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

Does the equation have a max or min

Yakvenalex [24]

Answer:

Min

Step-by-step explanation:

To check if it has a max or min, you must reference the a value. The a value in this case is 2, and that is positive. Positive parabolas point up, so they can only have a minimum point.

7 0

4 years ago

Read 2 more answers

Question 1 . What division problem does this area model represent?

Law Incorporation [45]

Answer:

Step-by-step explanation:

6 0

3 years ago

What is the value of y?

Verizon [17]

Answer:

The answer is C (46)

Step-by-step explanation:

Since the measurement of the triangle is 180 then you must subtract 180 by 88 to create 92 and divided that 92 by 2 to get 46.

7 0

3 years ago