Question

Use the distance formula to find the distance between the points (3, 6) and (8, -1). Round your answer to the nearest tenth place. Use the distance formula to find the distance between the points (14, -2) and (8, -9). Round your answer to the nearest tenth place. Use the distance formula to find the distance between the points (-5, -7) and (-14, -12) Round your answer to the nearest tenth place. Use the distance formula to find the distance between the points (10, 5) and (4, 9)Round your answer to the nearest tenth place. Use the distance formula to find the distance between the points (5, 13) and (9, -21). Round your answer to the nearest tenth place.
PLEASE HELP ASAP!! a

Answer 1

Note: It seems you have asked the exact same type of questions again and again. So, I will solve the first question. The rest of the questions is the carbon copy of the same concept and solution method. Hopefully, it would get your concept clear.

Answer:

The distance between the points (3, 6) and (8, -1)

• $d=8.6$  

Step-by-step explanation:

Given the points

• (3, 6)

• (8, -1)

Finding the distance between the points (3, 6) and (8, -1)

(x₁, y₁) = (3, 6)

(x₂, y₂) = (8, -1)

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

  $=\sqrt{\left(8-3\right)^2+\left(-1-6\right)^2}$

  $=\sqrt{5^2+7^2}$

  $=\sqrt{25+49}$

  $=\sqrt{74}$

$d=8.6$  

Thus, the distance between the points (3, 6) and (8, -1)

• $d=8.6$  

NOTE: All the remaning questions have the same method of solution.