From the figure, let the distance of point P from point A on line segment AB be x and let the angle opposite side a be M and the angle opposite side c be N.
Using pythagoras theorem,

and

Angle θ is given by

Given that a = 4 units, b = 5 units, and c = 9 units, thus

To maximixe angle θ, the differentiation of <span>θ with respect to x must be equal to zero.
i.e.

Given that x is a point on line segment AB, this means that x is a positive number less than 5.
Thus

Therefore, The distance from A of point P, so that </span>angle θ is maximum is 0.51 to two decimal places.
Answer:
Step-by-step explanation:
Like terms have same variable with same power. Combine like terms
153y³ + 132y² + 6y - 5 - 3y³ - 5y² +4y - 2
= <u>153y³ - 3y³</u> + 132y² - 5y² + 6y + 4y <u> -5 - 2</u>
= <u>150y³</u> + 127y² + 10y<u> - 7</u>