As we know that the standard equation of circle is ${\bf{(x-h)^{2}+(y-k)^{2}=r^{2}}}$ , where r is the radius of circle and centre at (h,k) 

Now , as the circle passes through (2,9) so it must satisfy the above equation after putting the values of h and k respectively

${:\implies \quad \sf \{2-(-1)\}^{2}+(9-5)^{2}=r^{2}}$

${:\implies \quad \sf (3)^{2}+(4)^{2}=r^{2}}$

${:\implies \quad \sf 9+16=r^{2}}$

After raising ½ power to both sides , we will get r = +5 , -5 , but as radius can never be -ve . So r = +5 

Now , putting values in our standard equation ;

${:\implies \quad \sf \{x-(-1)\}^{2}+(y-5)^{2}=(5)^{2}}$

${:\implies \quad \bf \therefore \quad \underline{\underline{(x+1)^{2}+(y-5)^{2}=25}}}$

This is the required equation of Circle

Refer to the attachment as well !

8 0

2 years ago

Which situation represents the equation: 5x - 18 = 42

Nookie1986 [14]

The correct answer is C. She makes an amount of money per hour x, then she works five hours so 5x, she then spends 18 on pizza so 5x-18, and then has 42 left over. 5x-18=42

3 0

3 years ago

Eight friends share 2 pumpkin pies equally. What fraction of a pumpkin pie does each friend get?

Pachacha [2.7K]

Answer:

1/4 of a pie

Step-by-step explanation:

2 / 8 = 1/4

6 0

3 years ago

Find the value.plzzz I will mark as the brillianest plzzzzzzzzzzzzzzzzzzzz

Aleks [24]

Answer:

n= 75

y= 75

z= 50

p= 105

other n across from p= 105

Step-by-step explanation:

n and y are the same since the triangle is isoseles.

p is supplemetary to n

z and 50 are opposites in a quadrilateral

7 0

3 years ago