Mathematics: 7. which two equations are equivalent? a. y = (x + 3)2 and y = x2 + 6 b. y = (x – 5)2 and y = x2 – 25 c. y = (x – 3)2 and y = x2 - 6x + 9 d. y = (x + 5)2 and y = x2 + 25x + 10

15Step-by-step explanation: first divide the area 375 by the base 25 and that will lead u to 15 for the height. ps 6th grader...

7. which two equations are equivalent? a. y = (x +

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14.03.2022

C. y=(x-3)^2 and y=x^2-6x+9

Step-by-step explanation:

before answering the problem let us remind the formula for square of sum and differences

$(a+b)^2=a^2+2 \times a \times b + b^2$

$(a-b)^2=a^2-2 \times a \times b + b^2$

We are going to use the above two formulas to solve each part and come to an answer

A. y = (x + 3)^2

$(x + 3)^2=x^2+2 \times x \times 3 + 3^2$

(x + 3)^2=x^2+6x+9

Hence this option is not correct pair

B. y = (x-5)^2

$(x - 5)^2=x^2-2 \times x \times 5 + 5^2$

(x -5)^2=x^2-10x+25

Hence this option is also not correct pair

C. y = (x -3)^2

$(x - 3)^2=x^2-2 \times x \times 3 + 3^2$

(x -3)^2=x^2-6x+9

Hence this option is correct as it have equivalent pair

D. y = (x + 5)^2

$(x + 5)^2=x^2+2 \times x \times 5 + 5^2$

(x + 5)^2=x^2+10x+25

Hence this option is also not correct pair

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