Answer:
-1/2 is the work
Step-by-step explanation:
hope this helped
Given:
The equation is:
To find:
The number that belongs in the green box and another box.
Solution:
We have,
Subtracting 2x from both sides, we get
Adding 2 on both sides, we get
We need to divide both sides by 3 to isolate the variable x.
On dividing both side by 3, we get
Therefore, the missing values are 3 and 3, and the required equation is .
Answer:
Step-by-step explanation:
Integer factors of 117 include ...
... 117 = 1×117 = 3×39 ≈ 9×13
The last factor pair is two factors that differ by 4. We can take these to be the dimensions of the rectangle.
_____
If you want to write an equation for width (w), it might be ...
... w(w+4) = 117
... w² +4w -117 = 0
The factorization problem for this quadratic is the problem of finding two factors of 117 that differ by 4. That is what we have done, above.
If you want to solve this by completing the square, you can to this:
... w² +4w = 117
... w² +4w +4 = 121 . . . . . add 4 = (4/2)² to complete the square
... (w+2)² = 121
... w + 2 = ±√121 = ±11 . . . . take the square root
... w = -2 ± 11 . . . . . we're only interested in the positive solution
... w = 9, then w+4 = 13 and the dimensions are 9 cm by 13 cm.
Answer:
Step-by-step explanation:
If you factor the first one you get 
The 6x times 5 gives 30x, added to 30x, the middle term so it works.
For the 2nd one you know the factoring has to be 
so its easy to multiply to get 48x as the middle term.
Answer:
5(x+2)
Step-by-step explanation:
