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umka21 [38]
3 years ago
11

The equation of a circle is x^2+y^2+6x-2y-15=0. find the center and radius of the circle.

Mathematics
1 answer:
Serjik [45]3 years ago
7 0

Answer:

(-3, 1), 5

Step-by-step explanation:

x² + y² + 6x - 2y - 15 = 0

Rearrange:

x² + 6x + y² - 2y = 15

Complete the square:

x² + 6x + 9 + y² - 2y + 1 = 15 + 9 + 1

(x + 3)² + (y - 1)² = 25

Therefore, the center is (-3, 1) and the radius is 5.

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The sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab 2. if one addend is –5a2b2 12a2b – 5, what is the other addend? 15a2b2 –
Brrunno [24]

The other polynomial addend, when the sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab  is 15a²b²- 20a²b + 6ab² - 4ab + 7.

<h3>What is polynomial?</h3>

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The sum of two polynomials is,

10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2

The one polynomial addend is,

-5a^2b^2 +12a^2b - 5

Let suppose the other polynomial addend is f(a,b). Thus,

(-5a^2b^2 +12a^2b - 5)+f(a,b)=(10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2)

Isolate the second polynomial as,

f(a,b)=(10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2)-(-5a^2b^2 +12a^2b - 5)\\f(a,b)=10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2+5a^2b^2 -12a^2b + 5

Arrange the like terms as,

f(a,b)=10a^2b^2+5a^2b^2 - 8a^2b -12a^2b+ 6ab^2 - 4ab + 2+5\\f(a,b)=15a^2b^2- 20a^2b + 6ab^2 - 4ab + 7

Hence, the other polynomial addend, when the sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab  is 15a²b²- 20a²b + 6ab² - 4ab + 7.

Learn more about polynomial here;

brainly.com/question/24380382

7 0
2 years ago
The number of students in Mrs. Patrick's piano class decreased by 15% in 2 years to 17 students. How many students did she have
guapka [62]

Answer:

20 students

Step-by-step explanation:

If the class decreased by 15%, the students that she has now (17) represents a percentaje of:

100% - 15% = 85%

so<u> the 17 students are 85% of what she had</u>:

Students         Percentage

      17          ⇒        85%

and we are looking for how many students she had 2 years ago, thus we are looking for the <u>100%</u> of students (the original number of studens). If we represent this number by x:

Students         Percentage

      17          ⇒        85%

      x          ⇒        100%

and we solve this problem using the <u>rule of three</u>: multiply the cross quantities on the table( 17 and 100) and then divide by the remaining amount (85):

x = 17*100/85

x = 1700/85

x=20

2 years ago she had 20 students

6 0
4 years ago
Kirsten calculated the mean of 10 quiz scores. Later she was told there was an error in grading one of her quizzes. A quiz score
inessss [21]
The mean will be 5 points higher...so...c would be the answer!
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3 years ago
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Find the least common denominator of the two fractions 3/4 over 1/6?
leva [86]

Answer:

(2/12 & 9/12)

Step-by-step explanation:

12 is the least common denominator for the fractions, so they must be rewritten to have the same denominator, but hold the same value.

( not written by me )

8 0
3 years ago
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HjkkjikmjikiikigyjkbvcfAAAWFKO
kobusy [5.1K]
1. 3 & 7 and 2 & 6

2. 5

3. Alternate exterior angles

4. Consecutive interior angles

5. 2

6. 4

7. 146

8. 128

9. 13x + 63 = 180
13x = 117
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12. 8

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3 years ago
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