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4 years ago

Solve the equation !!!! HELP PLEASE

Mathematics

1 answer:

elena-14-01-66 [18.8K]4 years ago

6 0

Answer:

x=-1/2

Step-by-step explanation:

Given:

8x^3+12x^2+6x+1=0

Making factors of the given polynomial by using cube formula, given as

(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3

Re-writting the given polynomial:

(2^3.x^3) + 3(2^2.x^2)(1)+3(2x)(1) + (1^3)=0

Hence (2^3.x^3) + 3(2^2.x^2)(1)+3(2x)(1) + (1^3) can be written as (2x+1)^3

(2x+1)^3= 0

2x+1= 0

2x= -1

x= -1/2 !

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From a ship, the angle of elevation of a point, A, at the top of a cliff is 21°. After the ship has sailed 2,500 feet directly t

fredd [130]

Answer:

10701.97 feet.

Step-by-step explanation:

Refer the attached figure

The angle of elevation of a point, A, at the top of a cliff is 21° i.e. ∠ACB = 21°

The ship has sailed 2,500 feet directly toward the foot of the cliff i.e. CD = 2500 feet.

Then the angle of elevation becomes 47° i.e.∠ADB = 47°

Let BD be x

So, BC = BD+DC=x+2500

Let the height of the cliff be h feet.

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We will use trigonometric ratios

$tan\theta = \frac{Perpendicular}{Base}$

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We will use trigonometric ratios

$tan\theta = \frac{Perpendicular}{Base}$

$tan21^{\circ} = \frac{AB}{BC}$

$0.869 = \frac{h}{x+2500}$

$0.869(x+2500) =h$

$0.869x+2172.5 =h$ -----b

Equate a and b

$0.869x+2172.5 =1.072x$

$2172.5 =1.072x-0.869x$

$2172.5 =0.203x$

$\frac{2172.5}{0.203}=x$

$10701.97=x$

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3 years ago

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kati45 [8]

Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Given :

Vertices of a triangle ABC are:

A(−3, 4), B(4, −2), C(8, 3)

The triangle is translated 2 units up and 1 unit right.

To find the co-ordinates of point A after translation.

Translation rules.

For shift of $c$ units up, the translation is given as:

$(x,y)\rightarrow (x,y+c)$

For shift of $k$ units right, the translation is given as:

$(x,y)\rightarrow (x+k,y)$

So, it says the triangles is translated 2 units up and 1 unit right.

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$(x,y)\rightarrow (x+1,y+2)$

So, co-ordinates of point A after translation is given by :

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4 years ago

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago

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