Answer:
Step-by-step explanation:
From the given information:
r = 10 cos( θ)
r = 5
We are to find the the area of the region that lies inside the first curve and outside the second curve.
The first thing we need to do is to determine the intersection of the points in these two curves.
To do that :
let equate the two parameters together
So;
10 cos( θ) = 5
cos( θ) = 

Now, the area of the region that lies inside the first curve and outside the second curve can be determined by finding the integral . i.e









The diagrammatic expression showing the area of the region that lies inside the first curve and outside the second curve can be seen in the attached file below.
Answer:
Substitute, <em><u>y = -3</u></em> and <em><u>x = k</u></em> on the equation.
=> k - 2×(-3) = -2
=> k = -2 + (-6)
=> k = - 8
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Any Doubts? Please COMMENT
B -6 because absolute value ignores negatives
Answer:

Step-by-step explanation:
Given: 
Let's changed that mixed number to an improper fraction. Now we get:

Let's find out least common denominator. This one is easy, the LCD is 8. Now that we know the LCD, let's convert both our fractions:

We can use
because it is equal to
. Now, all we need to do is subtract the numerators:

3x + x = 1044
4x = 1044 - divide both sides by four
x = 261
coffee table - $261
couch - $783