Review the following problem and answer the questions that follow.

1) 2 should be added with 12 only and not with 6x as 6x and 2 are not like terms.

2) When adding polynomials, You should add only like terms.

Step-by-step explanation:

The steps done are:

Step 1: y-2=6x+12

Step 2: Add 2 on both sides

y-2+2=6x+12+2

Answer : y=8x+14

1) What mistake did I made?

You made a mistake in step 2,

When adding polynomials, you add only like terms. i.e

y-2+2=6x+12+2

y=6x+14

2 should be added with 12 only and not with 6x as 6x and 2 are not like terms.

2) Suggestion to avoid Such mistake in the future.

When adding polynomials, You should add only like terms.

Like terms are those that have same degree of variables i,e

2x and 3x, 2x^2 and 3x^2, 2 and 3 they all are like terms.

You can add 2x and 3x but can't add 2x and 2x^2 as they are not like terms.

So, while solving polynomials always add like terms.

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation: