Find the distance between the points (4, 3) and (0, 3).
*
10
12
4
2
The distance between the points (4, 3) and (0, 3) is 4 units.
Explanation:
The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, we have:
x1 = 4, y1 = 3 (coordinates of the first point)
x2 = 0, y2 = 3 (coordinates of the second point)
Substituting these values into the distance formula, we get:
d = sqrt((0 - 4)^2 + (3 - 3)^2)
= sqrt((-4)^2 + 0^2)
= sqrt(16)
= 4
Therefore, the distance between the points (4, 3) and (0, 3) is 4 units.
To find the distance between two points in a Cartesian coordinate system, you can use the distance formula. The formula is:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the given points are (4, 3) and (0, 3). Let's label the first point as (x1, y1) and the second point as (x2, y2).
x1 = 4
y1 = 3
x2 = 0
y2 = 3
Now, substitute these values into the distance formula:
Distance = sqrt((0 - 4)^2 + (3 - 3)^2)
Simplifying this formula:
Distance = sqrt((-4)^2 + (0)^2)
Distance = sqrt(16 + 0)
Distance = sqrt(16)
Distance = 4
So, the distance between the points (4, 3) and (0, 3) is 4 units.
To find the distance between the two points (4, 3) and (0, 3), you can use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
By substituting the coordinates of the two points into the formula, we get:
d = √((0 - 4)^2 + (3 - 3)^2)
= √((-4)^2 + 0^2)
= √(16 + 0)
= √16
= 4
Therefore, the distance between the points (4, 3) and (0, 3) is 4 units.