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3 years ago

What is a constant interval and how does it appear on a graph?

2 answers:

8 0

Pre-Calculus - Identify where a function is increasing decreasing or constant from the graph

Example: The graph shown above is decreasing from the point (3,4) to the point (5,-5), described as decreasing when 3 < x < 5. Using interval notation, it is described as decreasing on the interval (3,5). Constant: A function is constant, if as x increases (reading from left to right), y stays the same.

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8090 [49]3 years ago

3 0

A function whose value does not vary, regardless of the input.

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Given cos theta = - 2/5 and sin theta < 0, find the six trigonometric values. I need help with this

Lena [83]

Answer:

$\sin\,\theta =-\frac{\sqrt{21} }{5}$

$\tan\,\theta =\frac{\sqrt{21} }{2}$

$\sec\,\theta = \frac{-5}{2}$

$cosec\,\theta =\frac{-5}{\sqrt{21} }$

$\cot\,\theta =\frac{2}{\sqrt{21} }$

Step-by-step explanation:

$\cos\theta =\frac{-2}{5}$

As both $sin\,\theta$ ,

$\theta$ lies in the third quadrant.

In the third quadrant,

$\sin\theta$

$\sin\,\theta =-\sqrt{1-\cos^2\,\theta} \\=-\sqrt{1-(\frac{-2}{5})^2 } \\\\=-\sqrt{1-\frac{4}{25} }\\\\=-\sqrt{\frac{25-4}{25} }\\\\=-\frac{\sqrt{21} }{5}$

$\tan\,\theta = \frac{\sin\,\theta}{\cos\,\theta }\\\\=\frac{\frac{-\sqrt{21} }{5} }{\frac{-2}{5} }\\\\=\frac{\sqrt{21} }{2}$

$\sec\,\theta =\frac{1}{\cos\,\theta }\\\\=\frac{1}{\frac{-2}{5} }\\\\=\frac{-5}{2}$

$\ cosec \,\theta = \frac{1}{sin\,\theta }\\\\=\frac{1}{\frac{-\sqrt{21} }{5} }\\\\=\frac{-5}{\sqrt{21} }$

$\cot\,\theta =\frac{1}{\tan\,\theta}\\\\=\frac{1}{\frac{\sqrt{21} }{2} }\\\\=\frac{2}{\sqrt{21} }$

3 0

3 years ago

Given that QRVTSU is a regular hexagon what are the lengths of QR and ST?

AlexFokin [52]

Answer:

Step-by-step explanation:

3y + 19 = 6y + 1

6y + 1 = 3y + 19

6y - 3y = 19 - 1

3y = 18

y = 6

6y + 1

6.6 + 1

The first one

I hope I helped you.

7 0

3 years ago

Read 2 more answers

Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hu

netineya [11]

Given:
y = mx + b

m = slope
b = y-intercept.

m = 1.35

x = 13

25.43 = 1.35(13) + b
25.43 = 17.55 + b
b = 25.43 - 17.55
b = 7.88

y = 1.35(19) + 7.88
y = 25.65 + 7.88
y = 33.53

The monthly cost for 19HCF is $33.53

8 0

3 years ago

Someone please help will mark as brainliest

Anit [1.1K]

Answer:

Perpendicular(p)=21

base(b)=20

hypotenuse(h)=29

Step-by-step explanation:

Now by using the formula:

cos A=b/h

i.e 20 by 29

5 0

3 years ago

"Express as a mixed numeral: 39/8" is a problem found in a fifth-grade arithmetic textbook. This problem is BEST solved through:

Scilla [17]

Answer:

c. an algorithm

Step-by-step explanation:

Most math problems are best solved using an algorithm. Certainly, converting numbers from one form to another is easily done that way.

_____

The integer part is the whole-number quotient of the division. The fractional part is the remainder divided by the denominator:

39/8 = 32/8 + 7/8 = 4 7/8

5 0

3 years ago