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MariettaO [177]
3 years ago
6

Find the perimeter and area of the kite. pls​

Mathematics
1 answer:
adoni [48]3 years ago
4 0
Hope this can help you understand

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let a function F:A➡️B be defined by f(x)=x+1÷2x-1 with A={-1,0,1,2,3,4} and B= {-1,0,4/5,5/7,1,2,3,}.Find the range of f. plzzzz
lidiya [134]

Answer:

Range: {-1, 0, 5/7, 4/5, 1, 2}

Step-by-step explanation:

We know that:

f(x) = (x + 1)/(2x - 1)

And:

f: A ⇒ B

where:

A={-1,0,1,2,3,4}

B= {-1,0,4/5,5/7,1,2,3,}

We want to find the range of f(x).

The range of f(x) will be the set of the outputs of f(x) (and because f goes from A to B, we will only take the outputs that belong to B).

Then we only need to evaluate all the values of A in f(x), and see if the output belongs to B.

we have:

f(x) = (x + 1)/(2x - 1)

f(-1) = (-1 + 1)/(2*-1 - 1) = 0   (this does belong to B)

f(0) = (0 + 1)/(2*0 - 1) = -1  (this does belong to B)

f(1) = (1 + 1)/(2*1 - 1) = 2  (this does belong to B)

f(2) = (2 + 1)/(2*2 - 1) = 1 (this does belong to B)

f(3) = (3 + 1)/(2*3 - 1) = 4/5  (this does belong to B)

f(4) = (4 + 1)/(2*4 - 1) = 5/7  (this does belong to B)

So the range of f(x) is the set with all these outputs, which is:

Range: {-1, 0, 5/7, 4/5, 1, 2}

5 0
3 years ago
Find the area of the surface. the part of the cylinder y^2+z^2=9 that lies above the rectangle with vertices (0,0),(4,0),(0,2),
Mice21 [21]
We can parameterize this part of the cylinder using

\mathbf s(u,v)=\langleu,3\cos v,3\sin v\rangle

with 0\le u\le4 and \cos^{-1}\dfrac23\le v\le\dfrac\pi2. Then the surface element is

\mathrm d\mathbf S=\|\mathbf s_u\times\mathbf s_v\|\,\mathrm du\,\mathrm dv
\mathrm d\mathbf S=3\,\mathrm du\,\mathrm dv

so the area is given by the surface integral, where D denotes the part of the cylinder in question,

\displaystyle\iint_D\mathrm d\mathbf S=3\int_{v=\cos^{-1}(2/3)}^{v=\pi/2}\int_{u=0}^{u=4}\mathrm du\,\mathrm dv=6\pi

Probably less work would involve a simpler geometric approach, but it doesn't hurt to practice setting up a proper surface integral.
4 0
3 years ago
Which of the following can be a solution to the inequality below?<br> 2x &gt; 6.<br> Pls send help
Citrus2011 [14]

Answer:

x>3

Step-by-step explanation:

you divide both sides by 2 then you get three. The sign remains the same.

3 0
3 years ago
What is the slope and y-intercept of the line represented by this equation? y = 9x – 2 user: what is the slope and y-intercept f
WITCHER [35]
No Se solamente voy a primero 
8 0
3 years ago
Add the following polynomials
Yuri [45]

Answer is x² + 2x + 5

<u>Step-by-step explanation:</u>

Step 1:

Add the two polynomials

⇒ (2x + 7) + (x² - 2) = 2x + 7 + x² - 2 = x² + 2x + 5

3 0
3 years ago
Read 2 more answers
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