SOLUTION: Compute the distance between the two points (1-√2,-1) and (2+√2,4).

Algebra.Com
Question 980913: Compute the distance between the two points (1-√2,-1) and (2+√2,4).
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: Distance Formula


The first point is (x1,y1). The second point is (x2,y2)


Since the first point is (-0.414213562373095, -1), we can say (x1, y1) = (-0.414213562373095, -1)
So ,


Since the second point is (3.41421356237309, 4), we can also say (x2, y2) = (3.41421356237309, 4)
So ,


Put this all together to get: , , , and

--------------------------------------------------------------------------------------------


Now use the distance formula to find the distance between the two points (-0.414213562373095, -1) and (3.41421356237309, 4)






Plug in , , , and













==========================================================

Answer:


The distance between the two points (-0.414213562373095, -1) and (3.41421356237309, 4) is exactly units


The approximate distance between the two points is about 6.29736883543376 units



So again,


Exact Distance: units


Approximate Distance: units







RELATED QUESTIONS

compute the distance between the two points (1-sqrt2, -1) and (2 + sqrt 2, 4). Thanks (answered by Alan3354)
Compute the distance between the two points (1-√2,-1) and (2+√2,... (answered by Alan3354)
Rational and Radical Expressions 1. Simplify the rational expression: x2 – 6x – 7 (answered by gladley)
Solve the following. 1. 9∜7 + 8∜7 - 3∜7 2. 1/2 √2 + 1/2... (answered by lynnlo)
1. Simplify the rational expression: Please show work x2 – 6x – 7 x2 – 1... (answered by checkley71)
Solve the following equations and show work please? 1.) √x-1 = 3 2.) √x^3 (answered by mukhopadhyay)
Rational and Radical Expressions 1. Simplify the rational expression: x2 – 6x – 7 (answered by Edwin McCravy)
Express the given number in terms of i. 5√-100 1/2√-16... (answered by geetha_rama)
If x= √(3+√(2÷√(3−√(2) and y = 1, the value of x -y divided (answered by mananth)