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Lunna [17]
2 years ago
11

Plz help Find ‘x’ & ‘y’

Mathematics
1 answer:
just olya [345]2 years ago
3 0

Answer:

x=20. y=15

Step-by-step explanation:

in similar triangles the sides are all in proportion. this means:

\frac{25}{5}  =  \frac{x}{4}  =  \frac{y}{3}

\frac{25}{5}  = 5

so:

\frac{x}{4}  = 5

x=5×4

x=20

and...

\frac{y}{3}  = 5

y=3×5

y=15

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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

−

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

6 0
3 years ago
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