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lbvjy [14]
4 years ago
10

27 to the power of 3x=81

Mathematics
1 answer:
hoa [83]4 years ago
8 0

Answer:

x=4/9

Step-by-step explanation:

27 ^(3x) = 81

Replace 27 with 3^3    and 81 with 3^4

3^3^(3x) = 3^4

We know that a^b^c = a^(b*c)

3^(9x) = 3^4

Since the bases are the same, the exponents are the same

9x =4

Divide each side by 9

9x/9 = 4/9

x = 4/9

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Rewrite the fraction in simplest form.<br> 24/36
Delicious77 [7]
24:2 = 12, 12:2 = 6, 6:3= 2
36:2 = 18, 18:2 = 9, 9:3= 3
So the answer is 2/3
make sure you divide the top and bottom number with the same number :D
5 0
4 years ago
A house is 25 feet tall and a ladder is set up 35 feet away from the side of the house. approximately how long is the ladder fro
maks197457 [2]
Use Pythagorean Theorem of a^2 + b^2 = c^2 where a and b are the legs of the triangle set up by the house height and the ground, and c is the hypotenuse or how long the ladder is. C is going to be our unknown.
 
Just plugging in you get 25^2 + 35^2 = c^2. Simplify to 625 + 1225 = c^2. Simplify again to 1850 = c^2. The square root both sides to isolate the variable c. C = sqrt(1850) or approximately 43.0116 feet if rounded to 4 decimal places. 

The ladder is approximately 43.0116 feet long. 
4 0
3 years ago
Plzzz help plzzzzzzzzzzzzzz
mezya [45]

Given:

The figure of two quadrilaterals.

In ABCD,AB=18,BC=20,CD=22,AD=24

In EFGH,EF=27,FG=30,GH=34, EH=36

To find:

Whether the figures are congruent, similar or neither.

Solution:

Ratio of corresponding sides are:

\dfrac{AB}{EF}=\dfrac{18}{27}

\dfrac{AB}{EF}=\dfrac{2}{3}

Similarly,

\dfrac{BC}{FG}=\dfrac{20}{30}

\dfrac{BC}{FG}=\dfrac{2}{3}

\dfrac{CD}{GH}=\dfrac{22}{34}

\dfrac{CD}{GH}=\dfrac{11}{17}

And,

\dfrac{AD}{EH}=\dfrac{24}{36}

\dfrac{AD}{EH}=\dfrac{2}{3}

Clearly, \dfrac{AB}{EF}=\dfrac{BC}{FG}=\dfrac{AD}{EH}\neq \dfrac{CD}{GH}.

All corresponding sides are not proportional.

Therefore, the figures are neither similar nor congruent. Hence, third option is correct.

7 0
3 years ago
What is 2/3 - 5/6 divided by 3/4
il63 [147K]
Exact form: -4/9
Decimal form: -0.4
4 0
2 years ago
Can you please solve for b. y=bx-3
jeyben [28]

Answer: b=y+3/x

Step-by-step explanation:

bx-3=y

bx-3+3=y+3

bx=y+3

bx/x=y+3/x

6 0
3 years ago
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