Answer:
67
Step-by-step explanation:
Hello!

Recall that the transformations form of a parabola is:
f(x) = ±a(b(x-h)) + k where:
a = vertical stretch/compression
b = horizontal stretch/compression
h = horizontal shift, x-coordinate of vertex
k = vertical shift, y-coordinate of vertex
In this instance, the parent function is f(x) = 3x^2. There is a vertical stretch of 3.
However, there is a point (7, -2) that needs to be included. Substitute these values into the transformation formula:
h = 7
k = -2
f(x) = 3(x - 7)² - 2 is the equation with (7, -2) as the vertex.
The circumference of the smaller circle is
.
The given parameters:
- Radius of the larger circle = x
- Radius of the smaller circle = ¹/₃ x
The circumference of the smaller circle is calculated as follows;
![C = 2\pi r\\\\C = 2\pi (\frac{x}{3} )\\\\C = [\frac{2\pi}{3} ]x \ units](https://tex.z-dn.net/?f=C%20%3D%202%5Cpi%20r%5C%5C%5C%5CC%20%3D%202%5Cpi%20%28%5Cfrac%7Bx%7D%7B3%7D%20%29%5C%5C%5C%5CC%20%3D%20%5B%5Cfrac%7B2%5Cpi%7D%7B3%7D%20%5Dx%20%5C%20units)
Thus, the circumference of the smaller circle is
.
Learn more about circumference of circle here: brainly.com/question/9782777
Answer: D 30 meters
Step-by-step explanation:
5 multiplied by 6 is 30
Answer:
Step-by-step explanation:
multiply both sides by 3x
3[x+40]x[x+40]
3x +120+x(square)+40x
43x+120+x(square)
quadractic equation
x(square)+43x+120
(x+40x+)(3x+120)
x(1+40)3(1+40)
x:3 or 40