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Setler [38]
2 years ago
15

Find K by evaluating Limit

Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
6 0

Answer:

4

Step-by-step explanation:

\lim_{x \to \infty}\frac{1-cos4x}{1-cos2x}= \lim_{x \to 0} \frac{(1-cos4x)'}{(1-cos2x)'}= \lim_{x \to 0}\frac{4sin4x}{2sin2x}= \lim_{x \to 0}\frac{2*2sin2xcos2x}{sin2x}\\ = \lim_{x \to 0}4cos2x\\ =4

{L'Hospital's rule}

<em>I hope this helps you</em>

<em>:)</em>

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) Find the coordinates of the point A' which is the symmetric point
soldier1979 [14.2K]

Let, coordinate of point A' is (x,y).

Since, A' is the symmetric point  A(3, 2) with respect to the line 2x + y - 12 = 0.​

So, slope of line containing A and A' will be perpendicular to the line 2x + y - 12 = 0 and also their center lies in the line too.

Now, their center is given by :

C( \dfrac{x+3}{2}, \dfrac{y+2}{2})

Also, product of slope will be -1 .( Since, they are parallel )

\dfrac{y-2}{x-3} \times -2  = -1\\\\2y - 4 = x - 3\\\\2y - x = 1

x = 2y - 1

So, C( \dfrac{2y -1 +3}{2}, \dfrac{y+2}{2})\\\\C( \dfrac{2y + 2}{2}, \dfrac{y+2}{2})

Also, C satisfy given line :

2\times ( \dfrac{2y + 2}{2})  + \dfrac{y+2}{2} = 12\\\\4y + 4 + y + 2 = 24\\\\5y = 18\\\\y = \dfrac{18}{5}

Also,

x = 2\times \dfrac{18}{5 } - 1\\\\x = \dfrac{31}{5}

Therefore, the symmetric points isA'(\dfrac{31}{5}, \dfrac{18}{5}) .

7 0
2 years ago
Work out the interior angle of the octagon.<br> Please show the working out.
bija089 [108]

Answer:

135°

Step-by-step explanation:

formula = (n-2) * 180, whereby 'n' is the number of sides.

therefore, (8-2) * 180 = 1080°

1080° ÷ number of sides

= 1080° ÷ 8

= 135°

5 0
2 years ago
Read 2 more answers
Twenty times a square of a positive integer plus 50 equals negative 40 times the square of the positive integer plus one-hundred
rusak2 [61]
20x^2+50 = -40x^2+110x [ Taking x as the unknown positive integer ]
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Please help I will give brainliest to first person who answers!
BigorU [14]

Answer:

71 degrees

It's the measure of angle 1.

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2 years ago
Mr.banks left work at 5:15p.m it took him 1 1/4 hours to drive home.at what time did me.banks arrive home?
Reptile [31]
6 hours and 40 mins which would be 6:45
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