Answer:
Part a) The square rug cover the greater area
Part b) The square rug cover 0.33 square feet more than the rectangular rug
Step-by-step explanation:
step 1
Find the area of the square rug
The area of a square is
where
b is the length of the square
we have
substitute
step 2
Find the area of the rectangular rug
The area of the rectangle is
we have
substitute
step 3
Compare the areas
so
The square rug cover the greater area
step 4
Find the difference
so
The square rug cover 0.33 square feet more than the rectangular rug
Answer:
15/34
Step-by-step explanation:
Edited with the correct answer, sorry I made a mistake
18 + 46 = 64
See image
6s into 6 = 1
6s into 4 = 0 - carry the 4 over to the next space
6s into 40 = 6 remainder 4 - carry the 4
6s into 40 = 6 remainder 4 - carry the 4
4 will become repeatedly carried (an infinite number of times) so we call it a recurring number. This can be shown by a number (in this case 6) with a dot above it.
(18 + 46)/6 = 10.666... or 10.67
Move everything to one side and factorize by grouping.
x⁴ - 4 = x³ + 2x
x⁴ - x³ - 2x - 4 = 0
(x⁴ - 4) - (x³ + 2x) = 0
(x² - 2) (x² + 2) - x (x² + 2) = 0
(x² - x - 2) (x² + 2) = 0
(x - 2) (x + 1) (x² + 2) = 0
Then
x - 2 = 0 or x + 1 = 0 or x² + 2 = 0
x = 2 or x = -1 or x² = -2
If x is real, then the third case has no solution. Then x = 2 or x = -1. Otherwise, we can solve over the complexes and include x = ± √2 i where i = √(-1).
