13) Algebra II-New Meridian Released Items Module 2 Modeling and Reasoning: Algebra II (A.APR.C.4) Part A Let z and y represent natural numbers. Prove that the following equation is true for all x and y values. Show your work or explain your answer. (+)-(³-³)-(27)³ Enter your work and your explanation in the space provided. Part B Jenna claims that ² - y², 2zy, and x² + y² can be used to find side lengths for right triangles. Explain why Jenna is correct. Also, explain what restrictions, if any, must be placed on the values of and y when they are being used to find side lengths for right triangles. Enter your explanations in the space provided. (1)
13) Algebra II-New Meridian Released Items Module 2 Modeling and Reasoning: Algebra II (A.APR.C.4) Part A Let z and y represent natural numbers. Prove that the following equation is true for all x and y values. Show your work or explain your answer. (+)-(³-³)-(27)³ Enter your work and your explanation in the space provided. Part B Jenna claims that ² - y², 2zy, and x² + y² can be used to find side lengths for right triangles. Explain why Jenna is correct. Also, explain what restrictions, if any, must be placed on the values of and y when they are being used to find side lengths for right triangles. Enter your explanations in the space provided. (1)
13) Algebra II-New Meridian Released Items Module 2 Modeling and Reasoning: Algebra II (A.APR.C.4) Part A Let z and y represent natural numbers. Prove that the following equation is true for all x and y values. Show your work or explain your answer. (+)-(³-³)-(27)³ Enter your work and your explanation in the space provided. Part B Jenna claims that ² - y², 2zy, and x² + y² can be used to find side lengths for right triangles. Explain why Jenna is correct. Also, explain what restrictions, if any, must be placed on the values of and y when they are being used to find side lengths for right triangles. Enter your explanations in the space provided. (1)
Part A
Let I and y represent natural numbers. Prove that the following equation is true for all I and y values.
Show your work or explain your answer.
(2+2) - (2-2)-(251)
Enter your work and your explanation in the space provided.
Part B
Jenna claims that a2 - y?, 2zy, and a2 + y? can be used to find side lengths for right triangles.
Explain why Jenna is correct. Also, explain what restrictions, if any, must be placed on the values of t and y when they are being used to find side lengths for right triangles.
Enter your explanations in the space provided.
Transcribed Image Text:13)
Algebra II-New Meridian Released Items
Module 2
Modeling and Reasoning: Algebra II (A.APR.C.4)
Part A
Let z and y represent natural numbers. Prove that the following equation is true for all x and y values.
Show your work or explain your answer.
(+)-(³-³)-(27)³
Enter your work and your explanation in the space provided.
Part B
Jenna claims that ² - y², 2zy, and x² + y² can be used to find side lengths for right triangles.
Explain why Jenna is correct. Also, explain what restrictions, if any, must be placed on the values of
and y when they are being used to find side lengths for right triangles.
Enter your explanations in the space provided.
(1)
Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).
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