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
Darya [45]
3 years ago
9

Use implicit differentiation to find the negative slope of a tangent to the circle x^2+y^2=16 at x=-2

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
3 0

Answer:

slope = - \frac{\sqrt{3} }{3}

Step-by-step explanation:

Differentiating implicitly with respect to x

2x + 2y \frac{dy}{dx} = 0

2y \frac{dy}{dx} = - 2x

\frac{dy}{dx} = - \frac{2x}{2y} = - \frac{x}{y}

\frac{dy}{dx} is the measure of the slope of the tangent

rearrange equation to find corresponding y-coordinate of x = - 2

y² = 16 - 4 = 12 = 2\sqrt{3} ⇒ y = ± 2\sqrt{3}

using x = - 2, y = - 2\sqrt{3}, then

\frac{dy}{dx} = - \frac{1}{\sqrt{3} } = - \frac{\sqrt{3} }{3}


You might be interested in
Algebra 2. Questions
nalin [4]
Maybe the second one or third one
4 0
3 years ago
Read 2 more answers
Jared measured a house and its lot and made a scale drawing. The scale of the drawing was 5 millimeters : 3 meters. The actual l
alukav5142 [94]

Answer:

115mm

Step-by-step explanation:

5/x = 3/69

5/x = 1/23

5*23 = x

115 = x

4 0
2 years ago
Please help!! Math | 25 points :)
arlik [135]

Values of the composite function:

(g\cdot f)(-1)=6

(g\cdot f)(0)=7

(f\cdot g)(-1)=3

(f\cdot g)(4)=2

Step-by-step explanation:

Given two functions f(x) and g(x), their composite function is given by

(f\cdot g)(x) = f(g(x))

Which means using the output value of g(x) as input for f(x).

Let's start by computing

(g\cdot f)(-1)

First, we compute the value of f(-1), which is (from the graph)

f(-1) = 1

Now we use this value as input into g(x); we notice that at x = 1, the value of g(x) is 6, therefore:

(g\cdot f)(-1)=6

Now we evaluate

(g\cdot f)(0)

First, we compute the value of f(0), which is (from the graph)

f(0) = 0

Now we use this value as input into g(x); at x = 0, the value of g(x) is 7, therefore:

(g\cdot f)(0)=7

Now we evaluate

(f\cdot g)(-1)

First, we compute the value of g(-1), which is (from the graph)

g(-1) = 5

Now we use this value as input into f(x); at x = 5, the value of f(x) is 3, therefore:

(f\cdot g)(-1)=3

Finally we evaluate

(f\cdot g)(4)

First, we compute the value of g(4), which is (from the graph)

g(4) = 4

Now we use this value as input into f(x); at x = 4, the value of f(x) is 2, therefore:

(f\cdot g)(4)=2

Learn more about composite functions:

brainly.com/question/2723982

brainly.com/question/2456302

brainly.com/question/1949601

brainly.com/question/1900154

#LearnwithBrainly

6 0
2 years ago
What is the area of parallelogram ABCD?
exis [7]

Answer:

c 15 square units

Step-by-step explanation:

it is very easy

4 0
2 years ago
Solve for x<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4x%20-%206%7D%7B4%7D%20%20%3D%20%20%5Cfrac%7B2x%20%2B%205%7D%7B3%7
Marizza181 [45]

Answer:

x = 9.5

Step-by-step explanation:

Given

\frac{4x-6}{4} = \frac{2x+5}{3} ( cross- multiply )

3(4x - 6) = 4(2x + 5) ← distribute parenthesis on both sides

12x - 18 = 8x + 20 ( subtract 8x from both sides )

4x - 18 = 20 ( add 18 to both sides )

4x = 38 ( divide both sides by 4 )

x = \frac{38}{4} = 9.5

6 0
3 years ago
Other questions:
  • Can someone help me on this plz. Thanks
    10·1 answer
  • Hank scored 10% extra on his 30 point assignment how many extra points did he earn?
    9·1 answer
  • Solve the quadratic equation 30 + x - x2 = 0
    14·1 answer
  • Given the following absolute value function sketch the graph of the function and find the domain and range.
    12·1 answer
  • Can someone help me asap? Ik it’s easy but not good at maths lol
    12·2 answers
  • Two is equal to 4 less than 3 times a certain number. Find the number.
    10·2 answers
  • Find the value of 14x3+12 divide 4
    9·2 answers
  • 4. What is the x-value of
    13·1 answer
  • If a watch costs $40 and you must pay 6.5 % sales tax, how much will the tax be?
    8·1 answer
  • My sister and ate some of a chocolate bar she had 1/4 and I had 5/8 how much of the chocolate bar did we eat
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!