Point A is the midpoint of CT which means the ratio of CA:CT would be 1:2.
To find CT, you need to find the distance of CA then applies 2 times of the distance to the point C
Xca= Xa-Xc= 1- (-2)= 3
Yca= Ya- Yc= -3 -5= -8
Xt= Xc + 2* Xca= -2 + 2*3= 4
Yt= Yc + 2* Yca= 5 + 2*-8= -11
T(Xt, Yt)= T(4, -11)
The coordinate for point T would be (4, -11)
Step-by-step explanation:
c/(c - 5) = 4/(c - 4)
By Cross-multiplying,
We have c(c - 4) = 4(c - 5).
=> c² - 4c = 4c - 20
=> c² - 8c + 20 = 0
Since the discriminant is negative,
there are no real solutions for c.
However, there exist complex solutions for c.
Using the Quadratic Formula,
c = [8 ± √(-16)]/2
=> c = 4 ± √(-4)
=> c = 4 ± 4i or c = 4(1 ± i).
