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notsponge [240]
4 years ago
13

Help anyone pleaseLol

Mathematics
1 answer:
WITCHER [35]4 years ago
7 0

Answer:

its the sceond one

Step-by-step explanation:

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The answer is 80%

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If -1 is one of the zeroes of py 3x^3-5x^2-11x-3 find other zeroes
katrin2010 [14]

Given:

The function is:

y=3x^3-5x^2-11x-3

It is given that -1 is a zero of the given function.

To find:

The other zeroes of the given function.

Solution:

If c is a zero of a polynomial P(x), then (x-c) is a factor of the polynomial.

It is given that -1 is a zero of the given function. So, (x+1) is a factor of the given function.

We have,

y=3x^3-5x^2-11x-3

Split the middle terms in such a way so that we get (x+1) as a factor.

y=3x^3+3x^2-8x^2-8x-3x-3

y=3x^2(x+1)-8x(x+1)-3(x+1)

y=(x+1)(3x^2-8x-3)

Again splitting the middle term, we get

y=(x+1)(3x^2-9x+x-3)

y=(x+1)(3x(x-3)+1(x-3))

y=(x+1)(3x+1)(x-3)

For zeroes, y=0.

(x+1)(3x+1)(x-3)=0

(x+1)=0 and 3x+1=0 and x-3=0

x=-1 and x=-\dfrac{1}{3} and x=3

Therefore, the other two zeroes of the given function are -\dfrac{1}{3} and 3.

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3 years ago
The captain of a boat knows that a lighthouse on the coast is 100 ft
Tatiana [17]

Answer:

Height of the light house =7.5\ feet

Step-by-step explanation:

Distance of light house from boat = 100 ft

Angle of elevation from boat to the top of light house = 2°

Height above water while taking measurement = 4 ft

The figure of the situation is shown below.

For Δ ABC

\tan2\°=\frac {AB}{BC}

\tan2\°=\frac {AB}{100}

0.035=\frac {AB}{100}

Multiplying both sides by 100.

100\times 0.035=100\times\frac {AB}{100}

3.5=AB

∴ AB=3.5

Height of the light house =3.5+4=7.5\ feet

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