Find the Solution Set for the System by Graphing Both $$\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 25 \\25 x ^ { 2 } + 16 y ^ { 2 } = 400\end{array} \right.$$

question 59

Multiple Choice

Find the solution set for the system by graphing both of the system's equations in the same rectangular coordinate
system and finding points of intersection.
- $$\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 25 \\25 x ^ { 2 } + 16 y ^ { 2 } = 400\end{array} \right.$$

• A) \(\{ ( 0,5 ) , ( 0 , - 5 ) \}\)
• B) \(\{ ( 5,0 ) , ( - 5,0 ) \}\)
• C) \(\{ ( 0,4 ) , ( 0 , - 4 ) \}\)
• D) \(\{ ( 4,0 ) , ( - 4,0 ) \}\)

Analyze the strength and criticisms of path-goal theory and understand its empirical support.

Apply path-goal theory to practical leadership situations and assess its practical implications.

Distinguish between the different task characteristics (complex, ambiguous, challenging, mundane) and their implications for leadership styles.

Relate path-goal theory to other leadership theories such as situational approach and Mumford's Skills Model.

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