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charle [14.2K]
3 years ago
14

Log(1+y) - log(1-y) = log x in 2 decimal places, express y in terms of x

Mathematics
2 answers:
Bond [772]3 years ago
7 0
Express y in terms of x.

Log (1+y) - Log (1-y) = Log x
GaryK [48]3 years ago
6 0

Answer: y = \frac{x-1}{x+1}

Step-by-step explanation:

log(1+y) - log(1-y) = log x \\log\frac{1+y}{1-y} =log x\\x = \frac{1+y}{1-y}\\x(1-y)=1+y\\x-xy=1+y\\x-1 = xy+y\\y(x+1)=x-1\\y=\frac{x-1}{x+1}

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Effectus [21]

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the other triangle has 1/2 of that ratio. 10/2=5 and 6/2=3

6 0
3 years ago
1. A new ice cream shop is opening up and the owners are making a large ice cream cone for display What is the volume of the ice
Lelu [443]

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3 0
3 years ago
Read 2 more answers
1. Based on the information given, can you determine that the quadrilateral must be a
zhenek [66]

<u>Solving Q1: Given BE = ED and AE = EC.</u>

Considering triangles ΔAED and ΔCEB;

1. AE = EC (given)

2. ∠AED = ∠CEB (vertical angles)

3. ED = EB (given)

ΔAED ≡ ΔCEB (Side-Angle-Side congruency of triangles)

∠DAE = ∠BCE and AD = BC (using CPCTC)

⇒ AD║BC (Converse of Alternate Interior angles theorem)


Similarly consider triangles ΔABE and ΔCDE;

1. AE = CE (given)

2. ∠BEA = ∠DEC (vertical angles)

3. BE = DE (given)

ΔABE ≡ ΔCDE (Side-Angle-Side congruency of triangles)

∠ABE = ∠CDE and AB = CD (using CPCTC)

⇒ AB║CD (Converse of Alternate Interior angles theorem)


Since we have AB║CD, AB = CD and AD║BC, AD = BC.

Therefore, quadrilateral ABCD is a parallelogram.

****************************************************************************************************

<u>Solving Q2: The parallelogram has the angle measures shown in the diagram.</u>

It is clearly visible that both the triangles are Isosceles triangles, so opposite sides in each triangle are equal.

Consider two triangles given in the problem, we have two sets of congruent angles and one included side is common in both triangles.

Using Angle-Side-Angle congruence of triangles, both the triangles would be congruent too.

Using CPCTC, we can say opposite sides of quadrilateral would be congruent.

Therefore, all sides in given quadrilateral are equal.

Hence, Given quadrilateral is a Rhombus.

7 0
3 years ago
Points (-5,-3) (-2,-2) (-4,-6) reflected over y=-x-1
Mars2501 [29]

Answer:

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Step-by-step explanation:

8 0
3 years ago
Complete the equation: 96 in =<br> yd.
disa [49]

Answer:

2.666666667

Step-by-step explanation:

12in=1ft

3ft=1yd

96/12=8

8/3=2.666666667

3 0
3 years ago
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