A displacement vector begins at the point (2,3) on a Cartesian plane and ends at (5, 7). Calculate the length of this vector

Answers

Answer 1

Answer:

The length is d = 5

Explanation:

We must identify the respective coordinates of both points.

(x1,y1) = (2,3)

(x2,y2) = (5,7)

Now we know the distance equation of a straight line:

[tex]d=\sqrt{(x_{2} -x_{1} )^{2} +(y_{2} -y_{1} )^{2} } \\d=\sqrt{(5-2)^{2} +(7-3)^{2} }\\ d=\sqrt{9+16} \\d=5[/tex]


Related Questions

A car weighs 2,000 kg. It moves along a road by applying a force on the road with a parallel component of 560 N. There are two passengers in the car, each weighing 55 kg. If the magnitude of the force of friction experienced by the car is 45 N, what is the acceleration of the car?

Answers

Answer:

The acceleration of the car is 0.244 m/s²

Explanation:

Given;

mass of the car, m = 2,000 kg

applied parallel force on the car, F = 560 N

mass of the two passengers, m = 2 x 55 kg = 110 kg

frictional force on the car (reducing horizontal motion), Fk = 45 N

Weight of the car acting downward, W = 2,000 x 9.8 = 19,600 N

weight of the two passengers acting downward, w = 110 x 9.8 = 1078 N

The net horizontal force on the car is given by;

∑Fx = F - Fk

∑Fx = 560 - 45

∑Fx = 515 N

Apply Newton's second law of motion;

F = ma

where;

m is the total mass of the system = mass of car + mass of passengers

m = 2000 + 110 = 2,110 kg

a = ∑Fx / m

a = 515 / 2110

a = 0.244 m/s²

Therefore, the acceleration of the car is 0.244 m/s²

the primary_______ cortex specializes in receiving signals from different parts of the body?

Answers

Answer:

somatosensory

Explanation:

The primary somatosensory cortex specializes in receiving signals from different parts of the body.

A 100.0-kg bakery sign hangs from two thin cables as shown.



What is the tension in each cable?

Answers

Answer:

1. T₁ = 500 N

2. T₂ = 866 N

Explanation:

Please see attached photo for the diagram.

Thus, we can obtain obtained the value of T₁ and T₂ as follow:

1. Determination of T₁

Angle θ = 30

Hypothenus = 100 kg

Opposite = T₁ =?

Sine θ = Opposite /Hypothenus

Sine 30 = T₁ / 100

Cross multiply

T₁ = 100 × Sine 30

T₁ = 100 × 0.5

T₁ = 50 Kg

Multiply by 10 to express in Newton

T₁ = 50 × 10

T₁ = 500 N

2. Determination of T₂

Angle θ = 60

Hypothenus = 100 kg

Opposite = T₂ = ?

Sine θ = Opposite /Hypothenus

Sine 60 = T₂ / 100

Cross multiply

T₂ = 100 × Sine 60

T₂ = 100 × 0.8660

T₂ = 86.6 Kg

Multiply by 10 to express in Newton

T₂ = 86.6 × 10

T₂ = 866 N

what is a formula unit​

Answers

A formula unit is the empirical formula for an ionic compound. It is the lowest possible ratio of the cations and anions of a given ionic compound.

What term refers to producing magnetism by placing a body within a magnetic field?

A. Polarization
B. Natural magnetism
C. Artificial magnetism
D. Induced magnetism

Answers

Answer:

Induced magnetism

Explanation:

Answer:

induced magnetism

Explanation:

Placing a piece of metal such as an iron bar into a magnetic field, thereby causing the bar to become magnetized, is known as induced magnetism. Typically, an object that has been magnetized in this manner will lose its magnetic properties quickly when removed from the magnetic field.

