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Ghella [55]
1 year ago
11

Edith’s age is 1/4 of Ronald’s age. In how many years will Edith’s age be 1/3 of Ronald’s age if Edith is 20 years old?

Mathematics
1 answer:
ruslelena [56]1 year ago
7 0

Answer:

10

Step-by-step explanation:

x = Edith's age = 20 years

y = Ronald's age

x = 20 = y/4

y = 20×4 = 80 years

in z years we have

(x + z) = (y + z)/3

(20 + z) = (80 + z)/3

3(20 + z) = 80 + z

60 + 3z = 80 + z

60 + 2z = 80

2z = 20

z = 10

in 10 years Edith's age will be 1/3 of Ronald's age.

then Edith will be 30, and Ronald will be 90.

30 = 90/3

correct.

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What is the radius of a circle whose equation is x^2+y^2-10x+6y + 18=0
rjkz [21]

Answer:

Explanation:

We must write this equation in the form

(

x

−

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)

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+

(

y

−

b

)

2

=

r

2

Where

(

a

,

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)

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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

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(

x

−

5

)

2

+

(

y

+

3

)

2

=

16

So we can see that the centre is

(

5

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)

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6 0
3 years ago
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Katen [24]

Answer:

x=3

y=5

Step-by-step explanation:

3×3=9

5×5=25

9+25=34

[3^2+5^2=34]

3^2=9

2×5=10

9+10=19

[3^2+2×5=19]

5 0
3 years ago
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