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Marizza181 [45]
3 years ago
6

PLEASE HELP SOON!!!! NO FAKE ANSWERS! I WILL REPORT!!!! questions 12, 14, 16

Mathematics
1 answer:
frosja888 [35]3 years ago
6 0

Answer:

Step-by-step explanation:

??? what do you need help with

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Which is an x-intercept of the graph of the function y=cot(3x)
AveGali [126]

Answer:

x-intercept of the graph of the function y = \cot(3x) is, (\frac{\pi}{6} \pm \frac{n\pi}{3} , 0)

Step-by-step explanation:

Given the function: y = \cot(3x)                        ......[1]

x-intercept defined as the graph crosses the x-axis.

Substitute value of y = 0 in [1] and solve for x;

0 = \cot(3x) or

\cot(3x) = 0

Take the inverse cotangent of both sides of the equation and solve for x;

3x = arccot (0)

We know the exact value of arc\cot(0) = \frac{\pi}{2}

then;

3x = \frac{\pi}{2}

Divide both sides by 3 we get;

x = \frac{\pi}{6}

Since, the cotangent function is positive in the first and third quadrants.

The period of the function \cot(3x) is \frac{\pi}{3} so values will repeat every \frac{\pi}{3}  radians in both directions.

we have;

x =\frac{\pi}{6} \pm \frac{n\pi}{3}

Therefore, the x-intercept of the graph of the function y = \cot(3x)  is ;

(\frac{\pi}{6} \pm \frac{n\pi}{3} , 0)  for every integer n;




5 0
3 years ago
The town of Haverford just bought land to make a new park. The land is in the shape of a rectangle that is 2/3 of a mile wide an
frosja888 [35]

Answer:

B.

Step-by-step explanation:

6 0
3 years ago
Find the value of x and give a reason for the relationship between the angles.
allsm [11]

Answer:

x = 72 and they are a linear pair making them supplementary angles

Step-by-step explanation:

144 + (x - 36) = 180

108 + x = 180

<u>-108        -108</u>

x = 72

4 0
3 years ago
PLEASE PLEASE PLEASE PLAESE HELPPP!!!
Murrr4er [49]

Answer:

12 m

Step-by-step explanation:

using the congruence thereom:

2x-4 or (RS) = 14 or (LN)

solving for x we see that x=9

then we plug in 9 into the side LM and we get 12

ANSWER: 12

6 0
3 years ago
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