Question

2. On the grid below, what is the distance between points A and B?

Answer 1

Answer:

8√2

Step-by-step explanation:

A = ( -2 , 2 ) and B = ( 6 , -6 )

→ State the distance formula

√ ( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

→ Assign values

x₂ = 6 , x₁ = -2 and y₂ = -6, y₁ = 2

→ Substitute into the formula

√ ( ( 6 - (-2) )² + ( -6 - 2 )² )

→ Simplify

√ ( 8 )² + ( -8 )²

→ Further simplify

8√2

Answer 2

Answer: Its 11.31 or $\sqrt{128}$

Step-by-step explanation:

So the distance formula is d=√((x_2-x_1)²+(y_2-y_1)²).

Point A is (-2,2) and Point B is (6,-6).

So then we replace the numbers

d=√(6+2)²+(-6-2)²

d=√(8)²+(-8)²

d=√64+64.

d=√128.

d=11.31