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Sav [38]
3 years ago
10

4. Triangle HEF is the image of triangle FGH after a 180 degree rotation about point K. Select all statements that must be true.

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
6 0

Answer: C, E, F

Step-by-step explanation: dude tbh idek but ik that it’s the right answer

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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 eight cats in a pet store were weighed. Their weights (in pounds) are given below.
luda_lava [24]
Hey there! :)

First, let's find the mode

Mode is the number that appears the most

The mode is 7 
_____________________________________________________________

Range is the difference between the greatest number and the lowest number.

Greatest number: 7
Lowest number: 2

7 - 2 = 5

The range is 5

Hope this helps :)
4 0
4 years ago
Read 2 more answers
Round 45,621 to the nearest hundred.
Schach [20]

Answer:

The answer is 45600 as 621 is less than 650 and should be rounded down.

4 0
3 years ago
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What is the value of the 4 in the number 546210​
love history [14]

Answer:

40,000

Step-by-step explanation:

refer to attached.

the number 4 is found in the Ten Thousands (10,000) place

hence the number 4 has the value of

4 x 10,000

= 40,000

4 0
3 years ago
Read 2 more answers
According to the Rational Root Theorem, which is a factor of the polynomial f(x) = 60x^4 + 86x^3 - 46x^2 - 43x + 8?
Natalija [7]
Factors of 8 over factorsof 60, +/- one of them ay be a root
3 0
3 years ago
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