If A(2, x) , B(x, 8) and AB = 3√2 cm, then x = ?

x =5

Step-by-step explanation:

Using the formula for calculating the distance between two points

D = √(x2-x1)²+(y2-y1)²

Given the points A(2, x) , B(x, 8) and AB = 3√2

On substituting the given values into the formula;

AB = √(x-2)²+(8-x)²

3√2= √(x-2)²+(8-x)²

square both sides

(3√2)²= (x-2)²+(8-x)²

18 = (x-2)²+(8-x)²

expand

18 = x²-4x+4+64-16x+x²

18 = 2x²-20x+68

2x²-20x+68-18 = 0

2x²-20x+50 = 0

x²-10x+25 = 0

Factorize

x²-5x-5x+16 = 0

x(x-5)-5(x-5) = 0

(x-5)(x-5) = 0

x-5 = 0 an x-5 = 0

x = 5

the answer is 0.5 mpm

step-by-step explanation:

the line goes half way through the square each time (which is 0.5 or half of course) so that would mean its 0.5 mpm.

1. minimum

2. 6400

3. eight

hope this !