Please help!

A point moves in the plane of two perpendicular lines so that the product of its distances from the lines always is 12 when the point is 4 units from one of the lines, its distance from that line is decreasing at the rate of 2 units/min. At what rate is the distance from the other line changing at that moment?

I'm not sure how this situation would look so if someone could draw or make a diagram/graph for me (on Desmos or something), I would really appreciate it!

Answers

Answer 1
The rate 1.5 conpared to dignel of subculture of the domiance of the nukber hope it helps
Answer 2

The rate is the distance from the other line changing at that moment will be negative 1.5 units per minute.

What is differentiation?

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decrease.

A point moves in the plane of two opposite lines so the result of its good ways from the lines forever is 12 when the fact of the matter is 4 units from one of the lines, its separation from that line is diminishing at the pace of 2 units/min.

Let the coordinate of the pointe be (x, y). Then the function is given as,

[√(x- 0)²] [√(y - 0)²] = 12

[√x²]  [√y²] = 12

x y = 12

At x = 4, the value of the variable 'y' is given as,

4y = 12

y = 3

Differentiate the function with respect to time, then we have

xy' + yx' = 0

4 × y' + 3 × 2 = 0

y' = - 6 / 4

y' = - 1.5 units per minute

The rate is the distance from the other line changing at that moment will be negative 1.5 units per minute.

More about the differentiation link is given below.

https://brainly.com/question/24062595

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Related Questions

sin0=? cos0=? tan1=?​

Answers

Answer:

See explanations below

Step-by-step explanation:

Sin 0 = x

0 = arcsinx

Since 0 the angle is positive and lies in the 1st and second quadrant, sin 0 = 0 (in the first quadrant)

cos 0 = 1 (by punching the calculator)

tan 1 = 0.0174

All this values can easily be gotten directly from calculators

Show work!

1. James did an experiment. He started out with 640 bacteria cells. He found that the growth rate of the bacteria
cells was 5.3%. Sketch the graph that represents the situation. Label the y-intercept and the point that
represents the projected bacteria population 25 h from the time James started the experiment.






2.The function f(x) = 150(1.3)
t
represents the number of bikes sold at Peer’s Bike store in months. The graph

represents the amount of bikes sold at Cycles R Us bike store in the same time period.

Answers

Answer:

y = 2327.49 ---> 25 hrs

starting plot points (0,640) and ending (25, 2327.49)

Step-by-step explanation:

b = 640

r = 5.3% = 0.053

t = 25

y = 640 ( 1 + 0.053)^25

y = 640 ( 1.053)^25

y = 2327.49 ---> 25 hrs

starting plot points (0,640) and ending (25, 2327.49)

b) The ratio 3:5 can be written in the form 1:n

Answers

You would do 3 divided by 3 and 5 divided by 3 so 1:1.7

Simplifly 25 : 15:30

Answers

Answer:

5:3:6

Step-by-step explanation:

because I took math

PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP! how do I rob a bank

Answers

Answer:

go to nearby bank with your face covered

pick a toy gun ( it must be water gun)

shoot on the bank manager ask for money then ran away

Step-by-step explanation:

just one place where we can do anything and no-one will catch us is our dream our imagination

so rob as you like in whatever way.

All the best :D

What is the slope that passes through the points(-2,4) and (3,8). m=

Answers

Please Mark as brainlist ..........

Maria solved the equation -5n = -9. Her answer was n = 1. She is fairly confident about her answer, but wants to do a quick check of her solution using estimation.

Answers

The solution to an equation is the true value of the equation

So, Maria's solution is incorrect

The equation is given as:

[tex]-5n = -9[/tex]

And the solution is given as:

[tex]n = 1[/tex]

To determine if her solution is correct, then she needs to substitute her solution in the given equation.

In other words, substitute 1 for n in [tex]-5n = -9[/tex]

[tex]-5 \times 1 = -9[/tex]

Multiply -5 and 1

[tex]-5 = -9[/tex]

The above equation is false.

