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larisa86 [58]
3 years ago
7

A photograph is 18 cm by 12 cm. It is to be surrounded by a frame of uniform width whose area is equal to that of the photograph

. Find the width of the frame
Mathematics
1 answer:
melisa1 [442]3 years ago
5 0

Answer:

Width of the frame = 54 cm

Step-by-step explanation:

  1. Find area of the frame = l*h = 18*12 = 216 cm
  2. Area of the frame = area of the photograph = 216 cm
  3. Use the given fact, photograph is surrounded by a frame of uniform width = all sides are equal.
  4. width of the frame = 216/4 = 54

<u>Source</u><u>: TutorEye</u>

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(2x³+4x²-x+8) / (x² + 3x + 2)
a_sh-v [17]

\dfrac{2x^3+4x^2 -x+8}{x^2 +3x+2}\\\\\\=\dfrac{2x^3+6x^2+4x-2x^2-6x-4+x+12}{}\\\\=\dfrac{2x(x^2 +3x+2)-2(x^2 +3x+2)+x+12}{x^2 +3x+2}\\\\\\=\dfrac{2x(x^2+3x+2)}{x^2 +3x +2 }- \dfrac{2(x^2 +3x +2)}{x^2 +3x +2 } + \dfrac{x+12}{x^2 +3x+2}\\\\\\=2x-2 + \dfrac{x+2}{x^2 +3x +2}\\\\\\=2x-2 + \dfrac{x+12}{x^2 +2x +x +2}\\\\\\=2x-2 + \dfrac{x+12}{x(x+2) + x+2}\\\\\\=2x-2 + \dfrac{x+12}{(x+1)(x+2)}\\

3 0
2 years ago
5.
Verdich [7]

Answer:

Step-by-step explanation:

let's say is 42 and 53 if u know your numbers of course you know  the answer but the number that is bigger like 53 that the bigger number but if negative that is the smaller number

4 0
3 years ago
Someone plz help! thx
timurjin [86]
Convert each mixed number to an improper fraction

--------------------------------------------
Convert 6&1/2 to an improper fraction

6&1/2 = (6*2+1)/2
6&1/2 = (12+1)/2
6&1/2 = 13/2
--------------------------------------------
Do the same for 9&1/4

9&1/4 = (9*4+1)/4
9&1/4 = (36+1)/4
9&1/4 = 37/4
--------------------------------------------
Now multiply the improper fractions 13/2 and 37/4. Multiply straight across

(13/2)*(37/4) = (13*37)/(2*4)
(13/2)*(37/4) = 481/8
--------------------------------------------
The last step is to use long division to find the mixed number equivalent of 481/8

Or we an say 
60*8 = 480
So 60*8+1 = 480+1
which means 
481/8 = (480+1)/8 = 480/8+1/8 = 60&1/8

Making the final answer to be choice C

Another way to get the answer is to convert 481/8 into a decimal to get 60.125 and then convert that back to a mixed number. You should get 60&1/8
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3 years ago
Equation 1: 5x + 3y=8<br> equation 2: 4x + 7y= 34<br><br> 9x-10y=42 true
jarptica [38.1K]

Answer:

true

Step-by-step explanation:

5x + 4x = 9x

3y + 7y = 10y

8 + 34 = 42

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3 years ago
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