Which operation would you do second in the following problem?

(-8 ÷ 4) + 5 + 4(3 - 6)

addition
subtraction
multiplication
division

C. Multiplication

Step-by-Step Explanation:

This problem is testing your knowledge of the Order of Operations. Here is the correct order:

Exponents (inside parenthesis)- There are no exponents for you to solve in this expression, so just ignore this step for now. (example: (4 + 2²) --> (4 + 4))

Parenthesis (from left to right)- In this case, you would solve the expressions inside the parenthesis first because there are no exponents.

Multiplication and Division (from left to right outside of parenthesis)- After solving the expressions inside the parenthesis, there will be one multiplication you need to solve next.

Addition and Subtraction (from left to right outside of parenthesis)- The only operation left for you to do now is addition. You can either do this in one whole step, or you can divide it into two steps. I've done it in two to keep it simple.

Here is the problem worked out in steps in case you are confused:

Step 1: Parenthesis

(-8 ÷ 4) + 5 + 4(3 - 6)

(-2) + 5 + 4(-3)

Step 2: Multiplication

-2 + 5 + 4(-3)

-2 + 5 + (-12)

Step 3: Addition

-2 + 5 + (-12)

3 + (-12)

-9

(Note: '3 + (-12)' could also be written as '3 - 12', making it a subtraction instead of an addition)

Hope this helps!

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.