6.) constant = 75
7.) open sentence = 6 + 22 = 28
8.) equation = 17 + b = 47
9.) solution = when x + 37 = 62, x = 25
Explanation:
The expression given in the question is
![(\sqrt[3]{64}-16\div2)(2-4)^2](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B64%7D-16%5Cdiv2%29%282-4%29%5E2)
Part C:
Step 1:
Solve the cube root
![\begin{gathered} (\sqrt[3]{64}-16\div2)(2-4)^2 \\ (4-16\div2)(2-4)^2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%28%5Csqrt%5B3%5D%7B64%7D-16%5Cdiv2%29%282-4%29%5E2%20%5C%5C%20%284-16%5Cdiv2%29%282-4%29%5E2%20%5Cend%7Bgathered%7D)
Step 2:
Divide within first parenthesis
![\begin{gathered} (4-16\div2)(2-4)^2 \\ (4-8)(2-4)^2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%284-16%5Cdiv2%29%282-4%29%5E2%20%5C%5C%20%284-8%29%282-4%29%5E2%20%5Cend%7Bgathered%7D)
Step 3:
substract within first parenthesis
![\begin{gathered} (4-8)(2-4)^{2} \\ (-4)(-2)^2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%284-8%29%282-4%29%5E%7B2%7D%20%5C%5C%20%28-4%29%28-2%29%5E2%20%5Cend%7Bgathered%7D)
Step 4:
Substract within the parenthesis
![\begin{gathered} (-4)(2-4)^2 \\ -4_(2-4)^2 \\ -4(-2)^2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%28-4%29%282-4%29%5E2%20%5C%5C%20-4_%282-4%29%5E2%20%5C%5C%20-4%28-2%29%5E2%20%5Cend%7Bgathered%7D)
Step 5:
Simplify the exponent
![\begin{gathered} -4(-2)^2 \\ =-4(4) \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20-4%28-2%29%5E2%20%5C%5C%20%3D-4%284%29%20%5Cend%7Bgathered%7D)
Step 6:
Multiply
![\begin{gathered} -4(4) \\ =-16 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20-4%284%29%20%5C%5C%20%3D-16%20%5Cend%7Bgathered%7D)
Part A:
The mistake made in step 2 was that the student substracted first instead of dividing with the first parenthesis first
![\begin{gathered} (4-16\div2)(2-4)^2 \\ (-12\div2)(2-4)^2(WRONG) \\ \\ (4-8)(2-4)^2(CORRECT) \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%284-16%5Cdiv2%29%282-4%29%5E2%20%5C%5C%20%28-12%5Cdiv2%29%282-4%29%5E2%28WRONG%29%20%5C%5C%20%20%5C%5C%20%284-8%29%282-4%29%5E2%28CORRECT%29%20%5Cend%7Bgathered%7D)
Part B:
The mistake made in step 4 was that the student simplified the exponent first instead of substracting with the second parenthesis and then simplifying the exponent
Answer:
Measure of angle A
Step-by-step explanation:
:)