Answer:
The value \( y = 13 \) from the set satisfies the equation \( (y - 7)^2 = 36 \).
Step-by-step explanation:
To find which value from the set {6, 11, 13, 25} satisfies the equation \( (y - 7)^2 = 36 \), let's substitute each value into the equation:
1. For \( y = 6 \):
\((6 - 7)^2 = 1^2 = 1\) (not equal to 36)
2. For \( y = 11 \):
\((11 - 7)^2 = 4^2 = 16\) (not equal to 36)
3. For \( y = 13 \):
\((13 - 7)^2 = 6^2 = 36\) (equal to 36)
4. For \( y = 25 \):
\((25 - 7)^2 = 18^2 = 324\) (not equal to 36)
Therefore, the value \( y = 13 \) from the set satisfies the equation \( (y - 7)^2 = 36 \).