This is so, because -5 does not equal -9

i,e, [tex]-5 \ne -9[/tex]

Hence, Maria's solution is incorrect

Read more about equation solutions at:

https://brainly.com/question/13729904

PLEASE HELP I ONLY HAVE A FEW MINUTES LEFT!

Answers

Answer:

help with what

Step-by-step explanation:

Answer: there is nothing to answer, you need a picture or something with the question on it

Step-by-step explanation:

um some help please? asap

Answers

I think it’s 24 but not 100%

The blue dot is at what value on the number line?

Answers

I need more info to answer
each line has a decrease of 2, we can tell this by the given values of -7 and -3.

the answer would be 1

hope this helped, pls mark brainliest!

please help!
i will give brainilest.

Answers

28% out of 115 = 24.347826086957%

a moose is crossing a highway from marker a to markerb.a triangle connects markers ABC and markers BandC are 38 apart the angles Cand B Measure 70 and 60 respectively what is the distance from point A to pointB traveled by themoose

Answers

Answer:

bence cevap b ben çözdüm çok kolaydı yni burda sormanada gerek yoktu


help me out with this pls (multiple choice) ty

Answers

Answer:

C

Step-by-step explanation:

[tex] \sin(30) = \frac{8}{x} \\ x = \frac{8}{ \sin(30) } = 16 \\ \tan(30) = \frac{8}{y} \\ y = \frac{8}{ \tan(30) } = 13.85 = 8 \sqrt{3} [/tex]

HELPPP IT'S DUE IN 30 MINUTES I"LL MARK YOU THE BRAINLIEST!!!

You are a wedding planner who is filling small pouches with biodegradable confetti for a wedding reception. You want to fill each pouch with of a cup of confetti, and you have a total of 210 fluid ounces of confetti. You need enough pouches for 120 guests.

Which equation can you use to determine whether you have enough pouches for 120 guests?

number of pouches = 210 +
number of pouches = 210 –
number of pouches = 210 × 8 ×
number of pouches = 210 ÷ 8 ×
number of pouches = 210 ÷ 8 ÷

Answers

Answer:

you have 26 cups so i think its the 4th one or the 5th one

Step-by-step explanation:

Hope this helps!

help. pls. i will mark brainliest.

Answers

Answer:

pretty sure its b.

hope this helps!

Answer:

i think its none of the above

Step-by-step explanation:

because it can't be vertical since they need to be on opposite sides

it's not complementary because it doesn't equal to 90

it can't be supplementary because line D is not straight

so that's why i think it's none of the above

You have only $1 bills and $5 bills in your wallet. You have 33 bills worth a total of $93. How many of each type of bill do you have?

Answers

Answer:

you would have 3 1's and 10 9's  so sorry if this is wrong

Don José tiene un terreno de forma cuadrangular el cual mide 1369 metros cuadrados de área si desea colocarle un contorno con un lazo a todo el terreno que medida tendrá que tener el lazo

Answers

Answer:

1370 metros creo no se tal ves

PLEASE HURRY IM BEING TIMED!! WILL GIVE BRAINLIEST FOR THE FIRST PERSON TO ANSWER!!!!

Which is an irrational number between -9 and -10?

Answers

Answer:

B.

Step-by-step explanation:

Irrational means it can't be written as a fraction.

expand and simplify 3(x+2) +2 ( x+5)

Answers

Answer:

[tex]3x + 6 + 2x + 10 \\ = 3x + 2x + 10 + 6 \\ = 6x + 16[/tex]

your answer dude mark me as brainelist give me thanks

Answer:

5x + 16

Step-by-step explanation:

3(x+2) +2 ( x+5)

divide the expression into 2 separate ones:

3(x + 2) and 2(x + 5 )

Now for  3( x + 2 ) Multiply 3 with x and 3 with 2. This gives:

3x + 6

Now for 2( x + 5 ) Multiply 2 with x and 2 with 5. This gives:

2x + 10

Now since there is a '+' sign between  3( x + 2 ) and 2( x + 5 ), the expression will be:

3x + 6 + 2x + 10

You can simplify the like terms together:

3x + 2x + 10 + 6

= 5x + 16

help:(!!.!.!.!.!.!!.!.

