A square is dilated by a scale factor of 4/5 to create a new square. What is the relationship between the new area and the origi
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Answer:
B and E
Step-by-step explanation:
Given the rational expression
← factorise the denominator
2x² - 32 ← take out a common factor of 2 from each term
= 2(x² - 16) ← (x² - 16) is a difference of squares
= 2(x - 4)(x + 4)
The expression can now be written as
The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be.
2(x - 4)(x + 4) = 0
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
These are the values of x that make the expression undefined.
x = 4 → B
x = - 4 → E
For this case we have the following system of equations:
Equating the equations we have:
To find the solutions we factor the equation. To do this, we look for two numbers that, when multiplied, result in -3 and when added, result in -2.
These numbers are: -3 and +1
Thus, the factored equation is:
Then, the solutions for the variable "x" are:
We find the solutions for the variable "y":
Thus, the solutions are:
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