Given : The Area of the Rectangle = x⁴ - 100
We know that : (a + b)(a - b) = a² - b²
⇒ x⁴ - 100 can be written as : (x²)² - (10)²
⇒ (x²)² - (10)² can be written as : (x² + 10)(x² - 10)
We know that, Area of a Rectangle is given by : Length × Width
Comparing (x² + 10)(x² - 10) with Area of the Rectangle formula, We can notice that :
⊕ Length = x² + 10
⊕ Width = x² - 10
Given : Length of the Rectangle is 20 units more than Width
⇒ Width + 20 = Length
⇒ x² - 10 + 20 = x² + 10
⇒ x² + 10 = x² + 10
<u>Answer </u>: x² - 10 represents the width of the rectangle. Because the area expression can be rewritten as (x² - 10)(x² + 10) which equals
(x² - 10)((x² - 10) + 20)
⇒ Option A
Answer:
5 times
Step-by-step explanation:
First, we need to read the change in price in 2000 and 2007, from the graph.
So, the change in price in 2000 was $0.14 and in 2007 it was $0.71.
Now, we do the same thing we always do when comparing two values - we divide them. So:
0.71 / 0.14 = 5.07
Of course, we could multiply these values with 100, in order to avoid decimal numbers. Then we would get:
71 / 14 = 5.07
We could also divide this in the form of fractions:
71/100 / 14/100 = 5.07
There are several ways we could divide rational numbers, but the result will always be the same.
Change in price in 2007 was around 5 times greater than the change in 2000.
Answer:
x=-59
Step-by-step explanation:
3x+2-4x=61
-x+2=61
-x=59
x=-59
