Question

type the correct answer in the box. use numerals instead of words. consider this expression. |m² - 7| + n² when m = -2 and n = 5, the value of the expression is

Explanation:

Step1: Substitute m and n

Substitute \( m = -2 \) and \( n = 5 \) into the expression \( |m^2 - 7| + n^2 \). First, calculate \( m^2 \): \( (-2)^2 = 4 \).

Step2: Calculate the absolute value part

Then, calculate the inside of the absolute value: \( 4 - 7 = -3 \). The absolute value of -3 is \( | -3 | = 3 \).

Step3: Calculate the square part

Next, calculate \( n^2 \): \( 5^2 = 25 \).

Step4: Add the two results

Finally, add the two results together: \( 3 + 25 = 28 \).

Answer:

28