Can somebody plz read the information and answer just number 1-2 it’s kinda easy for some of y’all lol
(WILL MARK AS TOP BRAINLIEST) if correct)
:D

Answers

Answer:

PLEASE MARK BRAINLIST

Explanation:

queotioning1.what is genetic variations2.what is inherited gens

A runner is jogging in a straight line at a steady Vr= 3.4km/hr. When the runner is L=8km from the finish line, a bird begins flying straight from the runner to the finish line at Vb= 17km/hr(5 times as fast as the runner). When the bird reaches the finish line, it turns around and flies directly back to the runner. What cumulative distance does the bird travel?

Answers

Answer:

The cumulative distance that the bird travel is 13.33 Km

Explanation:

Given that,

Velocity of runner = 3.4 km/hr

Distance = 8 km

Velocity of bird = 17 km/hr

Let x is the distance from the origin where the runner run into the bird

We need to calculate the value of x

Using time of runner and bird

[tex]t_{r}=t_{b}[/tex]

[tex]\dfrac{d_{r}}{v_{r}}=\dfrac{d_{b}}{v_{b}}[/tex]

Put the value into the formula

[tex]\dfrac{x}{3.4}=\dfrac{8+(8-x)}{17}[/tex]

[tex]17x=3.4\times8+3.4(8-x)[/tex]

[tex]17x=27.2+27.2-3.4x[/tex]

[tex]17x+3.4x=54.4[/tex]

[tex]x=\dfrac{54.4}{20.4}[/tex]

[tex]x=2.67[/tex]

We need to calculate the cumulative distance that the bird travel

Using distance of bird

[tex]d_{b}=16-x[/tex]

Put the value into the formula

[tex]d_{b}=16-2.67[/tex]

[tex]d_{b}=13.33\ km[/tex]

Hence, The cumulative distance that the bird travel is 13.33 Km

a wire has current 5A in it.how much charge pass a point in wire in 2 min..???

Answers

Answer:

600 Coulomb

Explanation:

Electric Current refers to the charge passing through unit cross section of a wire per second.

Current ( C / sec) = 5A = 5C / sec

So, 5C charge passes through the wire in one second, then, amount of charge passing through a cross section of the wire in 120 seconds is :

5C * 120 = 600 Coulumb

A hayride wagon is going down a spooky country road at 15 m/s when a Scarecrow appears in the roadway. The man at the wheel of the tractor takes 2.5 seconds to react and applies the breaks at a -1.65 m/s/s coming to a stop. How far did the hayride move before coming to a stop?

Answers

Answer:

d = 68.18 m

Explanation:

Given that,

Initial velocity, u = 15 m/s

Finally it comes to stop, v = 0

Acceleration, a = -1.65 m/s²

Time, t = 2.5 s

We need to find the distance covered by the hayride before coming to a stop. Let d is the distance covered. Using third equation of motion to find it :

[tex]v^2-u^2=2ad\\\\d=\dfrac{v^2-u^2}{2a}\\\\d=\dfrac{-(15)^2}{2\times -1.65}\\\\d=68.18\ m[/tex]

So, the hayride will cover a distance of 68.18 m.

What is tranlsatory motion? Give two examples​

Answers

Answer:

The motion in which all particles of a body move through the same distance in the same time.

Examples: A car moving along the road

A ball rolling on the ground

Test yourself: 1
A truck has mass of 1000 kg. What force will give it an acceleration of 1.5 m/s2
Given:
Answer
Unknown:
Formula
Substitute the numerical
values in the formula
Final Answer​

Answers

Answer:

F = 1500 [N]

Explanation:

To solve this problem we must use Newton's second law, which tells us that the sum of all forces must be equal to the product of mass by acceleration.

