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Delicious77 [7]
3 years ago
12

this coordinate grid shows where albertos school is located. each unit represents one block. albertos house is at (3,4). the lib

rary is located at the reflection of (3,4) across the y axis

Mathematics
1 answer:
hodyreva [135]3 years ago
5 0

Answer:

The library is 6 blocks away to the left of Alberto's place

Step-by-step explanation:

There's missing information on this question.

Suppose the point here is to find the distance.

A reflection across the y-axis makes the y-axis as the symmetry axis.

1) Each unit represents one block and they share the same y-coordinate (4).

2) We have to subtract the absolute value of x-coordinate.

So,

|-3-(3)|=|6|=6

The library is 6 blocks away to the left of Alberto's place.

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The graph below shows the average daily temperatures on January 1 from 1900 to 1934 for city A.
kipiarov [429]

Answer:

25 years

Step-by-step explanation:

Solution:-

- Data for the average daily temperature on January 1 from 1900 to 1934 for city A.

- The distribution X has the following parameters:

                    Mean u = 24°C

                    standard deviation σ = 4°C

- We will first construct an interval about mean of 1 standard deviation as follows:

  Interval for 1 standard deviation ( σ ):                                    

                    [ u - σ , u + σ ]

                    [ 24 - 4 , 24 + 4 ]

                    [ 20 , 28 ] °C

- Now we will use the graph given to determine the number of years the temperature T lied in the above calculated range: [ 20 , 28 ].

           T1 = 20 , n1 = 2 years

           T2 = 21 , n2 = 3 years  

           T3 = 22 , n3 = 2 years

           T4 = 23 , n4 = 4 years  

           T5 = 24 , n5 = 3 years

           T6 = 25 , n6 = 3 years  

           T7 = 26 , n7 = 5 years

           T8 = 27 , n8 = 2 years

           T5 = 28 , n9 = 1 years

- The total number of years:

               ∑ni = n1 + n2 + n3 + n4 + n5 + n6 + n7 + n8 + n9

                     =  2 + 3 + 2 + 4 + 3 + 3 + 5 + 2 + 1

                     = 25 years          

3 0
3 years ago
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I need help proving this ASAP
Ket [755]

Answer:

See explanation

Step-by-step explanation:

We want to show that:

\tan(x +  \frac{3\pi}{2} )  =  -   \cot \: x

One way is to use the basic double angle formula:

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{ \sin(x)  \cos( \frac{3\pi}{2} )  +   \cos(x)  \sin( \frac{3\pi}{2}) }{\cos(x)  \cos( \frac{3\pi}{2} )   -    \sin(x)  \sin( \frac{3\pi}{2}) }

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{ \sin(x) ( 0)  +   \cos(x) (  - 1) }{\cos(x) (0)   -    \sin(x) (  - 1) }

We simplify further to get:

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{ 0  -   \cos(x) }{0 +    \sin(x) }

We simplify again to get;

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{- \cos(x) }{ \sin(x) }

This finally gives:

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  -  \cot(x)

6 0
4 years ago
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Answer:

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Step-by-step explanation:

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In the attachement, there is what I came up with so far. I think that finding 'a' is non-trivial, if possible at all.

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Step-by-step explanation:

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