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a = 15

b = - 14

Step-by-step explanation:

Solve the equation for a

a = 29 + b

Substitute the given value of a into the equation  

Solve the equation for b

b = - 14

Substitute the given value of b into the equation a = 29 + b

a = 29 + (- 14)

Solve the equation for a

a = 15

The possible solution of the system is the ordered pair (a, b)

(a, b) = (15, -14)

Check if the given ordered pair is the solution of the system of equations

Simplify the equalities

10 = 10

29 = 29

Since all of the equalities are true, the ordered pair is the solution of the system

(a, b) = (15, -14)

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!

the correct answer is the second option