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3 years ago

Simplify the expression: – 5 ( – 3 + – 9 k 2 ) + – k + – 4

Mathematics

2 answers:

ahrayia [7]3 years ago

5 0

45k^2-k+11 hope this helps!!

tangare [24]3 years ago

4 0

Answer:=

5+90k+−k+−4

(90k+−k)+(15+−4)

89k+11

Step-by-step explanation:

You welcome

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3 years ago

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

zmey [24]

Answer:

$\sin \theta = \dfrac{5}{13}$ and $\sec \theta = -\dfrac{13}{12}$

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:

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

$hypotenuse^2=(5)^2+(12)^2$

$hypotenuse^2=25+144$

$hypotenuse^2=169$

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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4 years ago

Write the following as a root in radical form 2^-4/5

erastovalidia [21]

Answer:

Given that:

=2^(-4/5)

This means that 2 is the base and -4/5 is the exponent.

To change it in radical form:

firstly the denominator would be written with radical sign
Then the negative sign with 4 will be removed by inverting the base.
Then the fraction will be simplified according to the exponent (power)
All the steps are performed below:

$=\sqrt[5]{2^{-4} } \\=\sqrt[5]{1/2^4}\\ =\sqrt[5]{1/16}$

i hope it will help you!

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3 years ago