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Luda [366]
3 years ago
15

A square piece of paper has an area of x2 square units. A

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
5 0

Answer:

Length of rectangular strip = 12

area of rectangular strip =   2*12 = 24

Area of square =  x^2 = 12^2 = 144

Step-by-step explanation:

Area of square x^2

area of rectangle is given by length * width

Length of rectangular strip = x

width of rectangular strip = 2

area of rectangular strip =  length * width = 2*x = 2x

Area of square piece of paper when  rectangular strip is taken away from it

= Area of square - area of rectangular strip

= x^2 -2x

It is given that Area of square piece of paper when  rectangular strip is taken away from it is 120 square units.

Thus,

x^2 -2x = 120\\=> x^2 -2x -120 = 0\\=> x^2 -12x +10x-120\\=> x(x-12) +10(x-12)\\=> (x+10)(x-12) = 0\\\\

Thus,

either x+10 = 0 or x -12= 0

x = -10 or x = 12

but length cannot  be negative hence neglecting x = -10

hence value of x is 12.

Hence,

Length of rectangular strip = 12

area of rectangular strip =   2*12 = 24

Area of square =  x^2 = 12^2 = 144

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Lisa [10]

Answer:8000 i think

Step-by-step explanation:

=20 to the power of nine-20 to the power of four=20 to the power of three.

20 to the power of three is 8000.

Hope this helps.

4 0
2 years ago
Where is the removable discontinuity of f(x)=x+5/x^2+3x-10 located?
mario62 [17]
We are looking to find the point where the curve discontinued

Step 1: Factorise both numerator and denominator (if possible)
\frac{x+5}{ x^{2} +3x-10}= \frac{(x+5)}{(x+5)(x-2)}

Step 2: Recognise the common factor, which is (x+5)

Step 3: Equate the common factor to 0
x+5=0
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Answer: -5
3 0
3 years ago
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I need help PLZZZ!!!<br> Subtract<br> -5-(-6)=
USPshnik [31]

Answer:

1 is the answer

Step-by-step explanation:

-5-(-6) = x

-5 + 6 = x

1 = x

4 0
3 years ago
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A boat travels 105 km downstream in 5 hours. The return trip upstream takes 7 hours. Find the speed of the boat in still water a
notsponge [240]
Speed of the boat = u
speed of the current = v

in downstream,
u - v = 105/5
u - v = 21

in upstream
u + v = 105/7
u + v = 15

add both equations
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v = -3

so
speed of the boat = 18 km/h
speed of the current = 3 km/h
4 0
3 years ago
Given: 9x &gt; -36.
balu736 [363]
<h2>Greetings!</h2>

Answer:

{x | x > -4}

Step-by-step explanation:

The direction of the < or > sign only changes when numbers are multiplied or divided by negatives.

Because to simplify 9x > -36 you only need to divide by 9, the sign stays the same and the numbers are simply divided:

\frac{9x}{9}  > \frac{-36}{9}

x > -4

So the solutuon set would be:

<h3>{x | x > -4}</h3>
<h2>Hope this helps!</h2>
8 0
3 years ago
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