Answer: (x+7)^2 + (y-4)^2 = 121 or (x+7)^2 + (y-4)^2 = 11^2
Step-by-step explanation:
Equation of the circle is:
, which is the center 
and the radius 
-Place the center (-7,4) and radius 11 onto that equation:
(if simplified radius needed)
or
Hey there!
The perimeter of the floor plan is 30 inches.
Perimeter is length + length + width + width, so we can do 9 + 9 + 6 + 6 = 30
The area of the floor plan is 54 inches²
Area is length x width, so we can do 9 x 6 = 54
The perimeter of the actual size is 105 feet
First, we can solve the dimensions for the actual size. We know that 2 inches = 7 feet, so we can do 7/2 and get 3.5. This means that for every 1 inch, it's 3.5 feet. Then, we multiply the dimensions by 3.5:
9 x 3.5 = 31.5 feet
6 x 3.5 = 21 feet
Then we solve for perimeter. Perimeter is length + length + width + width, so we can do 31.5 + 31.5 + 21 + 21 = 105
The area of the actual size is 661.5 inches²
Area is length x width, so we can do 31.5 x 21 = 661.5
Hope this helps! Tell me if you need more help.
Answer:
What is a Proof?
A series of steps, with justifications, that verifies a theorem or relationship exists
Types of Proofs
Two-column Proofs a table with two columns; the first column is the mathematical statement, and the second column is the justification
Paragraph Proofs a type of proof that explains the rationale for each step using complete sentences in paragraph form
Flow Chart Proofs a diagram that contains the steps of the proof and the justification for each one
------------------------
Answer:
A. 100$
Step-by-step explanation:
take 125 and multiply it to .20 (this is 20% in decimal form) this gives you 25. you know subtract 25 from 125 which gives you 100.
Answer:
f(- 2) = 8
Step-by-step explanation:
To evaluate f(- 2) substitute x = - 2 into f(x) , that is
f(- 2) = 2
- 4(- 2)³ - 11(- 2)² +3(- 2) - 6
= 2(16) - 4(- 8) - 11(4) - 6 - 6
= 32 + 32 - 44 - 12
= 64 - 56
= 8
