For each value of w, determine whether it is a solution to =−10−64w.Is it a solution?w Yes No1 8 −5 −2

To determine whether each value of $w$ is a solution to the equation $-10 - 64w = 0$, we'll follow these steps:

1. Break Down the Problem

We need to substitute each value of $w$ into the equation and check if the equation holds true (i.e., the left-hand side equals the right-hand side).

2. Relevant Concepts

The equation can be rewritten to isolate $w$: $-64w = 10 \\ w = -\frac{10}{64} = -\frac{5}{32}$

3. Analysis and Detail

Now we will evaluate each value of $w$ to see if it satisfies the equation.

• For $w = 1$: $-10 - 64(1) = -10 - 64 = -74 \quad \text{(Not a solution)}$

• For $w = 8$: $-10 - 64(8) = -10 - 512 = -522 \quad \text{(Not a solution)}$

• For $w = -5$: $-10 - 64(-5) = -10 + 320 = 310 \quad \text{(Not a solution)}$

• For $w = -2$: $-10 - 64(-2) = -10 + 128 = 118 \quad \text{(Not a solution)}$

4. Verify and Summarize

After evaluating each possible value of $w$, none of the values satisfy the equation $-10 - 64w = 0$.

Final Answer

• $w = 1$: No
• $w = 8$: No
• $w = -5$: No
• $w = -2$: No