Question

Multiple Choice
1. Which of the following is the correct form of the distance formula? (1 point)
d=(33 – x;) +(12 – Y;)
mm 2 m ( 20 COO
a = √(x - 2)² + (x2 - y2)
= V(x2 – xz)-(-y)
a = √(x2-x;)²-(32-33)
d =
2. Use the distance formula to find the distance between the points (-3.8) and (-4. -
the nearest hundredth, if necessary.

Answer 1

Answer:

1. The formula used to the find distance formula is: $Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

2. The distance between the points (-3,8) and (-4, -2) is 10.04

Step-by-step explanation:

1. Which of the following is the correct form of the distance formula?

The formula used to the find distance formula is: $Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

2. Use the distance formula to find the distance between the points (-3.8) and (-4. -?)

Note: Since the y-term in (-4,-) is missing So, I am using -2 to solve the question and find distance. You can use the term given in question and replace it with -2 and use this solution as reference to solve and find the correct answer.

We have points (-3,8) and (-4,-2)

Putting values in distance formula and finding result:

$Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have x_1=-3, y_1=8, x_2=-4, y_2=-2

$Distance=\sqrt{(-2-(-3))^2+(-2-8)^2}\\Distance=\sqrt{(-2+3)^2+(-2-8)^2}\\Distance=\sqrt{(1)^2+(-10)^2}\\Distance=\sqrt{1+100}\\Distance=\sqrt{101}\\Distance=10.04$

So, the distance between the points (-3,8) and (-4, -2) is 10.04