find y so that the distance between the points is 8:
(0,0) (3,y)
using the distance formula..
8=sqrt (3^2 + y^2)
square bot sides.
64=9+y^2
subtract 9 from both sides
55=y^2
y=sqrt 55
The distance formula is just the pythagorean theorem(x^2+y^2=hypotenuse^2). If you know x (0+3=3) and you know the hypotenuse (8), you can find y.
3^2 + y^2 = 8^2
9 + y^2 = 64
y^2 = 55
y = sqrt(55)
To find the value of y such that the distance between the points (0,0) and (3,y) is 8, you can use the distance formula.
The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, (x1, y1) = (0,0) and (x2, y2) = (3,y). We want to find y when the distance d is equal to 8:
8 = sqrt((3 - 0)^2 + (y - 0)^2)
Simplifying the equation, we have:
64 = (3^2) + y^2
64 = 9 + y^2
Subtracting 9 from both sides, we get:
55 = y^2
Taking the square root of both sides, we have:
√55 = y
So, the value of y that satisfies the condition is y = √55 (approximately 7.42).
Therefore, when y is approximately 7.42, the distance between the points (0,0) and (3,y) will be 8.