Question 1: The midpoint of $$ (a, 4) $$ and $$ (6, b) $$ is $$ (5,8) $$. The values of $$ a $$ and $$ b $$ are respectively

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To find the values of $$ a $$ and $$ b $$, we'll use the **midpoint formula**. The midpoint $$ (M_x, M_y) $$ of two points $$ (x_1, y_1) $$ and $$ (x_2, y_2) $$ is given by:

$$
M_x = \frac{x_1 + x_2}{2}, \quad M_y = \frac{y_1 + y_2}{2}
$$

Given:
- The two points are $$ (a, 4) $$ and $$ (6, b) $$.
- The midpoint is $$ (5, 8) $$.

**Step 1: Find $$ a $$**

Using the formula for the x-coordinate of the midpoint:
$$
\frac{a + 6}{2} = 5
$$

Multiply both sides by 2:
$$
a + 6 = 10
$$

Subtract 6 from both sides:
$$
a = 4
$$

**Step 2: Find $$ b $$**

Using the formula for the y-coordinate of the midpoint:
$$
\frac{4 + b}{2} = 8
$$

Multiply both sides by 2:
$$
4 + b = 16
$$

Subtract 4 from both sides:
$$
b = 12
$$

**Conclusion:**
The values are $$ a = 4 $$ and $$ b = 12 $$.

**Answer:**  
$$ a = 4 $$ and $$ b = 12 $$.
$$ a = 4 $$ and $$ b = 12 $$.

Question 1:
The midpoint of and is . The values of and are respectively

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Question 1: The midpoint of and is . The values of and are respectively