Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12

Answers

Answer 1

Answer:

y = (-1/3)x + 5

Explanation:

the gradient of required equation (m2)

the gradient of given equation (m1) = 3

m1*m2 = -1 ( they are perpendicular)

3*m2 = -1

m2 = -1/3

required equation

y = m2 + c

( 9,2) satisfy the above equation

2 = (-1/3)*9 + c

c = 5

y = (-1/3)x + 5


Related Questions


An object accelerates 12.0 m/s² when a force of 6.0 newtons is applied to it.
What is the mass of the object

Answers

Answer:

0.5 kg

Explanation:

The mass of the object can be found by using the formula

[tex]m = \frac{f}{a} \\ [/tex]

f is the force

a is the acceleration

From the question we have

[tex]m = \frac{6}{12} = \frac{1}{2} \\ [/tex]

We have the final answer as

0.5 kg

Hope this helps you

m = f/a

6 / 12 = 0.5

answer - 0.5

What is the equivalent resistance of the circuit?

Answers

Resistors & Notations In Series In Parallel

A, B A + B A | B

A, B, C, D A+B+C+D A | B | C | D

In Combination Example A | B | ( C + D ) A | B | ( C + D )

Dec 1 2020

9.Two people are pushing a broken down car. One pushes 2 m/s east, the other a
1.5 m/s east. Do they have the same or different velocity? why

Answers

Answer:

No, they don't have the same velocity

Explanation:

Given that one person pushes the car 2 m/s east, and the other pushes the car 1.5 m/s east.

As velocity is a vector quantity, so, to have equal velocity, both magnitude as well as the direction must be equal.

For the first person:

Magnitute of the velocity = 2 m/s.

The direction of the velocity: Towards east.

For the second person:

Magnitute of the velocity = 1.5 m/s.

The direction of the velocity: Towards east.

As both the person have the same direction but the different magnitude of the velocity, so, they don't have the same velocity.

A 6.0 kg object is pushed with a force of 12 N. If the mass of the object is cut in half to 3.0 kg, what happens to the acceleration if the force remains constant?

Answers

Answer:

aceleration doubles

Explanation:

From Newton's secon law, one has

F=m*a

where F is the force, m the mass and a the aceleration.

In general, if m becomes m/2, in order to have the same force,

the acceleration must be doubled:

[tex]F=m*a=\frac{m}{2} (2*a)[/tex]

In our particular case,

[tex]12=6*a=\frac{6}{2} (2*a)\\12=3(2*a)[/tex]

HELP!!
You walk 130 m E and then turn and walk another 43m [E 28 degree S] what is the total displacement?

Answers

Answer:

Total displacement 155 m

Explanation:

From the question, the formula to apply will be that of cosine rule where:

[tex]c=\sqrt{a^2+b^2-2ab*cosC}[/tex]

where

a= 43 m , b=130m and c =? , <C=28° + 90° =118°

Substituting values in the equation as;

[tex]c=\sqrt{43^2+130^2-2*43*130*cos118}[/tex]

[tex]c=\sqrt{1849+16900-11180*-0.46947} \\\\c=\sqrt{1849+16900+5249} \\\\c=\sqrt{23998} \\\\\\c=155m[/tex]

calculate the depth of ocean if ultrasonic pulses produced are received after 9 seconds. ( speed of sound in water = 1498m/s )​

Answers

Answer:

13482m÷2

Explanation:

1498m÷s×9=13482m÷s

The depth of the ocean if the ultrasonic pulses produced are received after 9 seconds will be equal to, 6741 m.

What is Sound?

Sound is a mechanical disruption from an equilibrium position that travels through an elastic medium of material.

It is also possible to define sound solely subjectively, as that which is regarded by the ear, but this definition lacks clarity and is overly constrictive because it is useful to talk about sounds that are manufactured by devices other than the human ear, such as dog whistles and sonar machinery, which cannot do hear by human ear.

