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ale4655 [162]
3 years ago
10

Its an edge question

Mathematics
1 answer:
Aleks04 [339]3 years ago
6 0

Answer:

a) The value of If(i)I  =  √2.

Step-by-step explanation:

Here the given function is f(x) = 1 -  x

To Find: If(i)I

First;y, let us find the value of f(i).

Substituting x  = i in f(x) , we get:

f(i)  = 1- i

Now, The modulus value of a function P = A + B is written as :

IPI = IA+BI = \sqrt{A^2 + B^2}

So, here calculating the value of If(i)I :

I1-iI   = \sqrt{(1)^2 + (-1)^2} = \sqrt{1+ (1)} = \sqrt {1+1} = \sqrt{2}\\\implies I1-iI  = \sqrt{2}

⇒ I1-1I = √2

or, If(i)I =√2

Hence, the value of If(i)I  for f(x) = 1 -x is√2.

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Julian walked 6/10 of a mile to his friends house and another 35/100 mile to the store. He walked 1/4 of a mile back home. Julia
AveGali [126]

The statement, "Julian's sister said he walked 1/5 mile" cannot be agreed because Julian totally walked 1\frac{1}{5} \text{ or } \frac{6}{5} miles.

<u>Solution:</u>  

Given that,

  • Julian walked 6/10 of a mile to his friends house
  • Another 35/100 mile to the store
  • He walked 1/4 of a mile back home

To find total distance walked by Julian we have to add the above stated values. That is, \frac{6}{10} +\frac{35}{100} +\frac{1}{4}

Factors of 10 = 5\times2

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Factors of 4 = 2\times2

Therefore, the least common factor of 10, 100 and 4 is 100. With like denominators we can operate on just the numerators,

\frac{6\times10}{10\times10} +\frac{35\times1}{100\times1} +\frac{1\times25}{4\times1}\rightarrow\frac{60+35+25}{100}\rightarrow\frac{120}{100}

\Rightarrow\frac{120}{100}\rightarrow\frac{6}{5}

Which can also be written as 1\frac{1}{5}.

So, from the above calculation it can be said that Julian walked 1\frac{1}{5} \text{ miles }.

3 0
3 years ago
the area of a window is 40 square feet. the length is the square root of 20 feet. what is the width of the window
Irina18 [472]
----------------------------------------------------
Given information
----------------------------------------------------
Area = 40ft²
Length = √20 ft

----------------------------------------------------
Formula
----------------------------------------------------
Area = Length x Width

----------------------------------------------------
Find Width
----------------------------------------------------
40 = √20 x width
Width = 40 ÷ √20
Width = 40 ÷ 2√5
Width = 20 ÷ √5
Width =  \frac{20}{ \sqrt{5} }

Answer: \boxed {Width = \frac{20}{ \sqrt{5} }}

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Step-by-step explanation:

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