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
irina [24]
2 years ago
15

It would be really helpful if anyone solved this for me !!!! It's differentiation.

Mathematics
1 answer:
Andrew [12]2 years ago
8 0

Determine point A:

y(x)=\frac{10}{2x+1}-2\\\frac{10}{2x+1}-2=0\implies x=2

so A(2,0)

Find the function for the tangent:

\frac{dy}{dx}=-\frac{-20}{(2x+1)^2}

the tangent function is a line

y=ax + b = \frac{dy}{dx}|_A\cdot x + b\\

(with slope being the derivative evaluated at point A(2,0))

\frac{dy}{dx}|_A=-\frac{4}{5} so a=-4/5.

Determine b by using what we know about A:

y=-\frac{4}{5}x+b\\0=-\frac{4}{5}\cdot 2+b\implies b=\frac{8}{5}

so the function is

y = -\frac{4}{5}x+\frac{8}{5}\\5y + 4x = 8

(i) this is demonstrated above

(ii) distance AC: we know A(2,0) and C(0,5/8), the distance is:

\sqrt{(0-2)^2+(\frac{5}{8}-0)^2}=\sqrt{281}/8\approx 2.1


You might be interested in
Cathy sells an average of 32 pot holders each week.
Art [367]

Answer:

1500 pot holders

Step-by-step explanation:

32×48=1536 so it's about 1500 pot holders because 1536 it's closet to 1500

4 0
2 years ago
Solve x − y = 5 for y.
AnnyKZ [126]

Answer:

-y=5-x

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Solve the absolute value inequality: |8x + 5| > 15. Express using interval notation
kirill [66]

Answer:

8 < 2

Step-by-step explanation:

8x + 5 > 15

8x > 15 - 5

8x > 10

x < 2

cmiiw

5 0
2 years ago
3.5 cm<br> 8.4 cm<br> x cm<br> 5 cm<br> Scale Factor
grigory [225]

Answer:

1.2eStep-by-step explanation:

6 0
2 years ago
Henry bought a basketball that was on sale for $12. It was 40% off. What was the original price of the basketball? Please Help.
kodGreya [7K]

Answer:

The original price of the basketball was $16.80 hope this helps!

5 0
2 years ago
Other questions:
  • A rectangle has an area of k2+19k+60 square inches. If the value of k and the dimensions of the rectangle are all natural number
    13·1 answer
  • How to find the mean?
    8·2 answers
  • Awnser of 7n-2=6n-2n
    6·1 answer
  • What is the formula to find distance in coordinate geometry, given coordinates (x_1, y_1), (x_2, y_2)? (valid variables for this
    13·1 answer
  • Can anyone help me? i dont get it
    14·1 answer
  • I need help with this????
    5·1 answer
  • whenever Sabrina visits the gym she lifts weights for 8 minutes and runs on the treadmill for 35 minutes. write two equivalent e
    6·1 answer
  • To graph the line y = 3/2x + 7 *
    14·1 answer
  • PLS HELP IT’S PAST DUE!
    14·2 answers
  • Writing Linear Equations. <br> help is needed
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!