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

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What are the distance between the pair of points

bryanmcmillianjr

01.07.2021

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

Step-by-step 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.

$d= \sqrt{121}$

Solve the square root.

d= 11

The distance between the 2 points is 11.

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