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1 year ago

HELP! Simplify3/14

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Mathematics

1 answer:

Olegator [25]1 year ago

5 0

Here is the problem simplified, todo this you
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real

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Which angle is an x–intercept for the function y=cos(1/2x)? A. 0 B. pie/2 C. pie D. 2pie

Neporo4naja [7]

Answer:

For the function

y = cos(1/2 x)

The x-intercept can be calculated by equating the function to zero and solving for x. So,

y = cos(1/2 x) = 0

1/2 x = arc cos 0

1/2 x = 90° +180°n

x =2 (90° +180°n)

x = 180° + 360°n

or converting to radians

x = (180° + 360° n)(π/180°)

x = π + 2π n

where n is any whole number

if n = 0

x = π

Therefore, the x-intercept is π or π+2π n

Step-by-step explanation:

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Answer:

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erastovalidia [21]

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2 years ago

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2 years ago

-y varies inversely with x. When y = 9.6, x = 12. What is the value of k, the constant of inverse variation?

alisha [4.7K]

Question 1:

For this case we have an equation of the form:

$y = \frac {k} {x}$

Where,

<em>k: inverse variation constant. </em>

Then, substituting values we have:

$y =\frac {k} {x}$

From here, we clear the value of k.

We have then:

$k = 9.6 * 12\\k = 115.2$

Answer:

the constant of inverse variation is:

$k = 115.2$

Question 2:

For this case we have:

$y = \frac {k} {x}$

Where,

<em>k: constant of variation. </em>

Then, substituting the value of the constant we have:

$y =\frac {5.6} {x}$

We now substitute the value of x:

$y = \frac {5.6} {4}\\y = 1.4$

Answer:

the value of y when x = 4 is: $y = 1.4$

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3 years ago