Find the distance between two points which have the coordinates of (5,1) and (8, 5).
I am sure that given this type of question, somewhere in your notes or in your text you have come across the "distance between two points" formula
This is a very fundamental and simple problem, let me know what you got so far.
To find the distance between two points (x1, y1) and (x2, y2), you can use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's substitute the given coordinates into the formula:
x1 = 5
y1 = 1
x2 = 8
y2 = 5
Now, calculating the distance:
d = sqrt((8 - 5)^2 + (5 - 1)^2)
= sqrt(3^2 + 4^2)
= sqrt(9 + 16)
= sqrt(25)
= 5
Therefore, the distance between the points (5, 1) and (8, 5) is 5 units.
To find the distance between two points with given coordinates, you can use the distance formula. The distance between two points (x1, y1) and (x2, y2) is given by the formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of the two points are (5, 1) and (8, 5). Let's assign these values to the variables (x1, y1) and (x2, y2) respectively in the formula:
(x1, y1) = (5, 1)
(x2, y2) = (8, 5)
Substituting these values into the formula, we have:
d = sqrt((8 - 5)^2 + (5 - 1)^2)
= sqrt(3^2 + 4^2)
= sqrt(9 + 16)
= sqrt(25)
= 5
Therefore, the distance between the two points (5, 1) and (8, 5) is 5 units.