The equation of the circle whose center is at (4,4) and whose radius is 5 is?

Answers

Answer 1
Answer:

Answer: The equation of the circle is x^2+y^2-8x-8y+7=0.

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

(x-g)^2+(y-h)^2=r^2.

Here, (g, h) = (4, 4) and r = 5.

Therefore, the equation of the circle is

(x-4)^2+(y-4)^2=5^2\n\n\Rightarrow x^2-8x+16+y^2-8y+16=25\n\n\Rightarrow x^2-8x+y^2-8y+32=25\n\n\Rightarrow x^2+y^2-8x-8y+7=0.

Thus, the equation of the circle isx^2+y^2-8x-8y+7=0.

Answer 2
Answer: (x – h)² + (y – k)² = r²

Fill in the variables

(x – 4)² + (y – 4)² = 25

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The first four terms of a sequence are shown below: 7, 4, 1, -2 Which of the following functions best defines this sequence? A.f(1) = 7, f(n + 1) = f(n) + 3; for n ≥ 1 B.f(1) = 7, f(n + 1) = f(n) - 3; for n ≥ 1 C.  f(1) = 7, f(n + 1) = f(n) - 4; for n ≥ 1 D.f(1) = 7, f(n + 1) = f(n) + 4; for n ≥ 1

Answers

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



answer is B.f(1) = 7, f(n + 1) = f(n) - 3; for n ≥ 1

f(1) = 7
f(2) = 7 -3 = 4
f(3) = 4 -3 = 1
f(4) = 1 -3 = -2

Which represents the polynomial written in standard form?

4m – 2m4 – 6m2 + 9

Answers

If you would like to write the polynomial in standard form, you can do this like this:

4m - 2m^4 - 6m^2 + 9

Writing the polynomial in standard form means that you have to write the terms by descending degree:
- 2m^4 - 6m^2 + 4m + 9

The correct result would be - 2m^4 - 6m^2 + 4m + 9.

An equation which represents the polynomial written in standard form is 2m⁴ - 6m² + 4m + 9.

What is a polynomial?

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:

  • Addition
  • Subtraction
  • Multiplication

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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I don't know how to do this

Answers

part a : a coefficient is 10.5

a variable is c 

a constant is 50 

part b : $618.50

part c : the coefficient would change because instead of it being 10.5 in front of the variable "h" it is now 11.25 in front of the variable.


Part A. h and c are variables 10.15 and 15 are coefficients 50 is the constant
Part B.Put h=37 and c=12
Part C.$11.25 instead of 10.15 i.e. eq. becomes 11.25h + 15c + 50

Solve for x. 7(x - 3) = 4(x + 5)

Answers

7(x-3) = 4(x+5)
7x - 21 = 4x + 20
7x - 4x = 20 + 21
3x = 41
x = 41/3
x = 13.67

In Chemistry class, Andrew has earned scores of 64, 69, and 73 on three tests. He must maintain an average of 70 to pass the course. What score must Andrew earn on the final exam to pass the course?

Answers

64 + 69 + 73 = 206 ÷ 3 = 68 ish
if he get at least 74 :
64 + 69 + 73 + 74 = 280 ÷ 4 = 70
he will pass course with straight 70

A social worker earns $760 gross pay.  If he is married and claims 1 dependent, his state tax rate is 7%, and FICA is 7.65%, what is his net
pay?

Answers

I believe the net pay is $648.66.
$760×.07 for sales tax rate =53.20
$760×0.0765 for FICA= 58.14
(7.65÷100=0.0765)
now 760-53.20-58.14= 648.66