Answer: The equation of the circle is
Step-by-step explanation: We are given to find the equation of a circle with center at (4, 4) and radius 5 units.
The standard equation of a circle with center at (g, h) and radius 'r' units is given by
Here, (g, h) = (4, 4) and r = 5.
Therefore, the equation of the circle is
Thus, the equation of the circle is
Answer:
Option (B) is correct.
The sequence that best defines the function is f(1) = 7, f(n + 1) = f(n) - 3; for n ≥ 1
Step-by-step explanation:
Given sequence 7 ,4, 1,-2
We have to choose a function from given options that best defines this sequence.
Let f(n) denotes the value at nth position,
Like f(1) = 7 , so here, n= 1.
Since next term is 4 = f(2)
4 can be written as 7 - 3 = f(1) -3
Next term is 1 = f(3)
1 can be written as 4-1 = f(2) - 3
Next term is -2 = f(4)
-2 can be written as 1-3 = f(3) - 3
Thus, following the sequence and writing in general form for n
f(n+1) = f (n) -3 , n ≥ 1
Thus, option (B) is correct.
The sequence that best defines the function is f(1) = 7, f(n + 1) = f(n) - 3; for n ≥ 1
4m – 2m4 – 6m2 + 9
An equation which represents the polynomial written in standard form is 2m⁴ - 6m² + 4m + 9.
A polynomial can be defined as a mathematicalexpression which is comprises intermediates (variables), constants and exponents with different numerical value, that are typically combined by using mathematical operations such as:
In this scenario, the polynomial would be written in standard form by rearranging it in descending degree of exponents:
2m⁴ - 6m² + 4m + 9.
Read more on polynomials here: brainly.com/question/1600696
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