find the missing coordinate.
d=5 (b,4) and (2,-1)
To find the missing coordinate, we can use the distance formula. The distance formula calculates the distance between two points in a coordinate plane, given their coordinates.
Let's label the missing coordinate as (x,y). We know the distance between (b,4) and (2,-1), which is given as d = 5.
The distance formula is √((x2 - x1)^2 + (y2 - y1)^2), where (x1,y1) and (x2,y2) are the coordinates of the two points.
Using this formula, we can substitute the given values:
5 = √((2 - b)^2 + (-1 - 4)^2)
Simplifying the equation, we have:
25 = (2 - b)^2 + (-1 - 4)^2
25 = (2 - b)^2 + (-5)^2
25 = (2 - b)^2 + 25
Now, we can isolate the squared term:
(2 - b)^2 = 25 - 25
(2 - b)^2 = 0
Taking the square root of both sides gives us:
2 - b = 0
Solving for b:
2 = b
Therefore, the missing coordinate is (2, y), where y can be any value.