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GalinKa [24]
3 years ago
15

Write the equation in slope-intercept form for a line which points go through (-2,3), parallel to x=o

Mathematics
1 answer:
castortr0y [4]3 years ago
7 0

Answer:

  • x = -2

Step-by-step explanation:

Line x = 0 is parallel to y-axis

Line parallel to given line is also parallel to y-axis. It passes through point (-2, 3), so its equation is:

  • x = -2
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Ivanna says that 2 and 4/9 is equal to 9 divided by 22 is she correct
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Answer: No, she is invalid

Step-by-step explanation: 2 4/9 is equal to 22/9

9 divided by 22 is 9/22

22/9 is not equal to 9/22

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Step-by-step explanation:

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Find (f −1)'(a).<br><br> f(x) = 4 + x2 + tan(πx/2), −1 &lt; x &lt; 1, a = 4
Vinvika [58]

Answer:

The  solution  is   (f^{-1})'(a) = \frac{2}{\pi }

Step-by-step explanation:

From the question we are told that

      The  function is  f(x) =  4 +  x^2  + tan [\frac{ \pi x}{2} ] ,     -1 <  x  <  1  a =  4

Here we are told find  (f^{-1}) (a)

Let equate

     f(x) =  a

So  

      4 +  x^2  + tan[\frac{\pi x }{2} ] =  4

       x^2  + tan[\frac{\pi x }{2} ]  =  0

For the equation above to be valid x must be equal to 0

  Now when x = 0

       f(0) = 4+0^2 + tan [\frac{ \pi * 0}{2} ]

=>      f(0) =  4

=>  0 =  f^{-1} (4)

Differentiating  f(x)

     f(x)'  =  0 + 2x  + sec^2 (\frac{\pi x}{2} )\cdot \frac{\pi}{2}

Now

    since 0 =  f^{-1} (4)

We have

      f(0)'  =  0 +  \frac{\pi }{2}  sec^2 (0)

       f(0)'  = \frac{\pi }{2}

Now  

        (f^{-1})'(a) =  \frac{1}{(\frac{\pi}{2} )}

        (f^{-1})'(a) = \frac{2}{\pi }

       

3 0
3 years ago
The image below shows 2 complementary angles.
oksian1 [2.3K]

Answer:

a)(x + 3) + (2x - 3) = 90

b)(x + 3) + (2x - 3) = 90

    -3                     -3

-------------------------------

x + (2x-3)         = 87

          +3           +3

------------------------------

x + 2x                = 90

Simpify: x + 2x = 3x

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90/3 = 30

x = 30º

c)(30 + 3) = 33º for angle A

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Step-by-step explanation:

Set them equal to 90º because complementary means 2 angles that = 90º

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