What term should be added to y2-14y to make it a perfect square
trinomial?

49

Step-by-step explanation:

Given the monomial y²-14y, in order to make the binomial a perfect square, we need to add a constant to the function using completing the square method.

To get the constant, we will multiply the coefficient of y by 1/2 and then square the resulting value.

- The coefficient of y is -14.

multiplying the coefficient of y by 1/2 will give -14/2 = -7

- squaring -7 will result in (-7)²

= 49

The constant that will be added to the binomial to make it a perfect square trinomial is 49

y=sec x is the correct answer

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