Answer:
Step-by-step explanation:
Given : Yen calculates the product times . Before he multiplies, he simplifies all factors.
To find : What does the problem look like after he simplifies the factors?
Solution :
The product times
Now, We factor the terms
Therefore,
Step-by-step explanation:
On solving ,
=> -2x +5 < 3
=> -2x < 3 -5
=> -2x < -2
=> x < -2/-2
=> x < 1
Hence x can have all values less than 1 ,
Therefore ,
=> x € ( -∞ , 1 )
The 2 marked angles are alternate angles and so they are equal.
Therefore:- 3x + 5 = 65
3x = 60
x = 20 (answer)
Answer:
Length of garden will be 30 metres.
Step-by-step explanation:
Let the Width of garden be x metres.
then,
Length of garden will be (x+6) metres.
Area = Length × Breadth
720 = x X (c+6)
720 = x²+6x
0 = x²+6x-720
As we can see above equation is a quadratic equation in the form of ax²+bx+C.
so,
One of the Roots of the Quadratic equation is 24 and other is -30.
And as we know width of any garden cannot be negative so the width of garden will be 24 metres.
As we got the width,
adding 6 to it will give us the Length,
So,
24 metres + 6 = 30 metres.
Length of the garden is 30 metres.
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