Answer: d = 10
Step-by-step explanation:
Step-by-step explanation:
The formula for calculating distance between two points is given by :
d = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]x_{1}[/tex] = -3
[tex]x_{2}[/tex] = 5
[tex]y_{1}[/tex] = 11
[tex]y_{2}[/tex] = 5
substituting the values , we have
d = [tex]\sqrt{(5-(-3))^{2}+(5-11)^{2}}[/tex]
d = [tex]\sqrt{(5+3)^{2}+(-6)^{2}}[/tex]
d = [tex]\sqrt{(8)^{2}+(-6)^{2}}[/tex]
d = [tex]\sqrt{64+36}[/tex]
d = [tex]\sqrt{100}[/tex]
d = 10
Answer: the first option is the correct 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 = - 3
x1 = 5
y2 = 5
y1 = 11
Therefore,
Distance = √(- 3 - 5)² + (5 - 11)²
Distance = √(- 8² + -6²) = √(64 + 36) = √100 = 10
Distance = 10
