A student claims that he can solve 12x+8y= 40 and 4x+5y=18 for x and y by adding the first Equation to a multiple of the second Equation. He can then use the new Equation and the first Equation to create a new system that has the same solution as the original system. The student begins by listing four different Equations. Determine whether the student can use that Equation to replace the second Equation and create a new system that has the same solution. Select Yes or No for each Equation.

associative property hopes this ! : )

step-by-step explanation:

the answer is c)8

step-by-step explanaction:

41*67/2=1373.5

step-by-step explanation:

i just used a calculator

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1