What is the value of this expression? 6⋅[(32−8)÷4 2]

                  6⋅[(32−8)÷4+2]= 48

While solving an arithmetic expression we use the PEMDAS rule which is an acronym for Parentheses,exponent,Multiplication,Division,Addition and Subtraction.

i.e. it says that the parentheses term should be given most preference while solving and arithmetic expression, then after that the preference is given to exponent term, then to multiplication term, then to division  and addition and subtraction are treated at the same level.

Here we have the expression as:

          6⋅[(32−8)÷4+2]

We first solve the parentheses term.

i.e. 32-8=24

Now, 24÷4=6

Hence, the expression becomes:

6⋅[(32−8)÷4+2]=6·[6+2]

i.e.

6⋅[(32−8)÷4+2]=6·8

Hence, we have:

             6⋅[(32−8)÷4+2]= 48

answer: a and c are correct

step-by-step explanation:

the +5 is the vertical translation

the added negative symbol in front is the reflection over the y-axis

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,