Distance between AB (0, 6) to (7, -2)

Step-by-step explanation:

To find the distance, we first do B - A:

(7, -2) - (0, 6) = (7 - 0, -2-6) = (7, -8)

Imagine it as a triangle, where the hypotenuse is the distance, and 7 and -8 are the lengths of the sides.  

To find the hypotenuse (Pythagorean Theorem):   =

The answer is the square root of 113.

thats not a system of equations, that is a solution

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2