Question

The distance between points (3,3) and (-5,-3) is ___ ?

5
3/2
11
10

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Answer 1

`\huge \sf{ \dashrightarrow}  \sf \:༆ Answer ༄`

Let's solve ~

The distance between two points is :

`\sf \: \sqrt{(x_2 - x_1) {}^(2) + (y_2 - y_1) {}^(2) }`

[ By using Distance Formula ]

Now, use the coordinates of the points, to find actual between the points ;

that is ~

`{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \sqrt{( - 5 - 3) {}^(2) + ( - 3 - 3) {}^(2) }`

`{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \sqrt{( -8) {}^(2) + ( - 6) {}^(2) }`

`{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: √(64 + 36)`

`{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: √(100)`

`{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: √(10 * 10)`

`{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:10 \: \: units`