ΣF = m*a

F = 1000*1.5

F = 1500 [N]

Are these right? Just need you to confirm or tell we what I got wrong. Thanks​

Answers

Answer:

yes  it is write

Explanation:

Which two phrases describe a situation that will cause a stationary object to
start moving?
A. A net force equal to 0
B. A net force greater than 0
C. Unbalanced forces
D. Balanced forces
(two phrases)

Answers

Answer:

A net force greater than 0 is the answer

Explanation:

trust

Answer:

b c

Explanation:

Suppose you are an engineer, and you are asked to measure the force on a supporting beam of a bridge. You measure it to be 50,067 lbs, but you know that your scale is only precise to ±400 lbs. How do you record this measurement in your final report to the client? (Keep in mind that you want to find the perfect way to express the number to give an idea of how precise it is.) Click the above link to submit a three sentence description, which includes: (5 pts) How you would record the measurement in the final report. (5 pts) Why you would record it that way.

Answers

Answer:

F = (500 ± 4) 10² lb

Explanation:

This is an exercise in the uncertainty or error of a measurement.

If a single measurement is made, the way to give the result is the measurement value plus the appreciation of the instrument that corresponds to the absolute error, in the form

           F = x ± Δx

           

For this, a suitable uniform is the use of scientific notation, where each magnitude is written with an integer and some decimals multiplied by an exponential.

           X = 50067 lb = 5.0067 10⁴ lb

the uncertainty is

           Δx = 400 lb = 4.00 10² lb

so the result for the report must be written

          F = (500 ± 4) 10² lb

where the significant figures are adjusted to the measurement error.

In the case of making a series of measurements, the value obtained is the average of the measurements and the error must be given by the standard deviation

using the rules for the significant figures what do you get when you add 24.545 and 307.3

Answers

1
2 4. 5 4 5
+3 0 7. 3 0 0
——————
3 3 1 8 4 5
line up the decimal points and add.
hope this helps!

Answer:

331.8 (Plato/Edmentum)

Explanation:

#1: 24.545 + 307.3

#2: 331.845

#3: 331.8

HELP WKDUXHWOSUSG PLSSSS

Answers

Hi!

givens: initial velocity = 0 m/s

time = 8.5 s

acceleration = 10 m/s^2

Unknown: displacement, velocity final

Equation:

Displacement = 1/2 (at^2) + viT

SS:

Displacement = 1/2 (10 * 8.5^2) + 0

Displacement = 361.25 m in a positive direction.

My math might be a little off, but I'm not sure...

But yeah! Hope this helped :)

what refers to how large or strong is the force?
A. magnitude
B. line of action
C. velocity of the object
D. direction of the force​

Answers

Explanation:

Option A= magnitude

Which two changes would decrease the gravitational force between two
objects?
A. Decrease the distance between the objects.
B. Increase the mass of one of the objects.
O c. Decrease the mass of one of the objects.
D. Increase the mass of both objects.
E. Increase the distance between the objects.

Answers

Answer:

C. Decrease the mass of one of the objects.

E. Increase the distance between the objects.

Explanation:

The gravitational force will decrease when we increase the distance between the objects and decrease the mass of both objects.

What are the factors affecting gravitational force?The factors affecting gravitational force are the masses of the objects and the distance separating the objects.The gravitational force increases with increase in mass and decreases with increase in distance of separation and vice versa.Therefore, the gravitational force will decrease when we increase the distance between the objects and decrease the mass of both objects and the gravitational force will increase when we decrease the distance between the objects and increase the  mass of both objects.The masses can be taken between two objects and named as m1 and m2.

Learn more about gravitational force,

brainly.com/question/11359658

#SPJ5

Bob wanted to investigate the effects of plant fertilizer. He bought three identical plants and gave plant 1 fertilizer every morning; plant 2 fertilizer once a week, and he didn't use any fertilizer on plant 3. Bob watered each plant every morning and set all three plants on the windowsill so they would all have the same amount of sunlight. He measured the height of each plant once a week . He plotted plant height (y-axis)vs time (x-axis) for each plant. What is the independent variable * 1 point

Answers

Answer:

TIME he applied the fertilizer to each plant

Explanation:

Independent variable in an experiment is the variable that is subject to change or manipulation by the experimenter. In this experiment, Bob wanted to investigate the effects of plant fertilizer. Bob sets up the experiment by applying the fertilizer to each plant at DIFFERENT TIMES i.e. plant 1-every morning, plant 2-once a week, plant 3-never.

