The time a projectile spends in the air can be modeled by the equation t² -8t + 15 = 0, in which t represents the amount of time traveled, in seconds. Which equation is equivalent to t² -8t + 15 = 0?
(t -3)(t + 5) = 0
(t + 3)(t - 5) = 0
(t - 3)(t -5) = 0
(t = 3)(t + 5) = 0

Respuesta :

Answer:

The equation which is equivalent to [tex]t^2-8t+15=0[/tex] is

[tex](t-3)(t-5)=0[/tex]

Step-by-step explanation:

Given that the time a projectile spends in the air can be modeled by the equation [tex]t^2-8t+15=0[/tex], where t represents the amount of time traveled in seconds.

To find the equation is equivalent to  [tex]t^2-8t+15=0[/tex] :

[tex]t^2-8t+15=0[/tex]

[tex]t^2-3t-5t+15=0[/tex]

[tex]t(t-3)-5(t-3)=0[/tex]

[tex](t-3)(t-5)=0[/tex]

Therefore the equation which is equivalent to  [tex]t^2-8t+15=0[/tex] is

[tex](t-3)(t-5)=0[/tex]