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2 years ago

Write the polynomial equations with zero at -5,0 and 3i

1 answer:

8 0

We are given that the zeroes are at
{-5, 0 , 3i}.
By the conjugate pair theorem, -3i, the conjugate of 3i, is automatically a zero for polynomials with real coefficients.

The factors of the polynomial are:
(x+5), x, (x+3i) and (x-3i)
The last two factors multiply to give a real quadratic factor of x^2+9.

Therefore the polynomial is of the form
f(x)=ax(x+5)(x^2+9)
where a is any non-zero real constant.

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Which of the following numbers could be the sides of a right triangle. A)8,15,17. B)6,8,12 C)9,11,21 D)4,13,16

ArbitrLikvidat [17]

Answer:

A) 8, 15, 17.

Step-by-step explanation:

Right triangle obey the Pythagorean theorem. Thus, we choose the two smaller numbers (being the cathetus) and if after applying the P. Theorem we get the biggest of each option (the hypotenuse) that means that those numbers could be the sides of a right triangle.

The Pythagorean theorem states that: $a^2+b^2=c^2$

Thus:

$\sqrt{a^2+b^2}=c$

Option A:

$\sqrt{8^2+15^2}=17$ → 17 = 17 OK!

Option B:

$\sqrt{6^2+8^2} = 10$ → 10 ≠ 12 NO

Option C:

$\sqrt{9^2+11^2} = [tex]\sqrt{202}$ [/tex] → $\sqrt{202}$ ≠ 21 NO

Option D:

$\sqrt{4^2+13^2} = \sqrt{185}$ → $\sqrt{185}$ ≠ 16 NO

3 0

3 years ago

Can someone pls help me out

r-ruslan [8.4K]

Answer:

405 are not expected to be alive in the next year

7 0

3 years ago

The formula for the volume of a pyramid is V = Bh. Express h in terms of B and V. 0 0 =

strojnjashka [21]

Answer:

h = $\frac{V}{B}$

Step-by-step explanation:

Given

V = Bh ( isolate h by dividing both sides by B )

$\frac{V}{B}$ = h

4 0

3 years ago

Read 2 more answers

The following are questions from a self-quiz.According to some study, the height for Northern European adult males is normally d

lara [203]

Answer:

a) 0.064

b) 0.109

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 181 centimeter

Standard Deviation, σ = 7.3 centimeter

We are given that the distribution of height for Northern European adult males is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(person is between 160 and 170 centimeters)

$P(160 \leq x \leq 170) = P(\displaystyle\frac{160 - 181}{7.3} \leq z \leq \displaystyle\frac{170-181}{7.3}) = P(-2.8767 \leq z \leq -1.506)\\\\= P(z \leq -1.506) - P(z < -2.8767)\\= 0.066 -0.002 = 0.064 = 6.4\%$