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3 years ago

Which equation is equivalent to (1/3)^x=27^x+2?

Mathematics

1 answer:

ruslelena [56]3 years ago

6 0

Ok so the answer is D because first I solved the equation because you can’t find which answer choice it is equivalent to if you didn’t solve it ... so I solved the equation and got x=-3/2 how I solved this is

3^-x = 3^3x+6 ... since the bases are the same, set the exponents equal
-x=3x+6..... move the variable to the left-hand side and change its side
-x-3x=6 ... collect like terms
-4x = 6..... divide both sides of the equation by -4 and I got x=-3/2
I don’t want this text to be that long so they both seem calculated the same way that’s why i got -3/2 hope that helps;-;

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Answer:

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Step-by-step explanation:

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2 years ago

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2 years ago

The points A BC :(2, 2,1), :(1,1,3), :(2,0,5) − are the vertices of a right triangle. The radius of the sphere with center at th

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Answer:

r=1

Step-by-step explanation:

First we need to know the length of each side of the triangle, so we use the formula of the vector modulus:

$|AB|= \sqrt{(b_{1}-a_{1})^{2}+(b_{2}-a_{2})^{2}+(b_{3}-a_{3})^{2}$

By doing so, we find:

$|AB|=\sqrt {6}\\|BC|=\sqrt {6}\\|AC|=2\sqrt {5}$

With this we know that the triangle is not right, but, we assume the longest side as the hypotenuse of the problem.

As we have two equal sides, we know that the line between point |AB| and the center of the hypotenuse is perpendicular, therefore, we can calculate it using Pythagoras theorem:

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2 years ago

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dybincka [34]

Answer:

C. $80

Step-by-step explanation:

A. $70

B. $65

C. $80

D. $75

When he pays $70 monthly

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When he pays $65 monthly

Number of months = $2330 / $65

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When he pays $80 monthly

Number of months = $2330 / $80

= 29.1 months

When he pays $75 monthly

Number of months = $2330 / $75

= 31.1 months

The monthly amounts that will allow Arthur to pay off his balance the fastest is $80 per month

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2 years ago

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valentina_108 [34]

Try 18mm that should be the answer

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2 years ago