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HELP ME RN PLEASEEEE
[WILL GIVE BRAINLY TO CORRECT AND BEST EXPLAINED ANSWER]


HELP ME RN PLEASEEEE WILL GIVE BRAINLY TO CORRECT AND BEST EXPLAINED ANSWER class=

Sagot :

Answer:

[tex]\boxed {\boxed {\sf d= \sqrt{34}}}[/tex]

Step-by-step explanation:

We want to find the distance between two points, so the following formula is used.

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Where (x₁, y₁) and (x₂, y₂) are the points we are finding the distance between.

We are given the points (-2, -1) and (3,2). If we match the corresponding value and variable we see that:

  • x₁= -2
  • y₁= -1
  • x₂= 3
  • y₂= 2

Substitute the values into the formula.

[tex]d= \sqrt {(-2-3)^2+(2--1)^2[/tex]

Solve the parentheses.

  • -2 -3 = -5
  • 2--1 = 2+ 1 = 3

[tex]d= \sqrt{(-5)^2+(3)^2[/tex]

Solve the exponents.

  • (-5)²= -5*-5= 25
  • (3)²= 3*3=9

[tex]d= \sqrt{25+9}[/tex]

Add.

[tex]d= \sqrt{34}[/tex]

This radical cannot be simplified, so the distance between the two points is √34 and choice 3 is correct.

D = 34 your welcome mark me please choice threee will be correct