A painting is 18 inches wide. It is placed inside a frame with a border that is x inches wide. The total width of the painting a
2 answers:
Answer:
An equation to model the situation is and the width of the border is 3 inches
Step-by-step explanation:
Given :A painting is 18 inches wide. It is placed inside a frame with a border that is x inches wide.
The total width of the painting and the frame is 24 inches.
To Find : Create an equation to model the situation, and then solve the equation to find the width of the border.
Solution :
Width of painting = 18 inches
It is placed inside a frame with a border that is x inches wide. (from 1 side)
So, Total width of painting +frame = 18+2x
We are given that The total width of the painting and the frame is 24 inches.
So, equation becomes :
Hence an equation to model the situation is and the width of the border is 3 inches
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Answer:
-1
Step-by-step explanation:
We need to simplify the given expression . The given expression is ,
Here we can see that the power of the both exponent is same that is (2n+1) . Recall the property of exponents ,
Using this property , we have ,
This can be written as ,
Simplifying using ( a+b)(a-b) = a² - b² ,
Subtracting the numbers inside the brackets ,
Now we know that every odd number is in the form of 2n -1 , where n is any integer. Therefore , the <u>power is odd</u> .
Since the base is (-1) , for even power it is 1 and for odd power it is -1 . Therefore the final answer is ,
<u>Hence </u><u>the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>(</u><u>-</u><u>1</u><u>)</u><u> </u><u>.</u>