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
NARA [144]
3 years ago
11

Consider the curve x+xy+2y^2=6. the slope of the line tangent to the curve at the point (2,1) is?

Mathematics
2 answers:
oksian1 [2.3K]3 years ago
7 0
<span>The derivative of your function is:  
1 + (1*dy/dx + y) - 4y(dy/dx) = 0
2 + dy/dx + y - 4y(dy/dx) = 0
(2 + y) + dy/dx (1 - 4y) = 0
(dy/dx) = -(2 + y)/(1 - 4y)
 
and at point (2,1),
dy/dx = -(2 + 1)/(1 - 4*1)
          = -3 / -3
          = 1
 
Slope of tangent line = 1</span>
viktelen [127]3 years ago
5 0
The derivative is actually (-y-1)/(4y+x)
then you plug in the points (2,1) ==>
(-1-1)/(4*1+2) which equals -1/3
then you just plug in your info into a point-slope formula and get:
y-1=-1/3(x-2) which can then be reduced
You might be interested in
What is the slope of the line shown below?
erik [133]

Answer:

C) 2

Step-by-step explanation:

7 0
3 years ago
John weighs three times as much as Karen. Two times John's weight plus Karen's weight is 875 pounds. How much does John weigh? H
Leokris [45]

Answer:

John- 375

Karen- 125

Step-by-step explanation:

Answer 1...

j =3k

2j + k = 875

substituting the first eqn into the 2nd

2(3k) + k = 875

6k+ k =875

7k = 875

k =875/7 =125

thus j = 3(125) =375

3 0
3 years ago
Read 2 more answers
Y/3 + 8 = -2 solve for y<br> a. -30<br> b. -18<br> c. 18<br> d. 30
Rainbow [258]

Answer:

\large\boxed{a.\ -30}

Step-by-step explanation:

\dfrac{y}{3}+8=-2\qquad\text{subtract 8 from both sides}\\\\\dfrac{y}{3}+8-8=-2-8\\\\\dfrac{y}{3}=-10\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{y}{3\!\!\!\!\diagup_1}=(3)(-10)\\\\y=-30

5 0
3 years ago
Kevan is 6 years younger than his sister Katie. Melanie is twice as old as kevan. How old are all three siblings?
trapecia [35]
(Kevin) y= k-6 - k minus six

(Melanie) y= 2(k-6) - two times k minus six


K, only got that far... sorry
6 0
3 years ago
To get from the post office to the library, Sindy walked due north and then due east. The distance Sindy walked east is 20 meter
Sidana [21]
Technically, none of the equations.

The equation you're looking for would be:

x²+(x+20)²=150²


7 0
3 years ago
Read 2 more answers
Other questions:
  • If both the x and y values increase on a line graph, the slope is
    10·2 answers
  • Keith plans to buy a car in the future.He currently has $3000 saved up to buy a car. How much money does he need to save per mon
    11·1 answer
  • Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2x h(g(f(x)))
    12·2 answers
  • PLEASE HELP ASAP!!! WILL MARK BRAINLIEST!!!!
    11·1 answer
  • Pam has a yard which has an area of 25. The width of it is 5. Find the length of Pam's yard.
    5·1 answer
  • Solve for x<br>8x²-5 = 11​
    13·1 answer
  • Make b the subject of the formula<br><br>A=1/2bh​
    10·1 answer
  • Help solve this real quick I appreciate it
    9·1 answer
  • Write the inequality that is represented by the number line below use x as your variable
    5·1 answer
  • What is the distance between points (-3 -5) and (-3 -7)?<br> Please help I’m tryna bring up my grade
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!