Answer:
AB = 10π
Step-by-step explanation:
The length of the arc is calculated as
arc = circumference of circle × fraction of circle
= 2πr × 
= 2π × 12 ×
← cancel 12 on numerator/ denominator, leaving
AB = 2π × 5 = 10π
The first step for solving this question is put both of your given expressions into one and then subtract them. This will look like the following:
8 ×

- 2 × 10²]
Now to make the calculation easier,, factor the expression.
(8 ×

- 2) × 10²
Evaluate the power inside the parenthesis.
(8 × 10000 - 2) × 10²
Evaluate the power outside the parenthesis.
(8 × 10000 - 2) × 100
Multiply the numbers inside the parenthesis.
(80000 - 2) × 100
Subtract the numbers in the parenthesis.
79998 × 100
Lastly,, multiply the numbers together to get your final answer.
7999800
This means that 8 ×

is 7999800 times larger than 2 × 10².
Let me know if you have any further questions.
:)
Given:
f(x) = x²
g(x) = 4x²
Therefore
g(x) = 4f(x)
This means that the value of g(x) is 4 times the value of f(x). So the graph og (x) is the graph of f(x) vertically stretched by a factor of 4.
The graph shown below confirms the conclusion.
Answer: C.
The graph of g(x) is the graph of f(x) vertically stretched by a factor of 4.
Answer:
Maximum distance = 94.6 million miles
Minimum distance = 91.4 million miles
Step-by-step explanation:
The mean distance of the Earth from the sun is 93 million miles.
The distance varies by 1.6 million miles.
The maximum distance of the Earth from the sun is 93 + 1.6 = 94.6 million miles
The minimum distance of the Earth from the sun is 93 - 1.6 = 91.4 million miles.
The rule for a 270° counterclockwise rotation is (x, y) ---> (y, -x).
So if you rotated (-5,5) 270° counterclockwise around the origin the new coordinates would be (-5,-5).
Hope this Helps!!