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.
I have 65 ten thousandths
Answer:
2 sqrt(30)
Step-by-step explanation:
We want to find the norm of the matrix
( -2 6
4 8)
Take the square root of the sum of the squares
sqrt( (-2) ^2 + 6^2 + 4^2 + 8^2)
sqrt( 4+36+16+64)
sqrt( 120)
sqrt( 4*30)
2 sqrt(30)
The multiplying division subtract addition
Answer Step one x=16/9 =1.778
Last step is x²=0
Hope I helped you