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Andrei [34K]
3 years ago
13

What is the radius of a circle whose equation is x^2+y^2-10x+6y + 18=0

Mathematics
1 answer:
rjkz [21]3 years ago
6 0

Answer:

Explanation:

We must write this equation in the form

(

x

−

a

)

2

+

(

y

−

b

)

2

=

r

2

Where

(

a

,

b

)

are the co ordinates of the center of the circle and the radius is

r

.

So the equation is

x

2

+

y

2

−

10

x

+

6

y

+

18

=

0

Complete the squares so add 25 on both sides of the equation

x

2

+

y

2

−

10

x

+

25

+

6

y

+

18

=

0

+

25

=

(

x

−

5

)

2

+

y

2

+

6

y

+

18

=

0

+

25

Now add 9 on both sides

(

x

−

5

)

2

+

y

2

+

6

y

+

18

+

9

=

0

+

25

+

9

=

(

x

−

5

)

2

+

(

y

+

3

)

2

+

18

=

0

+

25

+

9

This becomes

(

x

−

5

)

2

+

(

y

+

3

)

2

=

16

So we can see that the centre is

(

5

,

−

3

)

and the radius is

√

16

or 4

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7 0
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Can you please Simplify 4a+7b+5a-b
vovangra [49]

Answer:

9a+6b

Step-by-step explanation:

4a+7b+5a-b

First figure out the  a's 4a + 5a = 9a

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7b - 1b = 6b

So for this to be simplified the answer is 9a+6b

7 0
3 years ago
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storchak [24]
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7 0
3 years ago
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What is the value of x in the equation ex- y = 30, when y = 15?
Bumek [7]

Answer:

x = 45

Step-by-step explanation:

Solution:

x - y = 30

x - 15 = 30   ( y = 15 given)

x = 30 + 15

Therefore, x = 45

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4 0
3 years ago
X + 4y = 16<br> -X + 3y = -2 ​
jeyben [28]

Answer:

(8, 2 )

Step-by-step explanation:

Given the 2 equations

x + 4y = 16 → (1)

- x + 3y = - 2 → (2)

Adding the 2 equations term by term will eliminate the x- term

0 + 7y = 14

7y = 14 ( divide both sides by 7 )

y = 2

Substitute y = 2 into either of the 2 equations and solve for x

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x + 4(2) = 16

x + 8 = 16 ( subtract 8 from both sides )

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solution is (8, 2 )

7 0
3 years ago
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