3 years ago

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Mathematics

1 answer:

andrezito [222]3 years ago

7 0

The answer is C because the equations become true.

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7. Which two equations are equivalent?

sineoko [7]

Answer:

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

6 0

3 years ago

What is the slope and y intercept of the line 6x + 2y = 12

Dafna11 [192]

Answer:

Slope: -3

y- intercept: (0, 6)

Step-by-step explanation:

8 0

3 years ago

A rancher has 400 feet of fencing to put around a rectangular field and then subdivide the field into 3 identical smaller rectan

MAXImum [283]

Answer:

longer parallel sides are 150ft each with 4 shorter sides at 25ft each making a rectangle and 3 identical sections.

Step-by-step explanation:

150 + 150 = 300

4 ×25 = 100

300+100=400

5 0

3 years ago

Darian gets paid $6.35 an hour to help out at his dad's shop. He also mows his neighbor's lawn each week for $25. He earned $119

Alenkasestr [34]

You have to add all then you subtract the answer to last number and you will get your answer

6 0

3 years ago

Read 2 more answers

The work that Yi did to find the greatest common factor of 42 and 63

Lilit [14]

Answer:

Step-by-step explanation:

factors of 42: 1,42, 2,21, 3,14, 6,7

factors of 63: 1,63, 3,21, 7,9

7 0

3 years ago