Based on this, it is obvious that the independent or manipulated variable is the TIME at which he applied the fertilizer. On the other hand, the dependent or measured variable is the height of the plants.

You are riding a bicycle. If you apply a forward force of 125 N, and you and your bicycle have a mass of 86 kg, what will be the forward acceleration of the bicycle?
A.) 1.67 m/s²
B.)1.52 m/s²
C.) 3.37 m/s²
D.) 0.66 m/s²

Answers

Answer: B 1.52 m/s hope this helps

Explanation: I just took the test

Why do high water temperatures reduce the amount of fish in a water ecosystem? A. High temperatures decrease the nutriet level B. High temperatures can lower pH of the water C. High temperatures can decrease turbidity D. High temperatures can reduce the amount of dissolved oxygen in the water

Answers

Answer:

The correct option is  D

Explanation:

Generally when there is an increase in temperature of water the solubility of oxygen decrease and this would in turn decrease the amount of fish in water due to the fact that fish require oxygen soluble oxygen to survive

Convert 4 µL to mL
Please help meeeee

Answers

Answer:

0.004

Explanation:

1 micrometer= .001 milimeter

so 4 Micrometers= .004 milimeters


The spreading out of waves after they pass through a narrow opening is?

Answers

Explanation:

DIFFRACTION

Problem #1- In the first scene in which Miss Clark appears, she is supposed to be wearing a BLACK dress.
The only available dress that will fit the student playing this role is RED. There is no money in the budget to
purchase another dress. What can be done to the lighting on the stage to make the RED dress APPEAR
BLACK?

Answers

Answer:

Blue Lighting

Explanation:

In order to make red look black, you must use blue light. The blue would be absorbed and there would be no red light to reflect.

Answer:

You would have to shine green Light on the actress to make the dress appear to be red.

Explanation:

The reason it  would appear to be red is because green reflects the red colour and absorbs the rest. So, when green light is shone on the dress, it absorbs all of the green light and not reflecting anything.The dress then appears to beblack.

Pls help ASAP now! This is physical science

Answers

Option A is correct answer

Answer:

A

Explanation:

D and C are both eliminated because it being shaped like a horseshoe has nothing yo do with it and c is wrong cause the core is really hot there for it can not be similar so A because it has north and south poles meaning its magnetic ability

According to the Mayflower compact, to unite, the colonist were required to forfeit some ———- "for the general good of the colony"


Personal right


Personal property


Religious beliefs


Personal income

Answers

I believe it’s their Personal Right! Hope this helps!! :)

how can 2 things that are gasses (hydrogen and oxygen) become a liquid
when combined (water H2O)?

Answers

Answer: good question lol

Explanation:

3. On Earth, what is the weight of a large-screen TV that has a mass of 75
kg? W (force) = m X gravity on earth
1 point
735 kg
735 Newtons
735 grams
9.8 m/sec 2

Answers

Answer:

735 N

Explanation:

Mass * gravity    75KG * 9.8 m/s^2 = 735 Newtons

On earth, the weight of a large screen TV with a mass of 75 kg would be 735 Newtons.

Weight is a kind of force.

Recall Newton's law of motion that says: F = ma, where F = force, m = mass, and a = acceleration due to gravity

In this case, m = 75 kg and a = 9.8 m/s2

Therefore,

       f = 75 x 9.8

                   = 735 Newtons

More on calculating weight can be found here: https://brainly.com/question/23245710


To determine
the force of an object what two measurements
are multiplied?

Answers

Answer:

Mass and acceleration

true or false money difficult to carry around​

Answers

Answer

yeard

Explanation:

cause it is

Answer:

The answer is true

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