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2 years ago

Solve x3 + x2 - x - 1 =. 0 by factoring by grouping

Mathematics

2 answers:

Alexus [3.1K]2 years ago

6 0

Answer:

(x^2-1)(x+1)=0

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

x=1; x=-1

Step-by-step explanation:

muminat2 years ago

5 0

Answer:

(x^2-1)(x+1)=0

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

x=1; x=-1

Step-by-step explanation:

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2. A triangular pyramid begins with these coordinates:

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3 years ago

What is tan theta when csc theta =2 sqrt 3?

Slav-nsk [51]

Answer:

$\displaystyle \tan\theta=\frac{\sqrt{11}}{11}$

Step-by-step explanation:

Trigonometric Identities

If the trigonometric function value of an angle is given, we can find the rest of the trigonometric values of the angle by using one or more of the fundamental identities.

To solve this problem, we need to use the following identities:

$\displaystyle \cot^2\theta=\csc^2\theta-1$

$\displaystyle \tan\theta=\frac{1}{\cot\theta}$

Since we are given:

$\displaystyle \csc\theta=2\sqrt{3}$

And the angle is in the first quadrant, calculate the cotangent:

$\displaystyle \cot^2\theta=(2\sqrt{3})^2-1$

$\displaystyle \cot^2\theta=4*3-1=11$

$\displaystyle \cot\theta=\sqrt{11}$

The tangent is:

$\displaystyle \tan\theta=\frac{1}{\sqrt{11}}$

Rationalizing the denominator:

$\displaystyle \tan\theta=\frac{1}{\sqrt{11}}*\frac{\sqrt{11}}{\sqrt{11}}$

$\boxed{\displaystyle \tan\theta=\frac{\sqrt{11}}{11}}$

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2 years ago

Miguel has a ladder with legs of equal length. He opened the ladder and placed it on the floor. What type of triangle is formed

Paha777 [63]

Answer:

it's an isosceles triangle, because two sides are the same length, and thus two angles are also the same.

 * mark as brainliest please../;(

Step-by-step explanation:

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3 years ago

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