Question

Enter the values needed to find the
length AB. (Simplify your answer.)
A(-3a, b)
F
В(3a, b)
AB = ([?])2
✓([?])2 + (0)2
Distance Formula: d = x)2 + (92-y)
C-a Sb)
Enter

Answer 1

Answer:

The missing value is 6a

Step-by-step explanation:

Given:

$\displaystyle \large{A(-3a,b)}\\\displaystyle \large{B(3a,b)}$

Find:

Missing Value

Distance Formula:

$\displaystyle \large{\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}$

Determine:

$\displaystyle \large{(x_2,y_2)=(3a,b)}\\\displaystyle \large{(x_1,y_1)=(-3a,b)}$

Input given information above in the formula:

$\displaystyle \large{AB=\sqrt{(3a-(-3a))^2+(b-b)^2}}\\\displaystyle \large{AB=\sqrt{(3a+3a)^2+(0)^2}}\\\displaystyle \large{AB=\sqrt{(6a)^2}}\\\displaystyle \large{AB=6a}$

The length is 6a but since we want to find the value in the square root then the answer is still 6a