Answer: " p = - 6 " .
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Step-by-step explanation:
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Given: 14 = - (p - 8) ; Solve for "p" ;
Rewrite as:
↔ - (p - 8) = 14 ;
which is the same as:
-1(p - 8) = 14 ; ;
Divide each side by "-1" ; to get rid of the "-1" ;
{-1(p - 8) } / -1 = {14} / -1 ;
to get:
(p - 8) = -14 ;
Rewrite as:
p - 8 = -14 ;
Now add "8" to each side of the equation;
to isolate "p" on one side of the equation; & to solve for "p" :
p - 8 + 8 = -14 + 8 ;
to get:
p = - 6 ;
which is the answer:
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p = - 6 .
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Now, let us check our answer:
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Given: 14 = - (p - 8) ;
Substitute our solved value: "-6" ; for "p" ; to see if the equation holds true:
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14 = - (p - 8) ;
14 =? -(-6 - 8) ;
14 =? -(-14) ;
14 =? + 14 ? Yes!
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Hope this answer and explanation is helpful to you!
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Answer:
a) enlargement
b) scale factor is 2
Step-by-step explanation:
As we can see, we went from the block to the red figure
a) Since the red figure is bigger, then what we have is an enlargement of the original figure
b) As we can see, the coordinates of the red is two times the value of the coordinates of the black
So, we can conclude that what we have as a scale factor is 2
I would put d for the answer
The second garden plot will require 8√5 feet more fence than the first garden plot.
Further explanation:
In order to find the fence, we have to find the perimeter of both squares
So,
Area of Square 1: A1=180 square feet
Area of Square 2: A2=320 Square feet
Let x be the side of square 1:
Then,
For second square:
Let y be the side of second square
Perimeter of First Square:
Perimeter of Second Square:
The smaller perimeter will be subtracted from larger perimeter to find that how much more fence will be needed.
The second garden plot will require 8√5 feet more fence than the first garden plot.
Keywords: Radicals, Operations on Radicals
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