Completing the square is a process to find the solutions, or the x-values, to a quadratic equation. This method can only work if it is in the format: x^2 + bx = c
In this equation, the b value is -12 and the c value is -6. The process for completing the square goes like this:
x^2 + bx + (b/2)^2 = c + (b/2)^2
Now let’s solve the equation above using this method.
Step 1: x^2 - 12x + (-12/2)^2 = -6 + (-12/2)^2
Step 2: x^2 - 12x + (-6)^2 = -6 + (-6)^2
Step 3: x^2 - 12x + 36 = -6 + 36
Step 4: x^2 - 12x + 36 = 30
Now, to factor it. After doing the process until now, the left side of the equation can ALWAYS be in the format: (x + a)^2
Step 5: x^2 - 12x + 36 can be factored in this format as (x - 6)^2
Step 6: (x - 6)^2 = 30
Step 7: x - 6 = √30
Step 8: x = 6 ±√30
Hi there!
5(2f+3)+7
= 10f+15+7
= 10f+22
Hope this helps!
Answer:
The inches in height will be 18 inches.
Step-by-step explanation:
Okay so we know that the original width is 4 inches and she enlarged that to 12 inches
So what we first have to do is find out how much did the photograph "grow" per se. To find this we have to divide 12 by 4. 12 divided by 4 = 3.
So, the width of the photograph grew "times 3" inches
Now whatever you do to the width you have to do to the height. In this case, what is "3 times" 6 (which is the height). 3 times 6 = 18 inches
So in simpler words 12 divided 4 = 3 x 6 = 18 inches
The inches in height will be 18 inches.
Jill has a square with a width of 12 inches, and a height of 18 inches.
Have a wonderful day!
I think it might be the second option