BC =using the Distance Formula A. 5

B. 7

C. 11

Don’t choose randomly or write “just doing this for points” cause its annoying and I’m having an exam.

Option A: 5

Step-by-step explanation:

If yo have the pairs (a, b) and (c, d)

The distance between these two points is:

distance = √( (a - c)^2 + (b - d)^2)

Here we want to find the distance between points B and C.

We can see that the coordinates of each one are:

point B: (-5, 5)

Point C: (-1, 2)

Then the distance between these points is:

AB = √( (-5 -(-1))^2 + (5 -2)^2) = 5

AB = √( 4^2 + 3^2)

Then the correct option is A

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.