The features of sound waves must be examined first in any study of sound. Transverse and longitudinal waves are indeed the two fundamental forms of waves, and they vary by the direction in which they move.

As per the given information in the question,

Let the depth is d.

Total distance the pulse has to travel = 2d

Time taken, t = 9 sec

Speed of sound, V = 1498 m/s

Velocity =  Distance/time taken

V = 2d/9

d = 1498 × 4.5

d = 6741 m.

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Answer and I will give brainiest!!!! How much force is needed to accelerate an object of mass 90 kg at a rate of 1.2 m/s2? 0.013 N 75 N 108 N 1080 N

Answers

Answer: the answer is 108 N

Just took the test and got 108 N correct

A sound signal traveling underwater has a frequency of 230 hertz. The speed of sound underwater is 1.45 × 103 meters/second. What is the wavelength of the sound signal?

Answers

Wavelength  =  (wave speed)  /  (frequency)

                     =      (1,450 m/s)  /  (230 / sec)

                    =              6.30 meters        (rounded)

Hope this helped friend! :)

Answer the wave length is 263

Explanation

An automobile rounds a curve of radius 50.0 m on a flat road.
The centripetal acceleration to keep the car on the curve is
3.92 m/s2. What is the speed necessary to keep the car on the
curve?

Answers

Answer:

14m/s

Explanation:

Given parameters:

Radius of the curve  = 50m

Centripetal acceleration  = 3.92m/s²

Unknown:

Speed needed to keep the car on the curve = ?

Solution:

The centripetal acceleration is the inwardly directly acceleration needed to keep a body along a curved path.

 It is given as;

      a = [tex]\frac{v^{2} }{r}[/tex]  

a is the centripetal acceleration

v is the speed

r is the radius

  Now insert the parameters and find v;

         v²   = ar

        v² = 3.92 x 50  = 196

         v  = √196 = 14m/s

The speed that is necessary for keeping the car on the curve is 14 m/s.

Given that,

An automobile rounds a curve of radius 50.0 m on a flat road. The centripetal acceleration to keep the car on the curve is  3.92 m/s^2.

Based on the above information, the calculation is as follows:

We know that

[tex]a = v^2 \div r[/tex]

Here a denotes the centripetal acceleration.

v denotes the speed.

And, r denotes the radius.

So,

[tex]v^2 = ar\\\\= \sqrt(3.92 \times 50)\\\\= \sqrt{196}[/tex]

= 14 m/s

Therefore we can conclude that the speed that is necessary for keeping the car on the curve is 14 m/s.

Learn more: brainly.com/question/22610586

Given a force of 100 N and an acceleration of 5 m/s2, what is the mass

Answers

Answer:

20 kg

Explanation:

Mass equals force divided by acceleration, so divide 100 N by 5 m/s2 and you get your mass: 20 kg

Answer: m= 20 kg

Explanation: Use the formula

F = m a

to solve this.

100 N = m (5 m/s²)

100 N / (5 m/s²) = m

20 kg = m

(N is also kgm/s², so when you divide by m/s², you are left with kg.)

An object is moving across a surface, but it does not gain or lose speed. Which best describes the object’s force?

The net force is positive.
The net force is zero.
The positive force is greater than the negative force.
The negative force is greater than the positive force.

Answers

Answer:

An object is moving across a surface, but it does not gain or lose speed, the object's net force is zero.

Explanation: The net force means the vector sum of all the forces acting on an object

Answer:

well its not C

Explanation:

A car travels at 10 m/s for 10 seconds. What distance does the car travel in this time?

Answers

Answer:

100 m

Explanation:

if the car travels at 10 m/s for 10 seconds it would travel 100 m during that time.

10*10 = 100

first answer will be made brainliest

Using the graph from part (c) calculate the spring constant of the spring that the student
used.
Give your answer in newtons per metre


the image shows the information that was on the graph

Answers

Answer:

1.75 is the unit rate so yeah

What is the difference in KE between a 52.5 kg person running 3.50 m/s and a 0.0200 kg bullet flying 450 m/s?
(Unit = J)

Answers

Answer:

Ek = 1705.28 [J]

Explanation:

In order to solve this problem, we must remember that kinetic energy can be calculated by means of the following equation.

