1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ksivusya [100]
3 years ago
8

What is the solution to the equation 9^(x - 2) = 27 ? x = 2.5/ x = 0.5/ x = -0.5 /x = 3.5

Mathematics
2 answers:
LenaWriter [7]3 years ago
8 0

Answer:

x=3.5

Step-by-step explanation:

9^{x - 2} = 27

To solve for x , we need to make same base on both sides

9 can be written as 3^2

27 can be written as 3^3

9^{x - 2} = 27

[tex[](3^2)^{x - 2} = 3^3[/tex]

multiply the inside exponent with inside exponent

3^{2(x-2)}= 3^3

Both sides have same base 3

so we equation the exponents

2(x-2)= 3

2x-4= 3

add 4 on both sides

2x=7

divide by 2 on both sides

x=\frac{7}{2} =3.5

Fittoniya [83]3 years ago
7 0
To solve this question rewrite 27 as 3 to power 3. And 9 as 3 to power 2. Then distribute 2 in 3 to the power of 2 to the expression of (X-2). Cancel out 3 base at the end. Then set the equation 2x-4=3. Solving for X gives me 7/2 or 3.5.
You might be interested in
What value has a z-score of -0.67, if the mean is 18 and the standard deviation is 1.68?
uranmaximum [27]
The data point is 1.6 standard deviations above the mean.
Step-by-step explanation:
Z-score
It is the number of standard deviations from the mean that a data point is. It's a measure of how many standard deviations below or above the population mean a raw score is.
A Z-score is also known as a standard score and it can be placed on a normal distribution curve.
As in this case the Z-score is +1.6, so it means the data point is 1.6 standard deviations above the mean. Hope this helps I am kinda knew to this so I hope I helped you
7 0
3 years ago
Determine the radius of a circle if a 24-inch chord is 9 inches from the center.
bixtya [17]
Hi! :)

The radius of a circle is the length from the perimeter of the circle to the center of the circle. 

If  24 inches is still 9 inches from the center, you just have to add 24 and 9 to get the radius. 

24+9= 33

Your final answer should be that the radius is 33 inches.

Hope this helps!
3 0
3 years ago
• The ratio of cookies to eggs was 9 to
UkoKoshka [18]
I got shot in the Hebrew morning I was going on the same day lol I was going on the balls in
4 0
3 years ago
Term best describes a proof in which you assume the opposite of what you want to prove
aleksley [76]
Indirect proof or contradiction

Are there choices to pick from?
7 0
3 years ago
Read 2 more answers
At 3:00 PM a man 138 cm tall casts a shadow 149 cm long. At the same time, a tall building nearby casts a shadow 163 m long. How
Andre45 [30]

The building is 151 meters tall

<h3>How to determine the height of the building?</h3>

From the question, we have the following parameters about the building and the man

Man's height = 138 cm

Man's shadow = 149 cm

Building's shadow = 163 m

Based on the above parameters, we have the following equivalent ratio:

Ratio = Height : Shadow

So, we have:

Man's height : Man's shadow = Building's height : Building's shadow

Substitute the known values in the above equation

138 cm : 149 cm = Building's height : 163 m

Remove the units

138 : 149 = Building's height : 163

Express as fraction

138 /149 = Building's height/163

Multiply both sides by 163

Building's height = 163 * 138 /149

Evaluate the product

Building's height = 151 m

Hence, the building is 151 meters tall

So, the complete parameters are:

Man's height = 138 cm

Man's shadow = 149 cm

Building's shadow = 163 m

Building's height = 151 m

Read more about similar shapes at:

brainly.com/question/14285697

#SPJ1

7 0
1 year ago
Other questions:
  • How many molecules are in 12.5 moles of calcium phosphate
    13·1 answer
  • Joe has some pocket money. He spends 90% of it. He has 50p left. How much pocket money did he have?
    13·2 answers
  • Irian bought 2 songbooks and a new guitar. Each songbook cost the same price. The guitar cost $250.10. Before tax, she spent a t
    9·1 answer
  • What's a simplified form of x-1+4+7x-3
    11·1 answer
  • Point Z is equidistant from the sides of ΔRST. Point Z is equidistant from the sides of triangle R S T. Lines are drawn from the
    15·2 answers
  • Is Claire has a half a gallon of milk left in the fridge and she wants to drink 10 ounces of milk a day how many days of milk do
    10·1 answer
  • In how many ways can a family of 7 people be seated at a round table if the youngest child must sit between parents?
    7·2 answers
  • Calculating Areas of Multiple Polygons
    12·2 answers
  • I will give BRAINLIEST to the correct answer
    7·1 answer
  • Here is some record-keeping from a coffee shop about their paper cups. Cups are delivered 2,000 at a time. How many paper cups a
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!