A circle has a radius of 5/3 units and is centered at (9.2. -7.4).
Write the equation of this circle.

Step-by-step explanation:

eq. of circle is (x-a)²+(y-b)²=r²

where (a,b) is the centre and r the radius.

(x-9.2)²+(y+7.4)²=(5/3)²

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15