Answer:
w=2
Step-by-step explanation:
I'm too lazy to explain the first part but here:
3/4w=6/4
w=2
Answer:
The answer is (5.91, 0.3)
Differences:
If the a≠1, then instead of finding two numbers that when multiplied equal c and when added equal b (which is the a=1 situation), you are looking for two numbers which when multiplied equal ac and add up to be b.
When finding the two numbers for a≠1, you cannot just plug the two numbers into (x+__)(x+__), you have to extend the b term into those two numbers.
After extending the b term into the two terms, you then have to group them and take out the GCF's unlike in an a=1 situation.
Similarities:
The first step for both is finding two terms which equal b if added.
Once factored, you have to set the factored sections to zero if you wish to find the solutions.
Before finding the two terms which equal b if added, you should take out any GCF's from the overall equation.
Answer:
4 cm
Step-by-step explanation:
If x is the length of the side of the square (in cm), then the area of the base is ...
1344 = (40 -2x)(50 -2x)
336 = (20 -x)(25 -x) . . . . . divide by 4
336 = x^2 -45x +500
Subtracting 336 gives ...
x^2 -45x +164 = 0
(x -41)(x -4) = 0 . . . . . . . factor
x = 4 . . . . . . . . the dimension must be less than 20
The length of the sides of the squares is 4 cm.
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A graphing calculator makes short work of it.
