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iragen [17]
4 years ago
7

Find a cubic polynomial in standard form with real​ coefficients, having the zeros 4 and 5i. Let the leading coefficient be 1.

Mathematics
1 answer:
SCORPION-xisa [38]4 years ago
3 0
If one of our zeros is 4, then the factor is x-4.  If the second zero is 5i, then the conjugate root theorem says there HAS to be a root that is -5i.  So our 3 factors are (x-4)(x+5i)(x-5i).  We will FOIL out these factors to get the polynomial.  Let's start with the ones that contain the imaginary numbers.  Doing that mutliplication we get x^2-25i^2.  i^2 is equal to -1, so what that expression simplifies down to is x^{2} +25.  Now we will multiply in that last factor of (x-4):  (x^2+25)(x-4).  FOILing out we have x^3-4x^2+25x-100.  There you go!
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If (x, 42) is a solution to the equation y = -6 (x – 15) – 3, find x
Molodets [167]

Put y and find x

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  • 42=-6(x-15)
  • 42+3=-6(x-15)
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Question<br> What is a claim on an insurance policy?
Yuki888 [10]

Answer:

An insurance claim is a formal request by a policyholder to an insurance company for coverage or compensation for a covered loss or policy event. The insurance company validates the claim and, once approved, issues payment to the insured or an approved interested party on behalf of the insured

Step-by-step explanation:

6 0
4 years ago
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Given sec theta=-4/3 and 90 degrees &lt; theta&lt; 180 degrees; find sin 2 theta
babunello [35]

Answer:

Answer is option "a" i.e.

\frac{-3\sqrt{7}}{8}

Step-by-step explanation:

sin2Ф = 2sinФ.cosФ

So, we need values of sinФ and cosФ but we are given secФ. We can find sinФ and cosФ with the help of secФ first by finding all sides of triangle and then by using Pythagorean theorem.

Given that,

secФ = -4/3

While,

secФ = hypotenuse/base

Hence,

<u>length of hypotenuse = 4</u>

<u>length of base = 3</u>

To find perpendicular we'll use Pythagorean theorem:

(hyp)² = (base)² + (perp)²

perp = \sqrt{hyp^2 - base^2}

perp = \sqrt{16-9}\\ perp = \sqrt{7}

<u>length of perpendicular = √7</u>

Now, to find sinФ and cosФ

sinФ = perp/hyp

<u>sinФ = √7/4</u>

cosФ = base/hyp

<u>cosФ = 3/4</u>

<h3><u>Finally to find sin2Ф</u></h3>

sin2Ф = 2sinФ.cosФ

=2*\frac{\sqrt{7}}{4} *\frac{3}{4}\\=\frac{3\sqrt{7}}{8}

<h3><u>negative sign of sin2Ф</u></h3>

As 90≤Ф≤180

So multiplying it by 2

180≤Ф≤360

which is 3rd and 4th coordinate in which sin has negative value.  

6 0
3 years ago
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Sooo I need to know the answer to the second picture
tatuchka [14]

Answer:

Origin symmetry?

Step-by-step explanation:

I believe it's origin, simply because it isn't symmetric according to either the x or y axis, but I'm not 100% sure

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3 friends' meals at a resuraunt cost $13 $14 and $11. Use perentheses to write two diffrent expressions to show how much they sp
klemol [59]

Answer:

38

Step-by-step explanation:

(11+13)+14

11+13=24

24+14=38

8 0
4 years ago
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