Question

Which expression(s) is (are) equivalent to 6(3 - 2r) ? Select ALL that apply . 1. 6(3) - 6(2r) 2.6(3) + 6(2r) 3.63 - 62r 4. 3(3 - 2r) + 3(3 - 2r) 5. 18 - 12r 6. 18 + 12r

Answer 1

The expressions equivalent to 6(3 - 2r), by applying the distributive property, are options 1, 4, and 5 from the list provided: 6(3) - 6(2r), 3(3 - 2r) + 3(3 - 2r), and 18 - 12r.

Step-by-step explanation:

The expressions equivalent to 6(3 - 2r) are found by applying the distributive property, which states that a(b + c) = ab + ac. This means we need to multiply the number 6 by each term inside the parentheses (3 and -2r).

First, we multiply 6 by 3 to get 18, and then 6 by -2r to get -12r. Therefore, 6(3 - 2r) simplifies to 18 - 12r. Now let's check the given options:

• Expression 1: 6(3) - 6(2r) is also 18 - 12r, which is correct.
• Expression 4: 3(3 - 2r) + 3(3 - 2r) simplifies to 9 - 6r + 9 - 6r, which simplifies further to 18 - 12r, which is correct.
• Expression 5: 18 - 12r is exactly the simplified form of the original expression, so it is correct.

Hence, the expressions that are equivalent to 6(3 - 2r) are 1, 4, and 5.

Answer 2

For which points is the Y coordinate greater than 0

Step-by-step explanation:

For which points is the Y coordinate greater than 0