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3 years ago

The graph of the equation LaTeX: x^2+y^2-20x+14y+28=0

Mathematics

1 answer:

belka [17]3 years ago

8 0

Answer:

radius = 11

Step-by-step explanation:

The equation of a circle in general form is

x² + y² + 2gx + 2fy + c = 0

with radius = $\sqrt{g^2+f^2-c}$

x² + y² - 20x + 14y + 28 = 0 ← is in general form

with 2g = - 20 ⇒ g = - 10

2f = 14 ⇒ f = 7 and c = 28, thus

radius = $\sqrt{(-10)^2+7^2-28}$ = $\sqrt{100+49-28}$ = $\sqrt{121}$ = 11

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2 years ago

A number is squared. The result is squared, then that result is squared. The final number is 6561. What was the original number?

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The original number is 3.

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3 years ago

How many quarter hours are in 5 hours?

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Read 2 more answers

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ohaa [14]

Answer:

4. The range is -2 ≤ y ≤ 4

5. The domain is {-2 , -1 , 0 , 3.5 , 4.2}

6. The relation is not a function

Step-by-step explanation:

* Lets explain how to solve the problem

# Question 4:

- The range of the function is the values of all y (output) which is

corresponding to the values of all x (input)

- The figure is a stare, the values of x is from -4 to 4

∴ The domain is -4 ≤ x ≤ 4

- The corresponding values of y are from -2 to 4

∴The range is -2 ≤ y ≤ 4

# Question 5:

- The table represent a relation between x and y

- x is the input of the relation

- y is the output of the relation

∵ The input of the relation is called the domain of it

∴ The domain of the relation is all values of x in the table

- the values of x are -2 , -1 , 0 , 3.5 , 4.2

∴ The domain is {-2 , -1 , 0 , 3.5 , 4.2}

# Question 6:

- The relation can be a function if each ordered pair has a

unique value of x (input)

- That means every x (input) has only one y (output)

- Ex : The relation {(a , b) , (c , d) , (a , f)} is not a function because

the input a has two output b and f

∵ The relation is {(-4 , 0) , (-3 , 0) , (-2 , 1) , (1 , -2) , (-3 , 4)}

∵ The x = -3 has two values of y 0 and 4

∴ The relation is not a function

7 0

3 years ago