Question

What are the distance between the pair of points E(-5,4) and F(6, 4)

Answer 1

`\boxed {\boxed {\sf d=11}}`

Explanation:

Since we want to find the distance between a pair of points, we use the following formula:

`d =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2`

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:

• x₁= -5
• y₁= 4
• x₂= 6
• y₂= 4

Substitute the values into the formula.

`d= \sqrt{(6--5)^2+ (4-4)^2`

Solve inside the parentheses.

• (6--5)= (6+5)=11
• (4-4)= 0

`d= \sqrt{11)^2+(0)^2`

Solve the exponents.

• (11)²= 11*11= 121
• (0)²= 0*0= 0

`d= \sqrt{121+0`

Add.

`d= √(121)`

Solve the square root.

`d= 11`

The distance between the 2 points is 11.