Which equation represents a circle whose center is located at (- 6, 2) and whose radius is sqrt(10) units?

The equation of the given circle is (x+6)² + (y-2)² =10 or x² + y²+ 12x  -4y +30 = 0

Step-by-step explanation:

Step 1 :

Center of the given circle = (-6,2)

Radius = √10 units

We need to find the equation of this circle.

Step 2 :

Circle's equation with center at (h,k) and radius of r units is given by

(x-h)² + (y-k)² = r²

So substituting the above values

we have

(x-(-6))² + (y-2)² = (√10)²

(x+6)² + (y-2)² =10

Simplifying ,this can be written as

x² +36 + 12x + y² + 4 -4y =10

x² + y²+ 12x  -4y +30 = 0

Step 3 :

Answer :

The equation of the given circle is (x+6)² + (y-2)² =10 or x² + y²+ 12x  -4y +30 = 0

answer: bea's uncle is 25 years old.

step-by-step explanation:

given the equation , we can say that the variable "x" represents the age of bea's uncle. then to find his age, we need to solve for "x":

we must add 15 to both sides of the equation:

now we need to divide both sides of the equation by 3:

therefore, we can conclude that bea's uncle is 25 years old.

d .tv

step-by-step explanation:

the side tv is included in both triangles.   this means it corresponds to itself in the transformation.

this is justified by using the reflexive property, which states that anything is congruent to itself.