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Which expression gives the distance between the points (5, 1) and (9,-6)? O A. (5-9)2 + (1+6)2 O B. 15 - 9)2 + (1 - 6)? O C. /15 - 9)2 + (1 +6) OD. (5-9)2 + (1 - 6)?​

Which expression gives the distance between the points 5 1 and 96 O A 592 162 O B 15 92 1 6 O C 15 92 1 6 OD 592 1 6 class=

Respuesta :

Space

Answer:

C.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Algebra II

  • Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (5, 1)

Point (9, -6)

Step 2: Identify

x₁ = 5, x₂ = 9

y₁ = 1, y₂ = -6

Step 3: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

  1. Substitute in points [DF]:                    [tex]\displaystyle d = \sqrt{(5-9)^2+(1+6)^2}[/tex]

Here,

two points are (5,1) and (9,-6)

So,

x1=5

x2=9

y1=1

y2= -6

we know that,

Distance formula:- [tex]\bold{D=\sqrt{(x_2 - x_1 )^2+(y_2 - y_1)^2} }[/tex]

According to the question,

Distance between (5,1) and (9,-6)

[tex]\bold{D=\sqrt{(5-9)^2+(1-\{-6\})^2} }[/tex]

[tex]\bold{D=\sqrt{(5-9 )^2+(1+6)^2} }[/tex]

so,

option C is correct..

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