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
antoniya [11.8K]
2 years ago
6

6. What is the length of BC?

Mathematics
1 answer:
denis23 [38]2 years ago
6 0
The length of BC is 9
You might be interested in
Remember to show work and explain. Use the math font.
MrMuchimi

Answer:

\large\boxed{1.\ f^{-1}(x)=4\log(x\sqrt[4]2)}\\\\\boxed{2.\ f^{-1}(x)=\log(x^5+5)}\\\\\boxed{3.\ f^{-1}(x)=\sqrt{4^{x-1}}}

Step-by-step explanation:

\log_ab=c\iff a^c=b\\\\n\log_ab=\log_ab^n\\\\a^{\log_ab}=b\\\\\log_aa^n=n\\\\\log_{10}a=\log a\\=============================

1.\\y=\left(\dfrac{5^x}{2}\right)^\frac{1}{4}\\\\\text{Exchange x and y. Solve for y:}\\\\\left(\dfrac{5^y}{2}\right)^\frac{1}{4}=x\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\\dfrac{(5^y)^\frac{1}{4}}{2^\frac{1}{4}}=x\qquad\text{multiply both sides by }\ 2^\frac{1}{4}\\\\\left(5^y\right)^\frac{1}{4}=2^\frac{1}{4}x\qquad\text{use}\ (a^n)^m=a^{nm}\\\\5^{\frac{1}{4}y}=2^\frac{1}{4}x\qquad\log_5\ \text{of both sides}

\log_55^{\frac{1}{4}y}=\log_5\left(2^\frac{1}{4}x\right)\qquad\text{use}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\\dfrac{1}{4}y=\log(x\sqrt[4]2)\qquad\text{multiply both sides by 4}\\\\y=4\log(x\sqrt[4]2)

--------------------------\\2.\\y=(10^x-5)^\frac{1}{5}\\\\\text{Exchange x and y. Solve for y:}\\\\(10^y-5)^\frac{1}{5}=x\qquad\text{5 power of both sides}\\\\\bigg[(10^y-5)^\frac{1}{5}\bigg]^5=x^5\qquad\text{use}\ (a^n)^m=a^{nm}\\\\(10^y-5)^{\frac{1}{5}\cdot5}=x^5\\\\10^y-5=x^5\qquad\text{add 5 to both sides}\\\\10^y=x^5+5\qquad\log\ \text{of both sides}\\\\\log10^y=\log(x^5+5)\Rightarrow y=\log(x^5+5)

--------------------------\\3.\\y=\log_4(4x^2)\\\\\text{Exchange x and y. Solve for y:}\\\\\log_4(4y^2)=x\Rightarrow4^{\log_4(4y^2)}=4^x\\\\4y^2=4^x\qquad\text{divide both sides by 4}\\\\y^2=\dfrac{4^x}{4}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\y^2=4^{x-1}\Rightarrow y=\sqrt{4^{x-1}}

6 0
3 years ago
Can I get some help? Thanks!
vivado [14]

Answer:

C: y=11x

Step-by-step explanation:

11x2=22

11x3=33

11x4=44

So on and so forth.

4 0
3 years ago
Read 2 more answers
Brian wants to buy a motorcycle and is planning to get motorcycle insurance. Suppose the average accident rate is 0.1, and the a
TEA [102]
It's $94,000
 
1,000 X 100 X 4 = 400,000

6 0
3 years ago
Read 2 more answers
F (x) = 3x^2 - 10x + 4
andrezito [222]

Answer: (5/3, -13/3)

Step-by-step explanation:

3 0
3 years ago
The length of a picture frame is 2 inches more than the width. The perimeter of the frame is 36 inches. What is the length of th
sveta [45]
Let the width be x
∴the length =x+2
perimeter=2(l+b)
36=2(x+2+x)
36=2(2x+2)
=4x+4
4x=32 x=8
∴∴the length =x+2 = 8+2
 =10
3 0
3 years ago
Other questions:
  • A circle has a diameter of 28 ft. What is the circumference?
    13·1 answer
  • Which formula can be used to find the ninth term of a geometric sequence where the first term is 8 and the common ratio is -3
    8·1 answer
  • three friends go to a local farmers market latasha spends $3:35helen spends4times as much as latasha Dee spends $7:50 more than
    8·2 answers
  • What is the value of d to the nearest tenth
    5·1 answer
  • What could explain what happened when the time was equal to 120 minutes
    11·1 answer
  • -48=-8x+8 solve the equation
    8·2 answers
  • Use separation of variables to solve dy dx − tan x = y2 tan x with y(0) = √3. Find the value of c in radians, not degrees
    14·1 answer
  • Can someone help me? It's urgent and thank you!
    8·1 answer
  • 7. You toss two dimes 24 times and record the results. The table shows the frequency and the experimental probability of each ou
    7·1 answer
  • Given the frequency table what percentage of the students in grade 11-12 like rock music round to the nearest whole percent
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!