Answer:
The polynomial is:
12 m² - 11 m n + 2 n².
Step-by-step explanation:
( 3 m - 2 n ) · ( 4 m - n ) =
= 12 m² - 3 m n - 8 m n + 2 n² = 12 m² - 11 m n + 2 n²
Answer:
The polynomial is:
12 m² - 11 m n + 2 n².
For the table, we can count the circles that appear in each step of the fractal. The center is a single circle and is step 0. Step 1 sees 4 circles grow off of that one circle. Step 2 sees 4 circles grow off of each of these circles. Therefore the table should be:
Step 0 : 1 circle
Step 1 : 4 circles
Step 2 : 16 circles
Step 3: 64 circles
Using this table, we can solve the second part. This function is exponential growth and each step is a multiple of 4. Therefore, the function is

.
The apothem is the distance from the center to the midpoint of one of the sides of a regular polygon. You can make a right triangle with the apothem, the line from the midpoint to the corner and the line from the center to the corner. An equilateral triangle has 60 degree angles (180/3). The right triangle has half of one of those angles so 30 degrees. Now we have a 30-60-90 triangle where the short leg is 5cm. The long leg, which is also half of one side of the triangle is thus

. A whole side of the triangle is

. Multiply that by 3 to get the perimeter of <span>

.</span>
Get x on its own side
7+x-15=2 2/3
+15 +15
7+x=17 2/3
-7 -7
x= 10 2/3
Hope I helped