Respuesta :
Answer:
3√2 or 4.24
Step-by-step explanation:
d(w,x) = √(5-2)² + (-4-(-7))² = √18 = 3√2 (4.24)
The length of WX is √6.
What is the length of two points ?
The distance between two points is defined as the length of straight line connecting these points in the coordinate plane. This distance can never be negative, therefore we take absolute value of these points.
If there are two points P(x₁,y₁) and Q(x₂,y₂) are two points in the coordinate plane. Then distance between them will be
PQ = √(x₂-x₁) + (y₂-y₁)
Now the given points are W(2,-7) and X(5,-4).
Therefore,distance between W(2,-7) and X(5,-4) is the length WX.
Let Point W(2,-7) is W(x₁,y₁)
and Point X(5,-4) is X(x₂,y₂)
∴ Lenght WX is given by
WX = √(x₂-x₁) + (y₂-y₁)
WX = √(5-2) + (-4-(-7))
WX = √3 + (-4 + 7)
WX = √3 + 3
WX = √6
Hence,the length of WX is √6.
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