NEED GEOMETRY HELP ASAP PLEASE (12 POINTS)

2 times the square root of 10

Step-by-step explanation:

If you make a right triangle and solve for the hypotenuse (the distance between P1 and P2), you will get 2 times the square root of 10.

Please mark this brainliest.

Step-by-step explanation:

if you draw a triangle starting from P1 and go up to the y value of P2, the change in y is equal to 6.

From that point, go to the right until you hit P2 to get a change in x of 2.

Youre basically missing the hypotenuse of this triangle that you drew. Which is where the distance formula is derived from. 6^2 + 2^2 = s^2

You get √40 = s. It appears that they want you to simplify this square root. What are the two greatest numbers that multiply to equal 40 and atleast one of them has a perfect square root? That's 10 and 4. you can perfectly take the square root of 4, so go ahead and do that. Put that 2 outside of the square root. That gives you

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>