Answer:
The answer to your question is 9[tex]\sqrt{2}[/tex] or 12.72
Step-by-step explanation:
Data
Point A = (-5, 7)
Point B = (4, -2)
x1 = -5 y1 = 7
x2 = 4 y2 = -2
Formula
dAB = [tex]\sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2}}[/tex]
Substitution
dAB = [tex]\sqrt{(4 + 5)^{2}+ (-2 - 7)^{2}}[/tex]
Simplification
dAB = [tex]\sqrt{(9)^{2} + (-9)^{2}}[/tex]
dAB = [tex]\sqrt{81 + 81}[/tex]
dAB = [tex]\sqrt{162}[/tex]
Result
dAB = 9[tex]\sqrt{2} or 12.72[/tex]
Both results are correct but some teachers prefer a special result.
Answer:
Step-by-step explanation:
The formula for determining the distance between two points on a straight line is expressed as
Distance = √(x2 - x1)² + (y2 - y1)²
Where
x2 represents final value of x on the horizontal axis
x1 represents initial value of x on the horizontal axis.
y2 represents final value of y on the vertical axis.
y1 represents initial value of y on the vertical axis.
From the graph given,
x2 = 4
x1 = - 5
y2 = - 2
y1 = 7
Therefore,
Distance = √(4 - - 5)² + (- 2 - 7)²
Distance = √9² + (-9)² = √81 + 81 = √162
Distance = 12.73
