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: 2x^3 + 3x^2 - 11x - 6
Step-by-step explanation: simplified
Do (7x3)=21x7=147 so that’s how you do it hope it helps
For the answer to the question above, first, we must calculate the standard error. The standard error is standard deviation divided by the square root of the sample. In this case, it is equal to 0.178. The z-score has defined the distance from the sample to the population mean in units of standard error.
z = (3 – 2.5)/0.178 = 2.81
at this z-score, the probability is 0.9974 or
if rounded off it is 1%
I hope my answer helped
Answer:
2x-3 = 29
8x = 128
x+7 = 23
Step-by-step explanation:
The sum of the angles of a triangle is 180
2x-3 + 8x+ x+7 = 180
Combine like terms
11x+4 = 180
Subtract 4 from each side
11x+4-4= 180-4
11x = 176
Divide by 11
11x/11 =176/11
x =16
2x-3 = 2*16-3 =32-3 = 29
8x = 8*16 =128
x+7 = 16+7 = 23