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Ghella [55]
3 years ago
6

Cara is hanging a poster that is 91 centimeters (cm) wide in her room. The center of the wall is 180 cm from the right end of th

e wall. If Cara hangs the poster so that the center of the poster is located at the center of the wall, how far will the left and right edges of the poster be from the right end of the wall ?
Mathematics
1 answer:
Basile [38]3 years ago
4 0

500 cen to till the end of the wall

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Kira needs 28 strawberries for every 4 smoothies she makes.
Stella [2.4K]

Answer:

21

Step-by-step explanation:

28/4=7 (So it is 7 strawberries for every smoothie)

7*3=21

4 0
3 years ago
Read 2 more answers
The graph of the equation below is a circle. What is the length of the radius of the circle? (x - 4)^2 + (y + 12)^2 = 17^2
djverab [1.8K]
The correct answer is:  [D]:  "17" .
______________________________________________________
The radius is:  " 17" .
______________________________________________________
Note:
______________________________________________________
The formula/equation for the graph of a circle is:
______________________________________________________
   (x − h)²  +<span> </span> (y − k)² =  r²  ;

in which:  

          " (h, k) " ; are the coordinate of the point of the center of the circle;

           "r" is the length of the "radius" ; for which we want to determine;
_______________________________________________________
We are given the following equation of the graph of a particular circle:
_______________________________________________________

          →  (x − 4)²  +  (y + 12)² =  17² ;

which is in the correct form:

→  " (x − h)²  +  (y − k)² =  r²  " ;

 in which:  " h = 4 " ;

                  " k = -12" ;

                   "r = 17 " ;  which is the "radius" ; which is our answer.

          →  { Note that: "k = NEGATIVE  12" } ;

→  Since the equation <u>for this particular circle</u> contains the expression:             _________________________________________________________    
                      →     "...(y + k)² ..." ;  
         
[as opposed to the standard form:  "...(y − k)² ..." ] ; 
_________________________________________________________
→  And since the coordinates of the center of a circle are represented by:
            " (h, k) " ;  
 
→  which are:  " (4, -12) " ;  (<u>for this particular circle</u>) ; 
_________________________________________________________
→  And since:  " k = -12 " ;  (<u>for this particular circle</u>) ;
_________________________________________________________
then: 

 " [y − k ] ²  =  [ y − (k) ] ²  =  " [ y − (-12) ] ² " ;
                                    
                                         =  " ( y + 12)² "  ;
                                    
{NOTE:  Since:  "subtracting a negative" is the same as "adding a positive" ;

           →   So;  " [ y − (-12 ] " = " [ y + (⁺ 12) ] " = " (y + 12) "
___________________________________________________  
Note:  The above explanation is relevant to confirm that the equation is, in fact, in "proper form"; to ensure that the:  radius, "r" ;  is:  "17" .
___________________________________________________
           →    Since:  "r  =  17 " ;  

           →  The radius is:  " 17 " ;

          which is:  Answer choice:  [D]:  "17" .
___________________________________________________
8 0
3 years ago
Read 2 more answers
Part 1
andreev551 [17]

Answer:

see explanation

Step-by-step explanation:

Part 1

The n th term of a geometric sequence is

a_{n} = a(r)^{n-1}

where a is the first term and r the common ratio

Given a_{6} = 128, then

a(2)^{5} = 128, that is

32a = 128 ( divide both sides by 32 )

a = 4 ← first term

Part 2

a_{21} = 4(2)^{20} = 4 × 1048576 = 4194304

6 0
3 years ago
Which calculation would result in the decimal point moving two spaces to the right in a decimal number?
Burka [1]

Answer:

multiplying a number by 100 would result in the decimal point moving to the right. example: 0.64 x 100 = 64. hope this helps

Step-by-step explanation:

- Zombie

6 0
3 years ago
2 mangoes cost $3.00 at the store. What is the cost per mango?
lara [203]

Answer:

1 mango = $1.50

Step-by-step explanation:

2 mangoes - $3

1 mango - $?

3 / 2 = 1.5

So:

1 mango = $1.50

Hope this helped!

(Let me know if I got something wrong!)

5 0
3 years ago
Read 2 more answers
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