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grin007 [14]
3 years ago
14

Solve: 9^8-x= 27^x-3

Mathematics
1 answer:
liubo4ka [24]3 years ago
8 0

Answer:

x = 4.25

Step-by-step explanation:

First, alter the equation until both exponents have the same base. We know that 9^3 is 27. Therefore, we can change 27^(x-3) into 9^3(x-3).

Now, the equation can be written as 9^(8-x) = 9^(3x-9)

Now that the bases are the same, we can cancel them out and just solve for the exponents. This will look like:

8-x = 3x-9.

8 = 4x - 9

17 = 4x

x = 4.25

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Answer:

Option C

Step-by-step explanation:

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4 0
2 years ago
Find the slope of the line that goes through the points (-11, -19) & (-11, -10)
anyanavicka [17]

Answer:

<h2>The slope is undefined</h2>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are (-11, -19) & (-11, -10)

The slope is

m =  \frac{ - 10 -  - 19}{ - 11 -  - 11}  =  \frac{ - 10 + 19}{ - 11 + 11}  =  -  \frac{9}{0}  \\

Any number divided by zero is undefined so the slope of the line here is undefined.

Hope this helps you

4 0
3 years ago
Indicate a general rule for the nh term of this sequence.<br> 12a, 15a, 18a, 21a, 24a,...
adelina 88 [10]

Answer:

The general rule for the nth term of this sequence will be:

a_n=3na+9a

Step-by-step explanation:

Given the sequence

12a, 15a, 18a, 21a, 24a,...

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

Here,

a₁ = 12a

computing the differences of all the adjacent terms

d = 15a-12a = 3a, d = 18a-15a=3a, d=21a-18a=3a, d=24a-21a=3a

using the nth term formula

a_n=a_1+\left(n-1\right)d

substituting a₁ = 12a, d = 3a

a_n=12a+\left(n-1\right)3a

     =12a+3na-3a

     =3na+9a

Therefore, the general rule for the nth term of this sequence will be:

a_n=3na+9a

6 0
2 years ago
Which fraction is equivalent to -6 -(-9)/8
Marat540 [252]

Answer:

2/8 = 1/4 = 0.25

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Please help Me I really need the help
Nana76 [90]

Answer:

47

Step-by-step explanation:

sinice they are similar they have the same angles so 180-118-15=f

so f=47

3 0
3 years ago
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