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1 year ago

The inverse of the function f(x) = x + 10 is shown.

Mathematics

1 answer:

IgorLugansk [536]1 year ago

7 0

Answer:

So, the answer is 20

Step-by-step explanation:

$f(x) = \frac{1}{2} x + 10 = = = > \\ f(x) - 10 = \frac{1}{2} x = = = > \\ 2f(x) - 20 = x = = = > \\ {f}^{ - 1} (y) = 2y - 20 = = = > {f}^{ - 1} (x) = 2x - 20$

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Rewrite in Polar Form....<br> x^(2)+y^(2)-6y-8=0

skad [1K]

$\bf x^2+y^2-6y-8=0\qquad 
\begin{cases}
x^2+y^2=r^2\\\\
y=rsin(\theta)
\end{cases}\implies r^2-6rsin(\theta)=8
\\\\\\
\textit{now, we do some grouping}\implies [r^2-6rsin(\theta)]=8
\\\\\\\
[r^2-6rsin(\theta)+\boxed{?}^2]=8\impliedby 
\begin{array}{llll}
\textit{so we need a value there to make}\\
\textit{a perfect square trinomial}
\end{array}$

$\bf 6rsin(\theta)\iff 2\cdot r\cdot \boxed{3\cdot sin(\theta)}\impliedby \textit{so there}
\\\\\\
\textit{now, bear in mind we're just borrowing from zero, 0}
\\\\
\textit{so if we add, \underline{whatever}, we also have to subtract \underline{whatever}}$

$\bf [r^2-6rsin(\theta)\underline{+[3sin(\theta)]^2}]\quad \underline{-[3sin(\theta)]^2}=8\\\\
\left. \qquad \right.\uparrow \\
\textit{so-called "completing the square"}
\\\\\\\
[r-3sin(\theta)]^2=8+[3sin(\theta)]^2\implies [r-3sin(\theta)]^2=8+9sin^2(\theta)
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3 0

2 years ago

What is the substitution <br> 3x-5y=11;x=3y+1

nikitadnepr [17]

Substitute 3x+1 for x. Then solve from there

3 0

2 years ago

Read 2 more answers

The last question for my test help

alisha [4.7K]

3 2/6

5/6*4=20/6

20/6= 3 2/6 OR 3 1/3

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2 years ago

Please help me i would really appreciate it<br> i will give brainliest

Ierofanga [76]

Answer:

b. multiply the bottom equation by 2

Step-by-step explanation:

it would eliminate y

3 0

2 years ago

If you are making a scale drawing of a girrafe that is 6m tall, and the height of the girrafe in your drawing is 3cm, what is th

k0ka [10]

Answer:

1cm to 200cm

Step-by-step explanation:

l of giraffe = 6m = 600cm

l of giraffe drawing = 3cm

scale = drawing : real = 3 : 600 = 1 : 200

Therefore the scale is 1cm to 200cm

8 0

2 years ago