Question

Calculate the distance between the two points. C(3, 2) and E(7, -1)

Answer 1

5

Explanation:

To find the answer, we draw a right triangle

the difference between the x coordinates is 4 and the difference in the y coordinates is 3

to find the hypotenuse we do

a^2+b^2=c^2

so

4^2+3^2=c^2

16+9

25=c^2 and the sqrt of 25 is 5 so

c=5

Answer 2

`\boxed{ \bold{ \huge{ \boxed{ \sf{5 \: units}}}}}`

Explanation:

Let C ( 3 , 2 ) be ( x₁ , y₁ ) and E ( 7 , - 1 ) be ( x₂ , y₂ )

Finding the distance between these two points

`\boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^(2) + {(y2 - y1)}^(2) } }}`

`\dashrightarrow{ \sf{ \sqrt{ {(7 - 3)}^(2) + {( - 1 - 2)}^(2) } }}`

`\dashrightarrow{ \sf{ \sqrt{ {(4)}^(2) + {( - 3)}^(2) } }}`

`\dashrightarrow{ \sf{ √(16 + 9)}}`

`\dashrightarrow{ \sf{ √(25) }}`

`\dashrightarrow{ \sf{ \sqrt{ {(5)}^(2) } }}`

`\dashrightarrow{ \sf{ 5 \: units}}`

Hope I helped!

Best regards! :D