471.44 </span>
<span>x = 471 ft </span>
Answer:
<em>The solution is too long. So, I included them in the explanation</em>
Step-by-step explanation:
This question has missing details. However, I've corrected each question before solving them
Required: Determine the inverse
1:

Replace f(x) with y

Swap y & x



Divide through by 25


Replace y with f'(x)

2. 
Replace g(x) with y

Swap y & x


Add 1 to both sides


Make y the subject


3: 
Replace h(x) with y

Swap y & x

Add
to both sides


Multiply through by -4


Divide through by 9





4:

Replace f(x) with y

Swap y with x

Take 9th root


Replace y with f'(x)

5:

Replace f(a) with y

Swap a with y

Subtract 8


Take cube root
![\sqrt[3]{a-8} = y](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Ba-8%7D%20%3D%20y)
![y = \sqrt[3]{a-8}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7Ba-8%7D)
Replace y with f'(a)
![f'(a) = \sqrt[3]{a-8}](https://tex.z-dn.net/?f=f%27%28a%29%20%3D%20%5Csqrt%5B3%5D%7Ba-8%7D)
6:

Replace g(a) with y

Swap positions of y and a


Solve using quadratic formula:

;
; 
becomes




Factorize




7:

Replace f(b) with y

Swap y and b

Open Brackets



Solve using quadratic formula:

;
; 
becomes


Factorize:





Replace y with f'(b)

8:

Replace h(x) with y

Swap x and y

Cross Multiply


Subtract x from both sides:


Subtract 2y from both sides

Factorize:

Make y the subject

Replace y with h'(x)

9:

Replace h(c) with y

Swap positions of y and c

Square both sides

Subtract 2 from both sides

Make y the subject


10:

Replace f(x) with y

Swap positions of x and y

Cross Multiply


Subtract y from both sides


Add x to both sides


Factorize

Make y the subject

Replace y with f'(x)
