Given: 15+6(y−2)=21 prove: y = 3 drag and drop the reasons into the boxes to correctly complete the proof. statement reason 15+6(y−2)=21 given 15+6y−12=21 6y + 3 = 21 6y = 18 y = 3

Given:  

Distributive Property tells us that we multiply each term inside the parentheses with the term outside of the parentheses.

Using distributive property on expression 6(y-2) to solve the further expression as:

Simplify:

Subtract the number 12 from 15 we get 3;

therefore, the expression become:

Subtraction property of equality tells us that subtract the same number from both sides of an equation.

Now, subtract 3 from both the sides we get;

Simplify:

Now, divide by 6 on both the sides we get;

On simplify we get;

y =3           Hence Proved!

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.