The image of the dilation is shown below, with the centre of dilation (0,0) and scale factor of 3
The coordinate of C' is (6, -3) which is three times of the coordinate of C(2, -1)
The axis of symmetry of this function is x = 1. I hope this helps!
Step-by-step explanation:
First we need to set up an equation so
12.50=4x+2.50
Simplify each side by subtracting the initial fee of 2.50
10=4x
divide by 4 to isolate x
2.5=x
You can park for 2.5 hours with your budget
Answer:
Volume = 16 unit^3
Step-by-step explanation:
Given:
- Solid lies between planes x = 0 and x = 4.
- The diagonals rum from curves y = sqrt(x) to y = -sqrt(x)
Find:
Determine the Volume bounded.
Solution:
- First we will find the projected area of the solid on the x = 0 plane.
A(x) = 0.5*(diagonal)^2
- Since the diagonal run from y = sqrt(x) to y = -sqrt(x). We have,
A(x) = 0.5*(sqrt(x) + sqrt(x) )^2
A(x) = 0.5*(4x) = 2x
- Using the Area we will integrate int the direction of x from 0 to 4 too get the volume of the solid:
V = integral(A(x)).dx
V = integral(2*x).dx
V = x^2
- Evaluate limits 0 < x < 4:
V= 16 - 0 = 16 unit^3
