Cicillidn
Answered

Get the information you need with the help of IDNLearn.com's expert community. Join our interactive community and access reliable, detailed answers from experienced professionals across a variety of topics.

Point T partitions segment JZ at a ratio of 1:2 from point J. If point Z is located at (2,2) and point T is located at (4,-2) , where is point J located?​

Sagot :

Abidemiokinidn

The location of point J is at (8, -10) if point Z is located at (2,2) and point T is located at (4,-2),

The midpoint theorem is expressed as:

[tex]M(x, y)=(\frac{ax_1+bx_2}{a+b} \frac{ay_1+by_2}{a+b} )[/tex]

where:

a:b be in the ratio of 1:2

Substitute the given coordinates T(4, -2) and Z(2, 2) into the formula to get the coordinate J(x₁, y₁)

[tex]x =\frac{ax_1+bx_2}{a+b}\\4 =\frac{1x_1+2(2)}{1+2}\\4(3) = x_1+4\\12 = x_1 + 4\\x_1 = 8[/tex]

Get the other coordinate of J, y1

[tex]y =\frac{ay_1+by_2}{a+b}\\-2 =\frac{1y_1+2(2)}{1+2}\\-2(3) = y_1+4\\-6 = y_1 + 4\\y_1 = -6-4\\y_1 =-10[/tex]

Hence the location of point J is at (8, -10) if point Z is located at (2,2) and point T is located at (4,-2).

Learn more here: https://brainly.com/question/3510899

We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. For trustworthy answers, rely on IDNLearn.com. Thanks for visiting, and we look forward to assisting you again.