[tex]E_{k}=\frac{1}{2} *m*v^{2}[/tex]

where:

m = mass [kg]

v = velocity [m/s]

Ek = kinetic energy [J] (Units of Joules)

For the person running

[tex]E_{k} =\frac{1}{2}*52.2*(3.5)^{2} \\ E_{k} =319.72[J][/tex]

For the bullet

[tex]E_{k} =\frac{1}{2} *m*v^{2}[/tex]

[tex]E_{k} =\frac{1}{2} *0.02*(450)^{2} \\E_{k}=2025 [J][/tex]

The difference in Kinetic energy is equal to:

Ek = 2025 - 319.72

Ek = 1705.28 [J]

Answer: 1703.44

Explanation: trust

Mushroom rocks are:
Group of answer choices

A formed by grains of sand blown across the rocks' surfaces.

B rocks with many mushrooms growing around them.

C formed by wind and water erosion.

D All of the above.

Answers

I believe the answer is C, and not D because B is incorrect. The water and wind erosion smoothen the rock creating a mushroom shape.

Technology has increased the success of the medical field. Which examples of technology have had a great impact on the medical field?

Answers

Answer:

what do you need helo with

what type of nuclear energy is used for a nuclear reactor power plant

Answers

Answer:

Nuclear fission creates heat!!

Explanation:

Reactors use uranium for nuclear fuel. The uranium is processed into small ceramic pellets and stacked together into sealed metal tubes called fuel rods. Typically more than 200 of these rods are bundled together to form a fuel assembly!

P.S. You can search this up!

- Hope this helped you!! :D

What is the kinetic energy of a 150 gram object moving at a velocity of 100 m/s?

Answers

Answer:

750 J

Explanation:

lets convert mass into kg first , 150 /1000 = 0.15 kg

kinetic energy =  [tex]\frac{mv^{2} }{2}[/tex] =  [tex]\frac{0.15*100^{2} }{2} = 750 J[/tex]

The kinetic energy will be 750 J for an object mass of 150 grams and the object moving at a velocity of 100 m/s.

What is Kinetic Energy?

A moving item or particle might have power of a certain type called kinetic energy. When work, which entails the transfer of energy, is done on an object by applying a net force, that object acquires kinetic energy. The kinetic energy of a moving object or particle is a function of its mass and velocity of motion. Vibration, rotation around an axis, translation (or moving along a path from one place to another), or any combination of these might be considered motion.

According to the question, the given values are :

Mass, m = 150 gram or,

m = 150 /1000 = 0.15 kg and,

Velocity, v = 100 m/s.

As we know that the kinetic Energy = 1/2 mv²

K.E = 1/2 (0.15)(100)²

K.E = 1/2 (1500)

K.E = 750 J.

Hence, the kinetic energy will be 750 J.

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What is a bond between a positive and a negative ion charge?

Answers

Answer:

Ionic Bond

Explanation:

Answer:

An ionic bond

Suman climb a 5 metre high ladder in 10 second calculate his power the mass of his body is 50 kg​

Answers

Answer:

245W

Explanation:

Given parameters:

Mass of his body = 50kg

Height of climb  = 5m

Time  = 10s

Unknown:

Power = ?

Solution:

Power is defined as the rate at which work is done;

 Mathematically,

           Power  = [tex]\frac{work done}{time}[/tex]

  Work done  = mgh

m is the mass

g is the acceleration due to gravity

h is the height

  Work done  = 50 x 9.8 x 5  = 2450J

 

          Power  = [tex]\frac{2450}{10}[/tex]   = 245W

White light can be separated into SIX main colors (although colors are continuously blended). List these SIX colors from MOST energetic to least energetic.

