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3 years ago

Simplify 4(2x-5)-12x

Mathematics

1 answer:

ivolga24 [154]3 years ago

5 0

<h3><u>-4x - 20 is the simplified version of the provided expression.</u></h3>

4(2x - 5) - 12x

Distributive property first.

8x - 20 - 12x

Rearrange terms.

8x - 12x - 20

-4x - 20

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Assume that the terminal side of thetaθ passes through the point (negative 12 comma 5 )(−12,5) and find the values of trigonomet

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Answer:

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Step-by-step explanation:

Assume that the terminal side of thetaθ passes through the point (−12,5).

In ordered pair (-12,5), x-intercept is negative and y-intercept is positive. It means the point lies in 2nd quadrant.

Using Pythagoras theorem:

$hypotenuse^2=perpendicular^2+base^2$

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Taking square root on both sides.

$hypotenuse=13$

In a right angled triangle

$\sin \theta = \dfrac{opposite}{hypotenuse}$

$\sin \theta = \dfrac{5}{13}$

$\sec \theta = \dfrac{hypotenuse}{adjacent}$

$\sec \theta = \dfrac{13}{12}$

In second quadrant only sine and cosecant are positive.

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