Answer:
x = 6 cm
Step-by-step explanation:
We can write equations for length and width using the information given:
length = 2 + x
width = 2x - 5
Area = (length)(width) = 56
Area = (2 + x)(2x - 5) = 4x - 10 + 2x² - 5x
Simplifying:
Area = 2x² - x - 10 = 56
2x² - x - 66 = 0
Factoring:
(2x + 11)(x - 6) = 0
x = 6, -11/2
We choose the positive number: x = 6 cm
To check, plug in 6 for x:
Area = (2 + x)(2x - 5) = 56
(2 + 6)(12 - 5) = 56
(8 × 7) = 56
56 = 56
Answer:
Multiplying a complex number by a real number
(x + yi) u = xu + yu i. In other words, you just multiply both parts of the complex number by the real number. For example, 2 times 3 + i is just 6 + 2i. Geometrically, when you double a complex number, just double the distance from the origin, 0.
binomial methods
Complex numbers use binomial methods of multiplication because unlike real numbers, imaginary numbers have two components.
So probably A. I sorry, but I need more information. Hope this helps
Step-by-step explanation:
Answer:
of the books in the book store are mystery fiction books.
Step-by-step explanation:
Let x represent all the books in the books store.
Then, the fraction of books that are fiction books is 
We have that;
of the fiction books are mystery books.
The fraction of the books at the bookstore that are mystery fiction books is
.
Therefore
of the books in the bookstore are mystery fiction books.