Consider the these two linear equations: 10x + 5y = 90
y = ax + 18
What value of a will make the two lines parallel?

  a = -2

Step-by-step explanation:

The first equation can be rewritten in slope-intercept form:

  5y = -10x +90

  y = -2x +18

The value a=-2 will make the second line identical to the first.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".