The equation for the circle is:
x^2+y^2−12x+6y−19=0x2+y2−12x+6y−19= 0 .
what is the center of the circle?

(-6, 3)
(12, -6)
(6, -3)

(-12, 6)

Option (c) is correct.

Center of circle is at (6, -3)

Step-by-step explanation:

Given : The equation of circle is

We have to find the center of given circle and choose from the given options.

The standard equation of circle with center (h,k) and radius r is written as  

Consider the given equation

Adding 19 both side, we have,

Group x and y terms together, we have,

Add both side 36 to make x a perfect square term,

Using identity , we have,

Similarly, for y , adding 9 both side,

rewriting in standard form , we have,

Thus, Center of circle is at (6, -3)

Option (c) is correct.

u bout ugly as   a mf

step-by-step explanation: lol

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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