What are all the coordinates that are solutions to the equation -2x + 4y = -10

(x , 1/2x - 5/2)  where x is a real number.

Step-by-step explanation:

-2x + 4y = -10 ⇔ 4y = 2x - 10 ⇔ y = 1/2x - 5/2

then any couple of the form (x , 1/2x - 5/2) is a solution to the equation

example :

let x = 7 then 1/2x - 5/2 = 1/2(7) - 5/2 = 1

in this case  -2x + 4y = -2(7) + 4(1) = -14 + 4 = -10

then (7,1) verify the equation

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!

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