Condense and simplify, if possible: 2 In 3 + 3 ln x – 2 In y
1 answer:
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Answer:
6hours
Step-by-step explanation:
From the given information:
Suppose it took Karl x hours to retile her bathroom,
Then it will take Della 3 hours longer i.e (3+x) hours
If Della and Karl work together or will take them 2 hours
The objective is to determine how long it will take Delia to retile the bathroom alone?
∴
By cross multiplying, we have:
2(2x+3) = 3x+x²
4x + 6 = 3x + x²
3x + x² - 4x - 6
x² - x - 6 = 0
Using quadratic equation
x² -3x +2x - 6 = 0
x(x - 3) + 2(x - 3) = 0
(x +2) (x - 3) = 0
x + 2 = 0 or x - 3 = 0
x = -2 or x = 3
Since we are concerned about the positive integer,
Then, Karl = x = 3 hours while Della which is (3+x) = 3+3 = 6hours
Answer:
<u>Option B. 11</u>
Step-by-step explanation:
See the attached figure
As the figure about an ellipse
So, The sum of distance between A and the foci will be equal the major axis
AB = 6 and the major axis = 17
∴ AB + AC = major axis
∴ 6 + AC = 17
∴ AC = 17 - 6 = 11
<u>So, the length of the blue line segment = 11</u>
