Mathematics High School

if dy/dx = x(y-1), find the equation of the tangent line at x=-2 with f(-2)=3

Answers

Answer 1

Answer:

The equation of the tangent line passing through the point (-2,3) is

 4 x + y +5 =0

Step-by-step explanation:

Step(i):-

Given that the slope of the tangent

             [tex]m = \frac{dy}{dx} = x(y-1)[/tex]

             m = -2( 3-1) = -4

Given point x = -2

         y = f(-2) =3

∴The given point ( x₁ , y₁) = ( -2 ,3)

Step(ii):-

The equation of the tangent line passing through the point (-2,3)

[tex]y - y_{1} = m(x-x_{1} )[/tex]

[tex]y -3 = -4(x-(-2))[/tex]

y -3 = -4( x+2)

y-3 = -4x -8

4x + y -3+8=0

4x +y +5=0

Step(iii):-

The equation of the tangent line passing through the point (-2,3) is

  4 x + y +5 =0

Related Questions

Please help I can’t figure this one out

Answers

70


this is because the bottom line has to equal 180, the angles given, 50 and 60, add up to 110, meaning the missing angle is 70 hope this helps :)

Answer:

30

Step-by-step explanation:

Add all the measures 50+35+85+65+60= 210

subtract 180 from 210 and you get

210-180 = 30

we use 180 because  Example: Angles on one side of a straight line always add to 180 degrees. 30° + 150° = 180° When a line is split into 2 and we know one angle, we can always find the other one.

Kennedy and Amaya want to make a scale drawing of Central Park. They want to use the scale of 1in : 1ft. Can you change that scale to a scale WITHOUT UNITS?

Answers

The scale can be used in meters instead

all you need is in the photo

please don't do step by step please put only the answer


cybernetic​

Answers

The answer is the last one f(x)=50(2)^x

Is 40 divided by the square root of 4 a rational number?

Answers

Answer:

No

Step-by-step explanation:

Hope this helps and have a great day.

Village lanes bowling alley charges $2.00 just to rent a pair of shoes and $3.50 for each game bowled. If you spend a total of $16, then how many games were bowled?

Answers

16=3.5x+2
-2 -2
14=3.5x
/3.5 /3.5
4=x
4 games

please help me out with this question with explanation

convert it and find its speed​


in m/s

Answers

Answer:

car covers distance of 450 km in 4hr and 30min

4hr and 30 min - (4*60)+ 30 equal to 270

distance covered by car in one minute equal to 450/270 equal to 1.6 km

speed of car equal to (1.6*60)/60 equal to 1.6 km /hr

If a transformation causes the angle measures of a figure to change are the figures similar? Why or why not
No, similar figures need to have corresponding sides proportional and corresponding angles congruent.

No, similar figures must have corresponding angles congruent.

Yes, the figures are similar as long as the corresponding angles are proportional.

Yes, the figures are similar as long as the corresponding sides are still proportional.

Answers

Answer:

No, similar figures need to have corresponding sides proportional and corresponding angles congruent.

Step-by-step explanation:

100,85,70,_,40


What is the number pattern?

Answers

Answer:

55

Step-by-step explanation:

its subtracting 15 each time

Answer:

55 and the pattern is 15... i think

Step-by-step explanation:

I will mark as brainliest if answer

Answers

Answer:

D

I believe the second one is none of the above

Step-by-step explanation:

61-27

Answer:

34 degrees.

Step-by-step explanation:

m<AOC - m<BOC = <AOB = 61 - 27 = 34

for the second one i think it's none.

At a real estate agency, an agent sold a house for $339,000. The commission rate is 6.5% for the
real estate agency and the commission rate for the agent is 25% of the amount the real estate
agency gets. How much did the agency make on the house? How much did the agent earn in
commission?
The agency made on the house,

Answers

67nndndnntbtbjdjdjdj

factoring is the opposite of what operation

Answers

Answer:

Factoring is the opposite of multiplying (or using the distributive property to multiply.)

Step-by-step explanation:

how to solve 2x²+3x-3=2x​

Answers

The answer would be x = -3/2 and x = 1

Answer:

x=1 or x=-2/3

Step-by-step explanation:

Solve for x:
- 3x – 9= - 1

Answers

X = -8/3




Djchbcdsndosndh

Answer:

- 8 / 3

Step-by-step explanation:

-3x= - 1 + 9

-3x = 8

x= - 8/3

Here is a sequence of numbers:
1
3
6
10
15
What is the name given to these numbers?

Answers

Triangular number sequnce

Whats the slope of the table help pls

Answers

I have the same problem so if someone answers you pls tell me :)

Answer: y=4x+8

Step-by-step explanation:

please like mark me brainlest

HELP I NEED HELP ASAP

Answers

I think it’s C, because for one ticket 15(1)+2 = 17
No it’s not c I took the test it’s b

4. What does a purchasing power calculator compare?

A. The relative value of a past amount of dollars to a present amount.

B. Nickels and dimes.


C. How many stores you can buy goods from.

D. Checking and savings accounts.

Answers

Answer: A

Step-by-step explanation: A power calculator helps show how much the currency has changed therefore showing the past amount to the present amount

Brad has a garden with dimensions 12 feet long x 7 feet wide. He wants to enlarge the garden to an area of 119 square feet. How much farther will he need to extend the length of the garden to attain his desired

Answers

Answer:

the length will need to be increased by 5 feet

He will need to 5 feet extend the length of the garden to attain his desired.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Brad has a garden with dimensions 12 feet long x 7 feet wide.

