Which equation has the same solution as x - 12 = 40 A. x/2 = 14
B. x + 12 = 40
C. 12 - x = 40
D. x/4 = 13

D. x/4 = 13

Step-by-step explanation:

Equations

Solve the following equation:

x - 12 = 40

Adding 12:

x = 52

Let's test each option to find which one of them has the same solution.

A. x/2 = 14

Multiplying by 2:

x = 28

B. x + 12 = 40

Subtracting 12:

x = 28

C. 12 - x = 40

Subtracting 12:

-x = 28

Multiplying by -1:

x = -28

D. x/4 = 13

Multiplying by 4:

x = 52

This last option is true.

D. x/4 = 13

there is no grid

step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct