Answer: 
Work Shown:
Note that (h,k) = (2,-3) is the center and r = 6 is the radius. The last line is not expanded out using the FOIL rule because its common practice to leave it in 
form. This form allows the reader to quickly determine the center and radius (rather than have to do a lot of algebraic steps before hand).
12.4 / 6.2 = 2
so other side of enlarged rectangle = 1.8 x 2 = 3.6
Perimeter of enlarged rectangle = 2(3.6 + 12.4) = 32
Answer: 32 feet
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Another way to do:
12.4 / 6.2 = 2
SF = 2
The original rectangle has a perimeter of 16
Perimeter of the enlarged rectangle = 16 x 2 = 32
Answer: 32 feet
Answer:
Step-by-step explanation:
Given
Solving (a): T7
Substitute 7 for n in
Calculate S7 and S6
So:
Solving (b): Tn
Where
Calculate
We have:
Open brackets
So:
Collect Like Terms
Answer:
79.25
Step-by-step explanation:
Answer:
x = 12
Step-by-step explanation:
We have a right triangle with hypotenuse 10 and the height 8. Either the one on the left or the one on the right
We can find the base using the Pythagorean theorem
a^2 + b^2 = c^2
a^2 +8^2 = 10^2
a^2 +64 = 100
Subtract 64 from each side
a^2 = 100 -64
a^2 = 36
Take the square root of each side
a = 6
Now a is 1/2 of the total base of the big triangle. It is identical since the triangles are equal
x = 2 * a
x = 2*6 = 12
