on the cordinate plane what is the distance between the ponts 4,6 and 9,6
Mathematics
huda1nassir
Question
on the cordinate plane what is the distance between the ponts 4,6 and 9,6
1 Answer

1. User Answers gmany
Answer:
13
Stepbystep explanation:
METHOD 1:
The formula of a distance between two points:
[tex]d=\sqrt{(x_2x_1)^2+(y_2y_1)^2}[/tex]
Substitute the coordinates of the given points (4, 6) and (9, 6):
[tex]d=\sqrt{(9(4))^2+(66)^2}=\sqrt{(9+4)^2+0^2}=\sqrt{13^2}=13[/tex]
METHOD 2:
We can see that the second coordinates of the points (ordinate) are the same. Therefore, they lie on a horizontal line. The distance between them is the distance between the x coordinates (abscissa).
The formula of a distance between two numbers:
[tex]d=ba[/tex]
We have
[tex]a=4,\ b=9[/tex]
Substitute:
[tex]d=9(4)=9+4=13=13[/tex]