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cestrela7 [59]
2 years ago
11

Is there any positive number b so that the expression logb (0) makes sense? Explain how you know?

Mathematics
1 answer:
topjm [15]2 years ago
7 0

Answer:

No.

Step-by-step explanation:

The logarithm of a number to the base b of a certain number  is the exponent

to which the base b is raised to equal the given value.

So say we have  logb y = a, then

y = b^a

So if y = 0 then

0 = b^a

If b is a positive number then there is no value of a that makes y = 0.

for example y = b^0 = 1, y = b^1 = b  etc.

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Find the value of the variable.
nalin [4]

Answer:

The variable, y is 11°

Step-by-step explanation:

The given parameters are;

in triangle ΔABC;          {}              in triangle ΔFGH;

Segment \overline {AB} = 14         {}               Segment \overline {FG} = 14

Segment \overline {BC} = 27         {}              Segment \overline {GH} = 19

Segment \overline {AC} = 19         {}               Segment \overline {FH} = 2·y + 5

∡A = 32°                       {}                ∡G = 32°

∡A = ∠BAC which is the angle formed by segments \overline {AB} = 14 and \overline {AC} = 19

Therefore, segment \overline {BC} = 27, is the segment opposite to ∡A = 32°

Similarly, ∡G = ∠FGH which is the angle formed by segments \overline {FG} = 14 and \overline {GH} = 19

Therefore, segment \overline {FH} = 2·y + 5, is the segment opposite to ∡A = 32° and triangle ΔABC ≅ ΔFGH by Side-Angle-Side congruency rule which gives;

\overline {FH} ≅ \overline {BC} by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

∴ \overline {FH} = \overline {BC} = 27° y definition of congruency

\overline {FH} = 2·y + 5 = 27° by transitive property

∴ 2·y + 5 = 27°

2·y = 27° - 5° = 22°

y = 22°/2 = 11°

The variable, y = 11°

8 0
2 years ago
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sasho [114]

Answer:

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linear polynomial

Step-by-step explanation:

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3 years ago
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e-lub [12.9K]

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Step-by-step explanation:

7 0
3 years ago
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12) 12, 8

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12 + 8 = 20

Answer: 4 < x <span>< 20

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11 - 3 = 8

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Answer: 8 </span>< x <span>< 14

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3 0
3 years ago
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AysviL [449]

Answer:

1/5

Step-by-step explanation:

\frac{2-1}{3--2} = \frac{1}{5}

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