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
Korolek [52]
3 years ago
6

Find an equation of the tangent line to the hyperbola: x^2/a^2 - y^2/b^2 = 1 at the point (x0,x1)

Mathematics
1 answer:
musickatia [10]3 years ago
8 0

The standard form of a hyperbola is <span><span><span>x2/</span><span>a2 </span></span>− y<span><span>2/ </span><span>b2 = 1
the tangent line is the first derivative of the function</span></span></span><span>y′ = <span>b^2x/ a^2 y
hence the slope is </span></span><span>m = <span>b^2 x0 / <span>a^2 <span>x1

</span></span></span></span>Therefore the equation of the tangent line isy−x1 = b^2 x0 / a^2 x1* (x−x0)

You might be interested in
Help idk what to do help
s2008m [1.1K]

Step-by-step explanation:

hope it helps you!!!!!!!!

4 0
2 years ago
Help please I just need this
Makovka662 [10]
It’s 10077 because it’s hey
3 0
3 years ago
12(3w+8)=25 what is the w
Mashcka [7]
12(3w+8)=25
36w+96=25 ( I used the distributive property)
          -96 . -96
36w=-71
w=-1.972222.... ( I divided both sides by 36)
 


         

7 0
3 years ago
Please help with problem !!!
True [87]

Answer:

Step-by-step explanation:

y = 2x^2 - 12x +19                Put brackets around the  1st 2 terms. Take 2

y = 2(x^2 - 6x ) + 19             Take 1/2 of the 6 square it and add inside the brackets

y = 2(x^2 - 6 + (6/2)^2) +19 Subtract 2 *9 from the 19. Express 1st 3 terms as ( )^2

y = 2(x- 3)^2 + 19 - 18

y = 2(x - 3)^2 + 1

Answers

y intercept when x = 0 is y = 19

axis of symmetry x = 3

vertex: (3,1)

Graph

graph: red

axis of symmetry: blue

y intercept, vertex: green

7 0
3 years ago
- 3(1 – n) =-6 - 6n<br> Step by step please if possible
harkovskaia [24]
-3 + 3n = -6 - 6n. Expand the brackets
3n + 6n = -6 + 3. Collect like terms
9n = -3
n = -3/9 = -1/3
5 0
2 years ago
Other questions:
  • Solve the proportion: A printer can print 11 color pages in 2 minutes. How many color pages can the printer print in 7 minutes?
    5·1 answer
  • what is the median number of car show this month Frank 25, Sarah 20, randall 15, Brahim 22, Alice 20,
    10·1 answer
  • Robert is driving 240 kilometers to the beach. He leaves his house at 4:00p.m..., and at 7:00p.m he has driven 120km. Keeping th
    12·1 answer
  • I need help on how to find the slope of the first two question
    14·2 answers
  • For question 6 pls help show work step by step
    12·1 answer
  • I need help pls i would really appreciate it !!
    8·2 answers
  • OMG someone pls help!!!
    10·2 answers
  • PLEASE HELP!<br> which expression is equivalent to 4(3+5) - 3.9%?<br> C 1220-54
    14·1 answer
  • I need help please!
    8·1 answer
  • Elise paid 2/3 as much for a sweater as she did for a pair of shoes. How much did elise pay for the sweater if the shoes cost ea
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!