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tia_tia [17]
3 years ago
12

How do I find: If 6^x=1/216,find the value of x with and without a Casio calculator?

Mathematics
1 answer:
san4es73 [151]3 years ago
8 0

Answer:

The value of x is -3.

Step-by-step explanation:

To find x, we have to put everything in base 6 and continue to simplify. Since we know that 216 is 6^3, we can replace that.

6^x = 1/216

6^x = 1/(6^3)

Now, when there is a power in the denominator, we know we can move it to the numerator by making it negative. We can do that to get the bases to match.

6^x = 1/(6^3)

6^x = 6^-3

Now that they are both put in simple base 6 systems, we can just eliminate the bases and assume that the powers are equal. This lets us know that x = -3.

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den301095 [7]

Let X = science homework.

Then math homework would be 3x ( three times as long).

Now you have math plus science = 64 minutes:

x  + 3x = 64

Combine like terms:

4x = 64

Divide both sides by 4:

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6 0
3 years ago
PLEASE HELP ASAP!! WILL GIVE BRAINIEST + 30 POINTS!!
Goryan [66]

Given rectangle RUTS, the missing reasons that justifies the five statements in the two-column proof are:

  1. Given
  2. Definition of rectangle.
  3. Definition of rectangle.
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<h3>What is a Rectangle?</h3>
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Therefore, based on what we are given and the definition of a rectangle, we can establish that △URS ≅ △STU by SAS.

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In conclusion, given rectangle RUTS, the missing reasons that justifies the five statements in the two-column proof are:

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2 years ago
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