Answers

Answer:

Violet, blue, green, yellow, orange, red

Explanation:

I just took the astronomy quiz, I got it right

A 100N effort force is applied to a machine and lifts a 400N object. What is the MA of the machine?

Answers

Answer: dum dum

Explanat

PLEASE PLEASE PLEASE HELP FAST!!!!!!!!!!!!!!!

Answers

Answer:

I have examined the different parts of blub and I assume the answer is (D)T and U

Hope this helps you

A dog has a mass of69kg and an acceleration of 2m/s/s. What is the force of the dog?

Answers

Answer:

138 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 69 × 2

We have the final answer as

138 N

Hope this helps you

You stand on a merry-go-round which is spinning at f = 0:25 revolutions per second. You are R = 200 cm from the center. (a) Find the angular speed ! At which it is spinning. (b) Find the centripetal acceleration, ac with which it is spinning. (c) What is the minimum coefficient of static friction is between your shoes and the floor that will keep you from slipping off?

Answers

Answer:

(a) ω = 1.57 rad/s

(b) ac = 4.92 m/s²

(c) μs = 0.5

Explanation:

(a)

The angular speed of the merry go-round can be found as follows:

ω = 2πf

where,

ω = angular speed = ?

f = frequency = 0.25 rev/s

Therefore,

ω = (2π)(0.25 rev/s)

ω = 1.57 rad/s

(b)

The centripetal acceleration can be found as:

ac = v²/R

but,

v = Rω

Therefore,

ac = (Rω)²/R

ac = Rω²

therefore,

ac = (2 m)(1.57 rad/s)²

ac = 4.92 m/s²

(c)

In order to avoid slipping the centripetal force must not exceed the frictional force between shoes and floor:

Centripetal Force = Frictional Force

m*ac = μs*R = μs*W

m*ac = μs*mg

ac = μs*g

μs = ac/g

μs = (4.92 m/s²)/(9.8 m/s²)

μs = 0.5

Two pieces of evidence for plate tectonics?

Answers

Evidence from fossils, glaciers, and complementary coastlines helps reveal how the plates once fit together. Fossils tell us when and where plants and animals once existed. Some life "rode" on diverging plates, became isolated, and evolved into new species.

Explanation:

fossil and glaciers is the to pieces of evidence

Helpp pls, with explanation

Answers

Answer:

B .

Explanation:

Elastic potential energy stored in a spring is given by;

E=1/2*k*{Δl}²  where

k= spring constant

Δl = change is length of spring

if k is different the energy stored in the system is different. This is true also in the case where Δl is different.

For a parallel system, springs help each other to carry the weight. The stiffness doubles up to mean ;

k parallel =2k

and

Δl parallel = 1/2 Δl

so;

E in one spring = 1/2*k*{Δl}²----------{a}

Using {a} this in the parallel system;

E parallel = 1/2 * 2k * {1/2Δl}²

                = 1/2 * 2* k* 1/4 *{Δl}²

                = 1/2 E in one spring

Answer : Ep / 2

what is the average speed in 4 seconds going 8 meters

Answers

Answer:

Explanation:

speed is define as rate of change of distance or displacement

v=s/t

s=8 m

t=4s

v=8/4

v=2 m/s

The formula for speed is distance over time or s = d/t
Distance = 8m or meters
Time: 4s or seconds
So s = 8/4
s = 2m/s or meters per second

HUUUUURRRRRYYYYY
Latent heat of fusion refers to which changes of state?


liquid to solid or solid to gas

solid to gas or gas to liquid

solid to liquid or liquid to solid

gas to liquid or liquid to gas

Answers

Answer:

solid to gas or gas to liquid

Explanation:

welcome

Answer:

solid to gas or gas to liquid

Explanation:

Edge

What does rain look like?

Answers

Answer:

is about something failing down

it is a water

Explanation:

it falls after the clouds are full from either evaporation or transportation in the water cycle but do not drink it, it is very dirty and bad for you

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