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Inessa [10]
2 years ago
11

Please help how to find the value of x and find the length of segment AD, the value is 5 I just need to show my work.

Mathematics
1 answer:
alexdok [17]2 years ago
5 0

Answer:

9. x = 5

10. AD = 7

Step-by-step explanation:

As shown in the diagram, BD is a perpendicular bisector. And D is a point on the perpendicular bisector, meaning it is equidistant from the endpoints on the segment(points A and C). Because of this, we can say AD = CD.

We can substitute to get:

2x - 3 = x + 2

And simplify and solve:

x - 3 = 2

x = 5

AD is just 2x - 3, so we can substitute in x to find AD:

AD = 2(5) -3

AD = 10 - 3

AD = 7

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xyz = 252

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Since this is now a function of 2 variables, I'll rewrite this as

C* (x, y) = 7xy + 1512 (1/y + 1/x)

Compute the partial derivatives of C and find the critical points:

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Now find the critical points of C** :

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