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rewona [7]
2 years ago
12

If 32^2c=8^c what is the value of c? 1 2 3 5

Mathematics
1 answer:
Elina [12.6K]2 years ago
7 0

Answer:

  • as written, c ≈ 0.000979 or c = 4
  • alternate interpretation: c = 0

Step-by-step explanation:

<em>As written</em>, you have an equation that cannot be solved algebraically.

  (32^2)c = 8^c

  1024c = 8^c

  1024c -8^c = 0 . . . . . . rewrite as an expression compared to zero

A graphical solution shows two values for c: {0.000978551672551, 4}. We presume you're interested in c = 4.

___

If you mean ...

  32^(2c) = 8^c

  (2^5)^(2c) = (2^3)^c . . . . rewriting as powers of 2

  2^(10c) = 2^(3c) . . . . . . . simplify

  10c = 3c . . . . . . . . . . . . . .log base 2

  7c = 0 . . . . . . . . . . . . . . . subtract 3c

  c = 0 . . . . . . . . . . . . . . . . divide by 7

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3 0
2 years ago
Twice the difference of a number and 8 is 6<br><br> Write an equation using variable w
Sauron [17]

Answer:

8w-2=6

Step-by-step explanation:

7 0
3 years ago
Select the equation that contains the point (4, -8), and in which the graph of the line has a positive slope.
BaLLatris [955]
Okay, let me just make this a little clearer. Hopefully, this is what you meant:

A. y - 8 = -4(x + 4)
B. y - 8 = 4(x + 4)
C. y + 8 = 4(x - 4)
D. y + 8 = -4(x - 4)

--

This can also be written as y2 - y1 = m(x2 - x1).

Your M is your slope. 

Both A and D have their m as a negative 4. Because you are looking for a positive slope, immediately cancel those answers.

* note that you could have also put them in a more standard form and discovered m which is the x in bx. 

Now, you are looking for an equation that contains (4,-8).

Because it is written as y2-y1, your y's are actually points if you were to find another slope or something. This part is a bit hard to explain, but -8 is only found in the y coordinate place in answer B. Your answer would be B. For more explanation on that, there's this great site called coolmath.com and if you search for finding the equation of two points, it explains it much better on there, but I would not want to plagiarize. 

The answer is B.


5 0
2 years ago
The equation of the line that contains diagonal HM is y = 2/3 x + 7.
nirvana33 [79]

Answer:

The slope of the line that contains diagonal OE will be = -3/2

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

Where m is the slope and b is the y-intercept

Given the equation of the line that contains diagonal HM is y = 2/3 x + 7

y = 2/3 x + 7

comparing the equation with the slope-intercept form of the line equation

y = mx+b

Thus, slope = m = 2/3

  • We know that the diagonals are perpendicular bisectors of each other.

As we have to determine the slope of the line that contains diagonal OE.

As the slope of the line that contains diagonal HM = 2/3

We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line that contains diagonal

OE will be = -1/m = -1/(2/3) = -3/2

Hence, the slope of the line that contains diagonal OE will be = -3/2

3 0
2 years ago
Krakoziab. ok.
jasenka [17]
Sis what does that even mean
8 0
2 years ago
Read 2 more answers
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