Answer:
Step-by-step explanation:
To find the values of the angle which makes maximum r you use the derivative of r

If you equals this derivative to zero you obtain the value of the angle:

However, the values of 5π/6 and 9π/6 are also available, because makes the sinusoidal function equal to 1.
hence, the answer is:

answer b
Answer: An armistice is a truce, typically used in wars to stop the fighting, battles, etc. Also a holiday in France.
As you move from left to right, the number of points in the star increases by 1 and is the best option which describes the diagram which is therefore denoted as option B.
<h3>What is a Point?</h3>
This can be referred to an important object in geometry and is usually represented by a dot. It also helps to tell the exact location of substances or objects and doesn't have certain parameters such as the length or width.
We can deduce that Star 1 has four points, star 2 has five points and star 3 has six points. We can therefore infer that the stars in the diagram given below has some amount of points which increases by one as we move from left to right thereby making it the most appropriate choice in this type of scenario.
Read more about Point here brainly.com/question/17206319
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Answer:
x^4 -53x^2 +108x +160
Step-by-step explanation:
If <em>a</em> is a zero, then (<em>x-a</em>) is a factor. For the given zeros, the factors are ...
p(x) = (x +8)(x +1)(x -4)(x -5)
Multiplying these out gives the polynomial in standard form.
= (x^2 +9x +8)(x^2 -9x +20)
We note that these factors have a sum and difference with the same pair of values, x^2 and 9x. We can use the special form for the product of these to simplify our working out.
= (x^2 +9x)(x^2 -9x) +20(x^2 +9x) +8(x^2 -9x) +8(20)
= x^4 -81x^2 +20x^2 +180x +8x^2 -72x +160
p(x) = x^4 -53x^2 +108x +160
_____
The graph shows this polynomial has the required zeros.
Answer:
(-1/2, 27/2)
Step-by-step explanation:
Midpoint formula: (x^1 +x^2/ 2, y^1 +y^2/ 2)
(-4 +3 /2, 12+15/ 2) -> (-1/2, 27/2)