Itis true or false plz be fast
1 answer:
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Answer:
Tristan is correct, because he needs to find the possible dimensions for rectangle WXYZ and then divide each dimension by 3.
Step-by-step explanation:
The rectangle ABCD is dilated by a factor of 3 to get the rectangle WXYZ whose area is found to be 72 cm².
Let the dimensions of the dilated rectangle WXYZ are a cm by b cm.
So, ab = 72 ........... (1)
Now, the dimensions of the original rectangle are 3 times lesser than the dimensions of rectangle WXYZ.
So, the area of rectangle ABCD will be cm² {from equation (1)}
Therefore, Tristan is correct, because he needs to find the possible dimensions for rectangle WXYZ and then divide each dimension by 3. (Answer)
The factorization will be (x-y)*(3x-y) .
Factorization : Factorization is a method of breaking the arithmetic algebraic expressions into the product of their factors. If we multiply the factors again, then they will result in original expression. The given question is a quadratic equation . Therefore we'll get two parts on breaking and 2 roots .
Factorizing : 3 x²-4xy+y²
Splitting term -4xy into - 3xy and -xy
3 - 3xy -xy +
Taking common from first two and last two terms ,
3x (x-y) + y(-x+y)
Taking minus common from last term ,
3x(x-y) - y(x-y)
Again taking common
(x-y) * (3x-y)
Hence , the factorization will be 3 x²-4xy+y² = (x-y) * (3x-y) .
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