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.
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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:
Total need of salt = 5/3 tsp or 1.67 tsp (approx)
Step-by-step explanation:
Given:
Total number of cake = 5 cakes
Each cake need = 1/3 tsp
Find:
Total need of salt
Computation:
Total need of salt = Total number of cake x Each cake need
Total need of salt = 5 x (1/3)
Total need of salt = 5/3 tsp
Total need of salt = 5/3 tsp or 1.67 tsp (approx)
Answer:
2³×7
Step-by-step explanation:
85. Relative mins are at x=-1 and x=3; relative max x=1
As x > -infinity, y > infinity
As x > infinity, y > infinity
Answer:
m=15w
Step-by-step explanation:
i did the test before :)
