Answer:
and 
Step-by-step explanation:
Given
See attachment for complete question
Required
Determine the equilibrium solutions
We have:


To solve this, we first equate
and
to 0.
So, we have:


Factor out R in 

Split
or 
or 
Factor out W in 

Split
or 
Solve for R


Make R the subject


When
, we have:




Collect like terms

Solve for W




When
, we have:



Collect like terms

Solve for R


So, we have:

When
, we have:





So, we have:

Hence, the points of equilibrium are:
and 
Answer: y= 9x -5
Step-by-step explanation:
Step-by-step explanation:
a) The measure of angle 7 is also 47 degrees. We know this because angle 5 and angle 7 are vertical angles and vertical angles are always equal.
b and c) Since we know that a straight line has an angle of 180 degrees and that the sum of angle 5 and angle 6 will add to this, we can use that to find the value of x like this:

Given:
A rectangular greeting card uses a geometric design containing 4 congruent kites.
Consider the below figure attached with this question.
Length of card = 8 inches
Width of card = 4 inches
To find:
The area of one kite.
Solution:
The kites are connected to each other as shown below.
The length of a kite is:
inches
The width of a kite is:
inches
Area of a kite is:

Where,
are diagonals of the kite.
Length and width of a kite are 4 inches and 2 inches respectively. So, the diagonals of a kite are 4 inches and 2 inches.
Using the above formula, we get


The area of a kite is 4 sq. in.
Therefore, the correct option is A.