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

Step-by-step explanation:

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

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.

Solve inside the parentheses.

Solve the exponents.

Add.

Solve the square root.

The distance between the 2 points is 11.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.