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Margarita [4]
4 years ago
13

Kevin's work for deriving the equation of a circle is shown below. x2 + 4x = −(y2 − 20) step 1 x2 + 4x = −y2 + 20 step 2 x2 + 4x

+ 4 = −y2 + 20 − 4 step 3 (x + 2)2 = −y2 + 20 − 4 step 4 (x + 2)2 + y2 = 16 in which step did he make an error in his work
Mathematics
1 answer:
SVEN [57.7K]4 years ago
7 0
We have the following equation:
 x2 + 4x = - (y2 - 20)
 Let's review step by step:
 step 1:
 
x2 + 4x = -y2 + 20
 Answer: OK
 step 2:
 
x2 + 4x + 4 = -y2 + 20 - 4
 Answer: Wrong
 The correct step is:
 x2 + 4x - 4 = -y2 + 20 - 4
 Or equivalently:
 x2 + 4x + 4 = -y2 + 20 + 4
 Answer:
 
he did make an error in his work in step 2
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that is the answer

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Alice wanted to solve for x by getting rid if the +8. explain and correct Alice error
ra1l [238]

<u>Answer:</u> The value of x will be 2.

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

To calculate the value of 'x' or solve for x, we need to isolate x from 8.

In the equation, 8 is in addition with 'x' so for isolating it, we need to apply the reverse operation of addition.

Reverse operation of addition is subtraction.

We need to subtract 8 from both sides of the equation, we get:

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By doing this, we get the value of 'x' as 2.

Error done by Alice was that she added 8 and it did not led to the isolation of 'x'.

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Find the inverse of each function. Is the inverse a function? f(x)=x⁷
Luda [366]

The inverse of the function x^7 is x^-7 and it is also a function.

An inverse function or an anti function is defined as a function, which can reverse into another function.

A standard method to find inverse of a function is to set y=f(x)

let y= f(x)=x^7

thus

\sqrt[7]{y}=x

thus f^{-1}(y)=\sqrt[7]{y}

thus f^{-1} (x)=\sqrt[7]{x}

(To verify this if a function is inverse or not we are required to check for the identity)

f(f^{-1}(x))=f^{-1}(f(x))=x

Therefore, The inverse of the function x^7 is x^-7 and it is also a function.

For further reference:

brainly.com/question/2541698?referrer=searchResults

#SPJ4

3 0
1 year ago
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