Answers

Answer:

Step-by-step explanation:

10(5)=50

Answer:

50

Step-by-step explanation:

A=bh

50 = 10 x 5

Which is a factor of x^2+ x - 12?

Answers

Answer:

(x+4) and (x-3)

Step-by-step explanation:

Find two numbers that add to be the second term and multiply to be the third In this case, those two numbers are 4 and -3

What two numbers when multiplied yield -12 but when added produce the coefficient of the middle term x?

How about 4 times -3?

Look: 4(-3) = -12, but when added give you 1.

(x - 3) (x + 4)

Done!

The area of a triangular-shaped rug is 21 square yards and the height is 3 yards. Find the base.

Answers

Answer:

14 yards

Step-by-step explanation:

the area of a triangle is 0.5×b×h

so

plug in what you have

0.5×b×3=21

(3x0.5)b=21

1.5b=21

b=21/1.5

b=14

:

Two boats are traveling toward a lighthouse that is 200 feet (ft) above sea level at its top. When the two boats and the lighthouse are collinear, the boats are exactly 250 feet apart and the boat closest to the lighthouse has an angle of elevation to the top of the lighthouse of 15°, as shown.






What is the value of x, rounded to the nearest hundredth?

Answers

Answer:

Which Number Is x, You Didnt Specify

a) converts into minutes 4 hours 30 minutes​

Answers

Answer:

270 Minutes

Step-by-step explanation:

4hours = 240 Minutes

+30 minutes = 270 Minutes

Answer would be 270:) hope it helped

HELP!!
Can someone please help me on these two questions ?

Answers

What two questions? Is there supposed to be a photo?
Where is the question

Carla invests $500 in an account that earns 4% annual interest. In approximately how many years will she have doubled her investment?

A 14

OB. 18

OC 21

OD 24

Answers

Interest is the amount of money added on an amount invested. He have doubled her investment after 18 years

Compound interest

The formula for calculating the compound interest is expressed as

A = P(1+r)^t

Given the following parameters

P = $500

r = 4%= 0.04

A= $1000  (doubled)

Substitute

1000 = 500(1+0.04)^t

2 = 1.04^t

t = ln2/ln1.04

t= 17.67 = 18years

Hence he have doubled her investment after 18 years

Learn more on compound interest here: https://brainly.com/question/24924853

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Which scenario is best represented by a linear function?
A
The area of a square, A, where the length of each side of the square is represented by
S (A= s?)
The perimeter of a square, P, where the length of each side of the square is
B represented by s
(P = 4s)
The surface area of a cube, A, where the length of each side of the cube is
C represented by s
(A = 6s )
The volume of a cube, V, where the length of each side of the cube is represented by
s(V = $)​

Answers

Answer:

P=6s

Step-by-step explanation:

to understand thisyou need to know about:linear functiontips and formulas:a linear function is function with two variables one dependent another one is independentlet's solve:

since we can see what linear function is

the second condition is the best fit

The perimeter of a square, P, where the length of each side of the square is B represented by s(P = 4s)

therefore

our answer is b

Find (fxg)(a)?thanks !!

Answers

Answer:

12a^2+13a+3

explanation:

multiply:

(3a+1)(4a+3)=(fxg)

12a^2+13a+3

PLEASE HELP ME ASAP! I'll mark brainliest if you're correct!

Answers

Answer:

Step-by-step explanation:

415 [tex]in^{3}[/tex]

Answer:

415 in^3

Step-by-step explanation:

what is 100÷21?
56×32=
76+77

Answers

Answer:

100 ÷21 = 4.76 or 5

56 × 32 =1732

76+77= 153

Step-by-step explanation:

Hope it help

Mark me as brainliest

Other Questions
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