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sergey [27]
3 years ago
13

If ZY=3XY then ZX =4XY

Mathematics
1 answer:
Anna11 [10]3 years ago
4 0

Given

ZY=3XY

Prove that

ZX =4XY

To proof

As given

ZY=3XY

as shown in the diagram given in the question

we get

XZ = XY +  YZ

As given in the question

ZY=3XY

put this in the above equation

we get

XZ = XY + 3XY

XZ = 4XY

Hence proved

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For the funtion f(x)= (x+7)^5, Find f^-1 (x)
quester [9]

Answer:

The inverse of function f(x)= (x+7)^5 is \mathbf{f^{-1} (x)=\sqrt[5]{x}+7}

Option A is correct option.

Step-by-step explanation:

For the function f(x)= (x+7)^5, Find f^{-1} (x)

For finding inverse of x,

First let:

y=(x+7)^5

Now replace x with y and y with x

x=(y+7)^5

Now, solve for y

Taking 5th square root on both sides

\sqrt[5]{x}=\sqrt[5]{(y+7)^5}\\\sqrt[5]{x}=y+7\\=> y+7=\sqrt[5]{x}\\y=\sqrt[5]{x}-7

Now, replace y with f^{-1} (x)

f^{-1} (x)=\sqrt[5]{x}+7

So, the inverse of function f(x)= (x+7)^5 is \mathbf{f^{-1} (x)=\sqrt[5]{x}+7}

Option A is correct option.

6 0
3 years ago
The intersection of roads M and N creates a 41.4 degree angle. What are the complimentary and supplementary angles of this inter
Keith_Richards [23]
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0.9kg

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1800g

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