Given:
The given expression is:
According to Kylie,
To find:
The correct statement for Kylie's explanation.
Solution:
We have,
According to the perfect square trinomial .
Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
Therefore, the correct option is C.
↝ Form into where a > 0 (Optional)
↝ Multiply -1 for both sides.
↝ Then proceed with the Quadratic Formula.
x = [-b ± (√b²-4ac)]/2a ↝ Quadratic Formula
↝ As you can see that inside the square root, the numbers cannot be negative. Therefore, the solutions are imaginary.
↝ Solution with Real Numbers System ↝ There are no real solutions.
↝ Solution with Complex Number System ↝
Therefore, the answer for Complex Number System is (5±√7i)/2
Complete Question
The complete question is shown on the first uploaded image
Answer:
The optimal point(i.e the position of P) that will allow Sally to reach the cabin as quickly as possible is from the cabin.
Step-by-step explanation:
From the question we are told that
The speed from the point Sally is standing to the point P is
The speed from the point P to the cabin is
Let denote the distance from the bottom left corner to the P be y ft
Generally according to Pythagoras theorem the distance from Sally's first position to point P is mathematically represented as
Generally the distance from that point P to the cabin is mathematically represented as
Generally the time it takes Sally to cover that distance s is mathematically represented as
=>
Generally the time it takes Sally to cover that distance d is mathematically represented as
=>
So the total time taken is
Generally the minimum time taken with respect to the distance is mathematically evaluated by differentiating and equating the derivative to 0
So
=>
=>
=>
=>
So the distance from point P to the cabin is
=>
So the optimal point(i.e the position of P) that will allow Sally to reach the cabin as quickly as possible is from the cabin
