64.6k views
1 vote
Identify the expressions that correctly model the distance between a point located at (-2, 3) and the point (x, y). Select all that apply

Identify the expressions that correctly model the distance between a point located-example-1
User Livius
by
7.6k points

1 Answer

4 votes

The formula for determining the distance between two points is expressed as


d\text{ = }\sqrt[]{(x2-x1)^2+(y2-y1)^2}

From the information given,

x1 = - 2, y1 = 3

x2 = x, y2 = y


\begin{gathered} d\text{ = }\sqrt[]{(x--2)^2+(y-3)^2} \\ d\text{ = }\sqrt[]{(x+2)^2+(y-3)^2} \end{gathered}

The 3rd option is correct. This is so because

(x + 2)^2 would always be equal to (- 2 - x)^2 regardless of the value of x

(3 - y)^2 would always be equal to (y - 3)^2 regardless of the value of y

The 10th option is correct

User Dan Newton
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.