Answered

Find accurate and reliable answers to your questions on IDNLearn.com. Our community is here to provide the comprehensive and accurate answers you need to make informed decisions.

Evaluate the expression \(-x^2\):

a. For \(x=4\).

b. For [tex]\(x=-2\)[/tex].

Sagot :

GinnyAnsweridn
Certainly! Let's walk through the steps to evaluate the expression \( -x^2 \) for the given values of \( x \).

### Part (a): When \( x = 4 \)

1. Write down the expression: \( -x^2 \).
2. Substitute \( x = 4 \) into the expression: \( -(4)^2 \).
3. Calculate \( 4^2 \):
[tex]\[ 4^2 = 16 \][/tex]
4. Apply the negative sign:
[tex]\[ -(4^2) = -16 \][/tex]

So, when \( x = 4 \), the value of the expression \( -x^2 \) is \( -16 \).

### Part (b): When \( x = -2 \)

1. Write down the expression: \( -x^2 \).
2. Substitute \( x = -2 \) into the expression: \( -(-2)^2 \).
3. Calculate \( (-2)^2 \):
[tex]\[ (-2)^2 = 4 \][/tex]
4. Apply the negative sign:
[tex]\[ -((-2)^2) = -4 \][/tex]

So, when \( x = -2 \), the value of the expression \( -x^2 \) is \( -4 \).

To summarize:
- For \( x = 4 \), \( -x^2 = -16 \).
- For [tex]\( x = -2 \)[/tex], [tex]\( -x^2 = -4 \)[/tex].
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. IDNLearn.com provides the answers you need. Thank you for visiting, and see you next time for more valuable insights.