And, He wants to enlarge the garden to an area of 119 square feet.

Now,

Let the number of additional feet added to the length = x

So, We can formulate;

⇒ 7 (12 + x) = 119

⇒ 84 + 7x = 119

⇒ 7x = 119 - 84

⇒ 7x = 35

⇒ x = 5

Thus, He will need to 5 feet extend the length of the garden to attain his desired.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

WILL MARK BRAINLIEST!! Which of the following scale drawings is a reduction of the original object? Original object:

FIRST ONE IS THE OG OBJECT!!! The rest is just the answers.

Answers

Answer:

40 feet 20 feet

Step-by-step explanation:

sorry I know this was already answer but need the points- But the first one the other person put was right :D

Answer:

I got 240 inches and 120 inches hopefully that's correct we go to the same school btw!!

Step-by-step explanation:

What is the value of f if 9f+11=3f+23

Answers

Answer:

The value of the problem is 2

Step-by-step explanation:

Erin rolled a number cube with sides labeled 1 through 6. She rolled the number cube 400 times and recorded each result. About how many times could Erin expect to roll a 4?​

Answers

Answer:

about 67 times

Step-by-step explanation:

hope this helps :)

what is
g(x)= 7/8(7) - 1/2

Answers

Answer: g=3/56

Hope this helps you

Will give 50 points and brainliest if answer this question, due in 20 minutes.

The cylinder shown here has a height of 7 centimeters and a radius of 4 centimeters.
Part A. What is the area of the base of the cylinder? Express your answer in terms of π. options are: 15 pi cm, 14 pi cm, 16 pi cm, 17 pi cm.

Part B: How many cubic centimeters of fluid can fill this cylinder? Express your answer in terms of π. options are: 112 pi cm, 110 pi cm, 113 pi cm, 107 pi cm.

Part C: Give a decimal approximation of your answer to the second question using 3.14 to approximate π. options are: 351.68 cm, 368.15 cm, 386.51 cm, 315.68 cm.

Answers

Answer:  A.) The area of the base is 16 pi cm²,

B.) The number of cubic centimeters is 112 pi cm³

C.)  The volume is  351.68 cm³

Step-by-step explanation:

Area is πr², 4 squared is 16.

V = bh

Multiply the area of the base by the height

16π × 7 = 112pi

Answer correctly
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0+0

Answers

Answer:

=0

Step-by-step explanation:

0+0=0

it can't be 2 zeroes, just 0

Answer:

0+0=0

Step-by-step explanation:

my albert einstein maths =0+0=15

The Sales in thousands of a new type of product, headphones that block out annoying people, are given by S(t)= 230-60e^-0.1t, where t represents time on months.

A. Find the sales at the time when t=4 months.
B. AFter how many months will sales be equal to $220,000.

Answers

Answer:

A) 15.33

B) 843333.33

Step-by-step explanation:

Find the value of x in the diagram below.
A. -8
B. 8
C. 98
D. 172

Answers

x+143=135
x=-8
so it’s a

Solve for x
-2x + 4 = 6x - 12

Answers

Answer:

x=2

Step-by-step explanation:

-2x+4=6x-12  Add 2x to both sides.

+2x    +2x

4=8x-12         Add 12 to both sides.

+12  +12

16=8x            Divide by 8 on both sides.

/8 /8

2=x

Hope this helps you out and have a great day (～^▽^)～

Answer:

x=2

Step-by-step explanation:

-2x + 4 = 6x - 12

First add 2x to each side: 4=6x−12+2x

Now simplify 6x-12+2x: 4=8x-12

add 12 to both sides: 4+12=8x

Simplify 4+12: 16=8x

Divide both sides by 8: 16/8

you end up with x=2

Hope this helps :)

What is the solution to 8x - 3(2x - 4) = 3(x - 6)?
A.30
B.2
C.6
D.No solution

Answers

Answer: A.30

Step-by-step explanation:

Let's solve your equation step-by-step.

8x−3(2x−4)=3(x−6)

Step 1: Simplify both sides of the equation.

8x−3(2x−4)=3(x−6)

8x+(−3)(2x)+(−3)(−4)=(3)(x)+(3)(−6)(Distribute)

8x+−6x+12=3x+−18

(8x+−6x)+(12)=3x−18(Combine Like Terms)

2x+12=3x−18

2x+12=3x−18

Step 2: Subtract 3x from both sides.

2x+12−3x=3x−18−3x

−x+12=−18

Step 3: Subtract 12 from both sides.

−x+12−12=−18−12

−x=−30

Step 4: Divide both sides by -1.

−x/-1 = -30/-1

x=30

Ava has a collection of 200 coins. How many coins represent 5% of her collection?
Please help me out

Answers

Answer:

[tex]10 coins[/tex]

Step-by-step explanation:

[tex]5\%[/tex] is equal to [tex]0.05[/tex] which is just [tex]5 per 100[/tex]. In the number [tex]200[/tex], there are 2 hundreds, so the answer would be 10 (coins that represent [tex]5\%[/tex] of her collection. You could also do [tex]0.05×200=10[/tex].

O(-
Determine if (-2, -1) is a Solution or
Not a Solution to the linear system.
y = 3x + 5
x + y = -3
Please answer!!!

Answers

Answer:

It is a Solution

Step-by-step explanation:

y=3(-2)+5         y=-1

(-2)+y=-3          y=-1

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