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yulyashka [42]
1 year ago
10

What are the potential solutions of log4X+log4(x+6)=2?

Mathematics
2 answers:
aliya0001 [1]1 year ago
8 0

Answer:

Ox=-2 and x=-8

Step-by-step explanation:

Marat540 [252]1 year ago
5 0

Answer:

x = 2 ;   x = -8

Step-by-step explanation:

<h3>Log rule: Log a + log b = log a*b</h3>

 \sf \ log_4 \ x  +log_4 \ (x +6) = 2\\\\     log_4 \ (x)*(x +6) = 2\\\\

    log₄  ( x² + 6x) = 2

                        4² = x² + 6x

         x² + 6x - 16 = 0

   x² - 2x + 8x - 16 = 0  

   x(x - 2) + 8(x - 2) = 0

       (x - 2) (x + 8)   = 0

x - 2 = 0  or x + 8 = 0

    x  = 2  or      x  = - 8

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8 0
3 years ago
△XYZ was reflected over a vertical line, then dilated by a scale factor of , resulting in △X'Y'Z'. Which must be true of the two
Igoryamba

Answer:

correct option is △XYZ ~ △X'Y'Z'.

Step-by-step explanation:

since ΔXYZ is dilated by some scale factor so, the resulting triangle can not be congruent to the ΔXYZ. so option 2 is wrong.

as we have explained that the two triangles are not congruent then it's sides and angles also can't be congruent so, option 3 is also incorrect.

As we don't know by what factor the triangle XYZ is dilated so we can't say anything about correctness of option 4 and 5.

ΔXYZ  was reflected over a vertical line and then dilated so the resulting ΔX'Y'Z' is similar to ΔXYZ.

i.e., △XYZ ~ △X'Y'Z'.

5 0
3 years ago
Read 2 more answers
I need help solving this problem
Bad White [126]
Answer:

5.4

Explanation:

I multiplied 18.6 by the answer choices that should give me 100.44. But the shortcut to this is to divide the area by it’s height.
4 0
2 years ago
PLEASE HELP ME WITH MY ANGLE PAIRS...If you help i will give your 5 stars, a thanks, and a brainliest :)
belka [17]

Answer:

x = 15

Step-by-step explanation:

9x - 5 = 7x + 25 ......(vertical angle and corresponding angle )

9x - 7x = 25 + 5

2x = 30

x = 30 / 2

x = 15

6 0
2 years ago
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. Verify y
mariarad [96]

Answer:

the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis is;

\frac{\pi }{2}  [e^2 - 1 ]  or 10.036

Step-by-step explanation:

Given the data in the question;

y = y = e^{(x - 1 ), y = 0, x = 1, x = 2.

Now, using the integration capabilities of a graphing utility

y = y = e_2}^{(x - 1 )_, y = 0

Volume = \pi \int\limits^2_1 ( e^{x-1)^2} - (0)^2 dx

Volume = \pi \int\limits^2_1 ( e^{x-1)^2  dx

Volume = \pi \int\limits^2_1 e^{2x-2}dx

Volume = \frac{\pi }{e^2} \int\limits^2_1 e^{2x}dx

Volume = \frac{\pi }{e^2}  [\frac{e^{2x}}{2}]^2_1

Volume = \frac{\pi }{2e^2}  [e^4 - e^2 ]  

Volume = \frac{\pi }{2}  [e^2 - 1 ]  or 10.036

Therefore, the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis is;

\frac{\pi }{2}  [e^2 - 1 ]  or 10.036

   

3 0
3 years ago
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