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3 years ago

Verify that -tan2x = (2tanx) / (sec^2x - 2)

Mathematics

1 answer:

sashaice [31]3 years ago

8 0

Answer:

Below.

Step-by-step explanation:

- tan 2x = -2tanx / (1 - tan^2x)

Using the identity tan^2x = sec^2x - 1 and substituting for tan^2x:

- tan 2x = -2 tanx / (1 - (sec^2x - 1))

= 2 tanx / ( - 1(sec^2x + 2))

= 2 tan x / (sec^2 x - 2)

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Answer:

the answer it $5.18

Step-by-step explanation:

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$4.50 + $0.68 = $5.18

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2 years ago

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grin007 [14]

Step-by-step explanation:

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2 years ago

Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 4y − 6z = 22

madam [21]

The equation $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ in standard form looks like $(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$ .

Given equation of sphere be $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

We are required to express the given equation in the standard form of the equation of sphere.

Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like $x^{2} +y^{2} +z^{2} =r^{2}$ .

The given equation is $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

We have to break 22 which is in right side into various parts according to the left side of the equation.

$x^{2} +y^{2} +z^{2} +2x-4y-6z=-1-4-9+36$

$x^{2} +y^{2} +z^{2} +2x-4y-6z+1+4+9=36$

$x^{2} +1+2x+y^{2}+4-4y+z^{2} +9-6z=36$

$x^{2} +(1)^{2} +2*1*x+y^{2} +(2)^{2} -2*2y+z^{2} +(3)^{2} -2*3z=36$

$(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$

Hence the equation $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ in standard form looks like $(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$ .

Learn more about equations at brainly.com/question/2972832

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1 year ago

Factor the GCF: 9x4y − 6x3y2 + 3x2y3.

Ganezh [65]

For this case we have the following expression:
$9x^4y - 6x^3y^2 + 3x^2y^3
$
For this case what you should do is observe the terms that are repeated in the given expression.
We have then:
$3x^2y
$
It is the term that is present in the whole expression.
Therefore, by doing common factor we have:
$3x^2y (3x^2 - 2xy + y^2)
$
Answer:
the GCF is:
$3x^2y (3x^2 - 2xy + y^2)$
option A: a 3 is missing at the beginning of the option.

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2 years ago