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adoni [48]
3 years ago
7

after one side of a square was enlarged by 3 inches and the other side was enlarged by 3 inches, the area of the shape was doubl

ed. what was the side of the square.
Mathematics
1 answer:
qaws [65]3 years ago
8 0

Answer:

The side of original square was 7.24 inches

Step-by-step explanation:

(x+3)(x+3) =2(x)(x)

x² + 6x + 9 = 2x²

reduce:

x² - 6x - 9 = 0

(x + 1.24)(x - 7.24) = 0

x = 7.24

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Answer:

Inverted parabola

Two complex solution

Step-by-step explanation:

any quadratic equation can be expressed in terms of ax^2 + bx + c = 0

It has two solutions which can be found using formula X =( -b + \sqrt{b^2 -4ac} )/2a \\or  \ ( -b - \sqrt{b^2 -4ac} )/2a

We know that  for any value inside the square root function

if it is positive its solution will be real number

for example  \sqrt{9} we can have two real solution -3 and 3

if it is negative its solution will be complex number

for example  \sqrt{-9}we can have two complex solution

expressed in term of a + ib or a - ib

------------------------------------------------------------------------------------------

Given in the problem

we have  ax^2 - bx + c

so its solution will be

X =( -(-b) + \sqrt{b^2 -4ac} )/2a \\or  \ ( -(-b) - \sqrt{b^2 -4ac} )/2a\\\\X =( b + \sqrt{b^2 -4ac} )/2a \\or  \ ( b - \sqrt{b^2 -4ac} )/2a\\

Since in this expression it is given in problem statement that b^2 - 4ac < 0 which will be a negative number and for negative number, its square root is complex number.

also X has two values as given above it will have two solution

hence it will have two complex solution based on above discussion.

Also for any quadratic equation shape of its curve if plotted on coordinate plane is parabolic.

If it has complex solution then curve of such expression  will not pass through X axis

7 0
3 years ago
Help please 10 points
Olin [163]
That's a 45 degree angle 
3 0
3 years ago
Read 2 more answers
Genevieve spent $56.25 to fill her 15-gallon tank. How much did she pay per gallon?
Montano1993 [528]
To solve this problem, you have to divide the price by the number of gallons. So 56.25/15 = 3.75 Therefore Genevieve payed $3.75 per gallon
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3 years ago
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polet [3.4K]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
A and B are two similar ornaments in the shape of a fish. The surface area of 44.8 cm and the surface area of B 179.2 cm Find th
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Answer:

400 cm

Step-by-step explanation:

1 cm = 1000m

44.8 cm=?

8 0
2 years ago
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