Answer :
Let's evaluate the expression \( t^2 \) for the given values of \( t \).
### Part a: For \( t = 5 \)
1. Substitute \( t = 5 \) into the expression \( t^2 \).
2. Calculate the square of 5:
[tex]\[ t^2 = 5^2 = 25 \][/tex]
So, the value of \( t^2 \) when \( t = 5 \) is \( 25 \).
### Part b: For \( t = -4 \)
1. Substitute \( t = -4 \) into the expression \( t^2 \).
2. Calculate the square of -4:
[tex]\[ t^2 = (-4)^2 = 16 \][/tex]
So, the value of \( t^2 \) when \( t = -4 \) is \( 16 \).
### Summary
- When \( t = 5 \), \( t^2 = 25 \).
- When [tex]\( t = -4 \)[/tex], [tex]\( t^2 = 16 \)[/tex].
### Part a: For \( t = 5 \)
1. Substitute \( t = 5 \) into the expression \( t^2 \).
2. Calculate the square of 5:
[tex]\[ t^2 = 5^2 = 25 \][/tex]
So, the value of \( t^2 \) when \( t = 5 \) is \( 25 \).
### Part b: For \( t = -4 \)
1. Substitute \( t = -4 \) into the expression \( t^2 \).
2. Calculate the square of -4:
[tex]\[ t^2 = (-4)^2 = 16 \][/tex]
So, the value of \( t^2 \) when \( t = -4 \) is \( 16 \).
### Summary
- When \( t = 5 \), \( t^2 = 25 \).
- When [tex]\( t = -4 \)[/tex], [tex]\( t^2 = 16 \)[/tex].
