Answer two questions about Equations AAA and BBB: \begin{aligned} A.&&5x-2+x&=x-4 B.&&5x+x&=x-4 \end{aligned} A. B. 5x−2+x 5x+x =x−4 =x−4 1) How can we get Equation BBB from Equation AAA? Choose 1 Choose 1 (Choice A) A Add/subtract a quantity to/from only one side (Choice B) B Add/subtract the same quantity to/from both sides (Choice C) C Rewrite one side (or both) using the distributive property (Choice D) D Rewrite one side (or both) by combining like terms 2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution? Choose 1 Choose 1 (Choice A) A Yes (Choice B) B No

1) A. Add/subtract a quantity to/from only one side  

2) B. No

Step-by-step explanation:

Question (rewritten)

Answer two questions about Equations A and B:  

A. 5x-2+x = x-4   B. 5x+x = x-4  

1) How can we get Equation B from Equation A?

A. Add/subtract a quantity to/from only one side  B. Add/subtract the same quantity to/from both sides  C. Rewrite one side (or both) using the distributive property  D. Rewrite one side (or both) by combining like terms  

2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?  

A. Yes  B. No Solution

1) As we see left sides of the equations are different but right sides are same.

To make them equal we need to remove the difference.

Equation A. 5x -2 +x = x -4 Equation B. 5x + x = x- 4

We need to add 2 to the left side of equation A to get Equation B.

The answer choice for this case is:

A. Add/subtract a quantity to/from only one side  

2) Since the equations are not same, they will have different solutions.

Answer choice is:

B. No

Equivalent equations are equations that have the same value.

Add/subtract a quantity to/from only one side to get equation B from ABoth equations are not equivalent

The equations are given as:

(a) How to get equation (B) from (A)

By comparing equations (A) and (B), we have the following observations

The right-hand side of both equations are the sameThe difference between the left-hand side of the equations is -2.

This means that, only the left-hand side of equation A will be altered to get equation B.

Hence, the solution is:

A. Add/subtract a quantity to/from only one side

(b) Are they equivalent?

No, they are not.

This is so, because only one side of equation A is altered to get equation B.

Read more about equivalent equations at:

link

Option (3)

Step-by-step explanation:

Area of a circle is given by the formula,

Area = πr²

Here, r = radius of the circle

Since, radius of the circular trampoline = 8 feet

Area of the cover required for the circular trampoline = π(8)²

                                                                                         = 64π square feet

Therefore, Option (3) will be the answer.