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
mezya [45]
3 years ago
11

The geometric mean of x√ and 4x√ is x−3. Find x.

Mathematics
1 answer:
Svetach [21]3 years ago
5 0

\stackrel{geometric~mean}{\cfrac{\sqrt{x}}{g}=\cfrac{g}{4\sqrt{x}}}\implies 4\sqrt{x}\sqrt{x}=g^2\implies 4x=g^2\implies \sqrt{4x}=g \\\\\\ \stackrel{\textit{since we know that}}{g=x-3}\qquad \implies \sqrt{4x}=x-3\implies 4x=(x-3)^2 \\\\\\ 4x=\stackrel{F~O~I~L}{x^2-6x+9}\implies 0=x^2-10x+9 \\\\\\ 0=(x-9)(x-1) \implies \begin{cases} 0=x-9\\ 9=x\\[-0.5em] \hrulefill\\ 0=x-1\\ 1=x \end{cases}

both values are positive, so both values are valid.

You might be interested in
PLEASE help me ASAP with this QUETION!!!!!!!!!!
Vlada [557]

Answer:help with what

Step-by-step explanation:

You need to say

5 0
3 years ago
Angelina makes 70% of her free throws. What is the probability that she will make the next 2 free throws
ankoles [38]
60% chance of her making the next 2.
6 0
3 years ago
PLEASE HELP!!!! Liner equations & graphs!!! Can someone please help me with this.
Valentin [98]

Answer:

I believe it is B.

Step-by-step explanation:

y=mx+b

y=mx+3

y= -1/2x+3

8 0
3 years ago
Music lessons cost 45 dollars per hour. Evaluate 6 hours
faltersainse [42]

Answer:

If each of your music lessons cost you 45 dollers each hour. If you do 6 hours than your price will be 7.5$ because we did 45 divided by 6

You divide the number of hours which is 6 with the cost per hour which is 45, and you are left of with 7.5$ or what I like to think of it as, 7.50$

Hope this helps

6 0
3 years ago
Read 2 more answers
&lt;4 and 45 are alternate interior<br> angles. Find the measure of 4
xenn [34]

Answer:

115%

Step-by-step explanation:

5 is completely irrelevant, Vertical angles are congruent.

8 0
3 years ago
Other questions:
  • How can the properties of exponents help solve exponential equations?
    12·1 answer
  • Ginger wants to join a gym. She goes to the local gym and is told that there is a one-time fee of $100 to join and then a monthl
    7·2 answers
  • Lauren simplified the expression m^-7 -5 as shown
    11·2 answers
  • Solve the following system of equations by using the elimination method. 4x - y = 8 -8x + 2y = -5
    5·1 answer
  • Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Check all that apply. 2.3p – 10.1 = 6.4p – 4 2.3p – 10
    14·2 answers
  • HELP ME PLZZ
    8·1 answer
  • Which angle is adjacent to _DFE?
    10·2 answers
  • Each of 5 boys randomly chooses a watch from 12 different styles. What is the probability that at least 2 boys choose the same t
    11·1 answer
  • PLZ PLZ PLZZZZZZ HELP ME IMMEDIATLEY
    5·1 answer
  • Describe the difference in the graph of the conjunction “x &gt; 2 and x &lt; 10” and the graph of the disjunction “x &gt; 2 or x
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!