Answer:
[tex]\boxed {\boxed {\sf d=11}}[/tex]
Step-by-step explanation:
Since we want to find the distance between a pair of points, we use the following formula:
[tex]d =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Where (x₁, y₁) and (x₂, y₂) are the points.
We are given the points E (-5, 4) and F (6,4). If we match the values and corresponding variables, we see that:
Substitute the values into the formula.
[tex]d= \sqrt{(6--5)^2+ (4-4)^2[/tex]
Solve inside the parentheses.
- (6--5)= (6+5)=11
- (4-4)= 0
[tex]d= \sqrt{11)^2+(0)^2[/tex]
Solve the exponents.
- (11)²= 11*11= 121
- (0)²= 0*0= 0
[tex]d= \sqrt{121+0[/tex]
Add.
[tex]d= \sqrt{121}[/tex]
Solve the square root.
[tex]d= 11[/tex]
The distance between the 2 points is 11.
