All categories

2 years ago

What is the center of a circle whose equation is x2 y2 – 12x – 2y 12 = 0? (–12, –2) (–6, –1) (6, 1) (12, 2)

Mathematics

1 answer:

lora16 [44]2 years ago

8 0

The center of a circle whose equation is x^2 +y^2 – 12x – 2y +12 = 0 is (6,1)

<h3>Equation of a circle</h3>

The standard equation of a circle is expressed as:

x^2 + y^2 + 2gx + 2fy + c = 0

where:

(-g, -f) is the centre of the circle

Given the equations

x^2 +y^2 – 12x – 2y +12 = 0

Compare

2gx = -12x

g = -6

Simiarly

-2y = 2fy

f = -1

Centre = (6, 1)

Hence the center of a circle whose equation is x^2 +y^2 – 12x – 2y +12 = 0 is (6,1)

Learn more on equation of a circle here: brainly.com/question/1506955

You might be interested in

Which postulate or theorem justifies this statement: ∠ 11 + ∠ 10 = 180°

Trava [24]

Answer:

Same-side Interior Angles theorem justifies ∠ 11 + ∠ 10 =180°

Step-by-step explanation:

To Prove:

∠ 11 + ∠ 10 =180°

Proof:

Consider lines are Parallel,then

Corresponding Angles are Equal

∴ ∠ 10 = ∠ 12 say (equation 1)

Now by Linear Pair postulate we have,

∴ ∠ 11 + ∠ 12 = 180° say (equation 2)

Now by replacing ∠12 by ∠ 10 from equation 1 in equation 2 we get

∴ ∠ 11 + ∠ 10 = 180°

Hence proved the above statement.

7 0

3 years ago

Martha wrote an example of a quadratic function for a homework assignment. The function she wrote is shown. f(x) = 5x3 + 2x2 + 7

larisa86 [58]

Answer:

The two correct options are:

The first term, 5x³, can be eliminated

The exponent on the first term, 5x³, can be changed to 2 and then combined with the second term, 2x²

Explanation:

The degree of an expression is given based on the highest power in the expression

The given expression is:

5x³ + 2x² + 7x - 3

We can note that the highest power in the given expression is 3 which means that the degree of the expression is 3

A quadratic function is a function of degree 2. This means that the highest degree in the expression (function) must be 2

Accordingly, Martha should get rid of the term with power 3 (5x³) in her equation

This can be done by 2 methods:

1- She simply eliminates the term with the third degree

2- She changes the degree of the term with degree 3 to a lower degree and combines it with any existent like term

Comparing the above with the given options, we can conclude that the two correct options are:

- The first term, 5x³, can be eliminated

- The exponent on the first term, 5x³, can be changed to 2 and then combined with the second term, 2x²

Hope this helps :)

6 0

3 years ago

Read 2 more answers

Is 18 a polynomial? Explain your reasoning

Daniel [21]

Answer:

yes, 18 is a polynomial

Step-by-step explanation:

We have to show whether 18 is a polynomial or not

Polynomial is an expression involving variables and constants such that variables having non negative integer power.

Example $2x^4, 3y^3$ etc,

Thus, yes 18 is a polynomial

as 18 can be written as $18x^0$ where $x^0=1$ and 0 is non negative integer,

Thus, yes 18 is a polynomial as it can be written as $18x^0$ having non negative integer power 0.

8 0

3 years ago

Read 2 more answers

CAN ANYONE HELP ME ANSWER THIS PLEASE

HACTEHA [7]

Answer: 14/45

Step-by-step explanation: The probability that they first event will occur is 2/10. The probability that the second event will occur is 1/9. If you multiply those like it says in the hint you will get 14/45. (I think this is right)

5 0

3 years ago

The total travel time for the ranger to get to the car is the sum of the travel time in the forest and the travel time on the ro

Yuki888 [10]

Answer:

[ext]T(x) = 2C / Speed[/ext]

Step-by-step explanation:

[ext]Time taken for the Ranger to get to the car = Sum total time taken to travel in the forest and on the road[/ext]

Since [ext]distance of the Ranger to the car = C[/ext]

[ext]Time taken = distance/speed[/ext]

[ext]Total Time taken T(x) = 2 * C / speed[/ext]

T(x) = 2C / speed

4 0

3 years ago