Answer:
The diameter d of the sphere as a function of the radius is given by

Step-by-step explanation:
Given:
The volume of the sphere as a function of its radius is given by

Function:
A function is like a machine that gives an output for a given input.
A function has an independent variable which is called the input of the function.
The output for a given input is called the dependent variable.
Here. 'r' is the radius of a sphere independent variable
d(r) is the function dependent variable i.e Diameter as a function of radius as an output.
∴ d ( r ) = 2 r
Answer:
This will cost $16.20. $3.60*$4.5=$16.20
Step-by-step explanation:
Lets just say the number is equal to x.
-1(2x+3)=2*(-4x-3)
Distribute on both sides
-2x-3=-8x-6
Add 3 to both sides
-2x=-8x-6
Add 8x to boths sides
6x=-6
Divide Both Sides by -1
x=-1
The numbers is -1.
Answer:
34.6 units
Step-by-step explanation:
The lenght of fencing required is the total distance between point A to B, B to C, C to D, and D to A. That is the distance between all 4 corners of the meadow.
The coordinates of the corners of the meadow is shown on a coordinate plane in the attachment. (See attachment below).
Let's use the distance formula to calculate the distance between the 4 corners of the meadow using their coordinates as follows:
Distance between point A(-6, 2) and point B(2, 6):

Let,





(nearest tenth)
Distance between B(2, 6) and C(7, 1):

Let,





(nearest tenth)
Distance between C(7, 1) and D(3, -5):

Let,





(nearest tenth)
Distance between D(3, -5) and A(-6, 2):

Let,





(nearest tenth)
Length of fencing required = 8.9 + 7.1 + 7.2 + 11.4 = 34.6 units
Answer:
I think it goes like this:
4x+5x=180
9x=180
x=180:9
x=20
Step-by-step explanation: