SOLUTION: Hello out there,I need some help with some tough problems,the first one is,Find the distance between the two points given.Round to the nearest tenth,if necessary.(4,0)and(6,3).The

Algebra ->  Algebra  -> Radicals -> SOLUTION: Hello out there,I need some help with some tough problems,the first one is,Find the distance between the two points given.Round to the nearest tenth,if necessary.(4,0)and(6,3).The       Log On

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Question 110880: Hello out there,I need some help with some tough problems,the first one is,Find the distance between the two points given.Round to the nearest tenth,if necessary.(4,0)and(6,3).The next one is,Find the distance between the two points given.Round to the nearest tenth,if necessary.(1,1)and(3,2).The third one is,Find the distance between the two points given.Round to the nearest tenth,if necessary.(5,2)and(5,-2).And the last one is,Find the distance between the two points given.Round to the nearest tenth,if necessary,(1,3)and(1,5).Thanks to whoever can help.
Answer by MathLover1(3376) About Me  (Show Source):
You can put this solution on YOUR website!

1.
Solved by pluggable solver: Distance between two points in two dimensions
The distance (denoted by d) between two points in two dimensions is given by the following formula:

d=sqrt%28%28x1-x2%29%5E2+%2B+%28y1-y2%29%5E2%29

Thus in our case, the required distance is
d=sqrt%28%284-6%29%5E2+%2B+%280-3%29%5E2%29=+3.60555127546399+


For more on this concept, refer to Distance formula.



2.
Solved by pluggable solver: Distance between two points in two dimensions
The distance (denoted by d) between two points in two dimensions is given by the following formula:

d=sqrt%28%28x1-x2%29%5E2+%2B+%28y1-y2%29%5E2%29

Thus in our case, the required distance is
d=sqrt%28%281-3%29%5E2+%2B+%281-2%29%5E2%29=+2.23606797749979+


For more on this concept, refer to Distance formula.


3.
Solved by pluggable solver: Distance between two points in two dimensions
The distance (denoted by d) between two points in two dimensions is given by the following formula:

d=sqrt%28%28x1-x2%29%5E2+%2B+%28y1-y2%29%5E2%29

Thus in our case, the required distance is
d=sqrt%28%285-5%29%5E2+%2B+%282--2%29%5E2%29=+4+


For more on this concept, refer to Distance formula.


4.
Solved by pluggable solver: Distance between two points in two dimensions
The distance (denoted by d) between two points in two dimensions is given by the following formula:

d=sqrt%28%28x1-x2%29%5E2+%2B+%28y1-y2%29%5E2%29

Thus in our case, the required distance is
d=sqrt%28%281-1%29%5E2+%2B+%283-5%29%5E2%29=+2+


For more on this concept, refer to Distance formula.