Question

of y
Find the value
of y if the distance
between the points (2,y)
and (-4, 3) is 10​

Answer 1

Step-by-step explanation:

By using the distance formula

d=√(x2-x1)+ (y2-y1)

d=√(-4-2)^2+(3-y)^2

d=√(-6)^2+(3-y)^2

d=√36+(9+y^2-6y)

d=√36+9+y^2-6y

10=√45+y^2-6y

10=√y^2-6y+45

Taking square on both sides

(10)^2=(√y^2-6y+45)^2

100=y^2-6y+45

y^2-6y+45-100=0

y^2-6y-55=0

y^2-11y+5y-55=0

y(y-11)+5(y-11)=0

(y+5)(y-11)=0

y+5=0 y-11=0

y=-5 y=11 (answer)