SOLUTION: plot and find the distance from the orgin to each of the following points .If your answer is irrational,leave it in radical form. a.(3,-7) b.(-4,6) c.(0,5) d.(6,0) e.(-2,-4)

Algebra ->  Trigonometry-basics -> SOLUTION: plot and find the distance from the orgin to each of the following points .If your answer is irrational,leave it in radical form. a.(3,-7) b.(-4,6) c.(0,5) d.(6,0) e.(-2,-4)       Log On


   

Question 401545: plot and find the distance from the orgin to each of the following points .If your answer is irrational,leave it in radical form.
a.(3,-7)
b.(-4,6)
c.(0,5)
d.(6,0)
e.(-2,-4)
f.(0,0)
my answers :
but i dont know what they mean by leave it radical form
a.sqrt 58
b.Sqrt 52 = 2sqrt 13 or should i just leave it 52
c.5
d.6
e.i dont know ?? is it 2 sqrt5 or should i just leave it 20
f.0
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

a.(3,-7)
Solved by pluggable solver: Distance Formula to determine length on coordinate plane
The distance (d) between two points is given by the following formula:

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

Thus in our case, the required distance is
d=sqrt%28%283-0%29%5E2+%2B+%28-7-0%29%5E2%29=+7.61577310586391+


For more on this concept, refer to Distance formula.



b.(-4,6)
Solved by pluggable solver: Distance Formula to determine length on coordinate plane
The distance (d) between two points is given by the following formula:

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

Thus in our case, the required distance is
d=sqrt%28%28-4-0%29%5E2+%2B+%286-0%29%5E2%29=+7.21110255092798+


For more on this concept, refer to Distance formula.



c.(0,5)
Solved by pluggable solver: Distance Formula to determine length on coordinate plane
The distance (d) between two points is given by the following formula:

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

Thus in our case, the required distance is
d=sqrt%28%280-0%29%5E2+%2B+%285-0%29%5E2%29=+5+


For more on this concept, refer to Distance formula.


d.(6,0)
Solved by pluggable solver: Distance Formula to determine length on coordinate plane
The distance (d) between two points is given by the following formula:

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

Thus in our case, the required distance is
d=sqrt%28%286-0%29%5E2+%2B+%280-0%29%5E2%29=+6+


For more on this concept, refer to Distance formula.


e.(-2,-4)
Solved by pluggable solver: Distance Formula to determine length on coordinate plane
The distance (d) between two points is given by the following formula:

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

Thus in our case, the required distance is
d=sqrt%28%28-2-0%29%5E2+%2B+%28-4-0%29%5E2%29=+4.47213595499958+


For more on this concept, refer to Distance formula.


f.(0,0)
Solved by pluggable solver: Distance Formula to determine length on coordinate plane
The distance (d) between two points is given by the following formula:

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

Thus in our case, the required distance is
d=sqrt%28%280-0%29%5E2+%2B+%280-0%29%5E2%29=+0+


For more on this concept, refer to Distance formula.