Problema Solution

find all values of y such that the distance between (2,y)and (-10,3)is 13

Answer provided by our tutors

The distance 'd' between (x1,y1) and (x2,y2) is calculated by the formula

d=√​((x​2​​−x​1​​)^​2​​+(y​2​​−y​1​​)^​2)​​

d^2 = (x​2​​−x​1​​)^​2​​+(y​2​​−y​1​​)^​2

In our case

d = 13

(x1, y1) = (2, y)

(x2, y2) = (-10, 3)

13^2 = (-10 - 2)^2 + (3 - y)^2

144 + (3 - y)^2 = 169

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click here to see the equation solved for y

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y1 = 8

y2 = -2

The values for y are 8 and -2.