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zimovet [89]
3 years ago
9

1/27^-x=81^2x+2 find x​

Mathematics
1 answer:
Umnica [9.8K]3 years ago
7 0

Answer:

Step-by-step explanation:

81

=

3

4

and

27

=

3

3

, so this equation can also be written as

3

4

x

=

3

3

(

x

+

2

)

=

3

3

x

+

6

.

Since the bases are now the same, we can equate exponents to get

4

x

=

3

x

+

6

so that

x

=

6

(technically this equating of exponents requires the fact that exponential functions (with base not equal to 1) are one-to-one functions).

(do u understand?)

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Stella [2.4K]
Hello :
4√2-7√2= (4-7)√2 = -3√2 
7 0
3 years ago
Pls help!!!!<br> Will mark brainliest
Anni [7]

Answer: D) 3x - 5

Step-by-step explanation:

f(x) - g(x)
f(x) = 1/2x - 3
g(x) = -5/2x + 2

Using the values of f(x) and g(x) gives us the equation:
1/2x - 3 - (-5/2x +2)

By distributing the negative sign, the signs on 5/2 and 2 are flipped, making them positive and negative respectively.

Our new equation is:

1/2x -3 + 5/2x -2
Adding up like numbers gives us:

6/2x - 5

Simplifying 6/2x => 3x

So our final equation is:

3x - 5
Hope this helps!

4 0
2 years ago
A-in the scale of the graph
Ugo [173]
D- along the y- axis
7 0
3 years ago
JUST HELP ME! PLEASE!!..0o0<br><br>Applying the Pythagorean theorem, solve this triangle.​
Inessa [10]
<h3>Answer:    <u>100 ft</u>  is the hypotenuse</h3>

===================================================

Work Shown:

a = 60 and b = 80 are the two known sides

c  is the unknown hypotenuse

Applying the pythagorean theorem gets us...

a^2 + b^2 = c^2

60^2 + 80^2 = c^2

3600 + 6400 = c^2

10,000 = c^2

c^2 = 10,000

c = sqrt(10,000)

c = 100

A quick way to see that 100 ft is the missing side is to note that a 6,8,10 right triangle scales up to 60,80,100 after multiplying all three sides by 10.

Or you could start with a 3,4,5 right triangle and multiply all three sides by 20.

4 0
3 years ago
Read 2 more answers
You are 100m from the base of a tall building. If your feet are exactly 180m from the top of the building, how tall is the build
KatRina [158]

Answer:

the building would be 280 feet (judging on how this is worded.)

Step-by-step explanation:

you are already 100 meters from the base ( bottom) of the building so you add 180 as you are 180 ft from the top of the building. 100 + 180 is equal to 280.

8 0
2 years ago
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