Question

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)?​

Answer 1

Here,

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

So,

x1=5

x2=9

y1=1

y2= -6

we know that,

Distance formula:-
`\bold{D=√((x_2 - x_1 )^2+(y_2 - y_1)^2) }`

According to the question,

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

`\bold{D=\sqrt{(5-9)^2+(1-\{-6\})^2} }`

`\bold{D=√((5-9 )^2+(1+6)^2) }`

so,

option C is correct..

Answer 2

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:
  `\displaystyle d = √((x_2-x_1)^2+(y_2-y_1)^2)`

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]:
   `\displaystyle d = √((5-9)^2+(1+6)^2)`