a linear function has the same y-intercept as x + 4y equals 16 and it's graph contains the point (4,5). Find the slope of the linear function. ​

Answers

Answer 1

Answer:  [tex]\bold{\text{Slope (m)}=\dfrac{1}{4}}[/tex]

Explanation:

A linear equation is of the form: y = mx + b   where

m is the slopeb is the y-intercept (where it crosses the y-axis)

x + 4y = 16

     4y = -x + 16

       [tex]y = -\dfrac{1}{4}x+\dfrac{16}{4}[/tex]

       [tex]y=-\dfrac{1}{4}x+4[/tex]

The y-intercept (b) = 4

Next, find the slope given point (4, 5) and b = 4

[tex]y=mx+b\\\\5=m(4)+4\\\\1=4m\\\\\dfrac{1}{4}=m\\\\\\\\\large\boxed{Slope (m)=\dfrac{1}{4}}[/tex]


Related Questions

plzzzzzzz help me quick

Answers

Explanation:

in the first thing we are allowing bacteria to grow

in the second one we are killing it

Please help
Right answers please
Will mark brainliest

Answers

Answer:

a. 45 N. / b. 0.08 m/s^2. / c. 102 N

F = ma

F = 15(3)

F = 45 newtons

F/m = a

20/250 = a

0.08 m/s^2 = a

R = ma

R =1.5(68)

102 N

In a hydroelectric power station, how much potential energy is lost by 100tonnes of water flowing down through the pipes, falling a vertical distance of 200metres? [1tonne=1000kg.]

Answers

Answer:

196000000 J

Explanation:

Potential Energy: This can be defined as the energy of a body due to its position in the gravitational field.

From the question,

P.E = mgh.................. Equation 1

Where P.E = potential Energy, m = mass of the water, h = height, g = acceleration due to gravity.

Given: m = 100 tonnes = (100×1000) = 100000 kg, h = 200 m

Constant: g = 9.8 m/s²

Substitute into equation 1

P.E = 100000(200)(9.8)

P.E = 196000000 J.

Note: When a object falls through a height he losses its potential energy.

Hence the potential energy lost = 196000000 J = 196 MJ.

which of the following terms describes a machine that converts heat into work?
A. Entropy pump
B. Heat engine
C. Heat pump
D. Entropy engine

Answers

the answer is A. Entropy pump

Answer: A

Heat engine

Explanation: just took the test

what is an atomic nucleus?

Answers

It is basically a very tiny region centering around protons and neutrons in the center of a atom

Un movil pasa por el punto A en direccion hacia B (350cm más adelante) y, luego, sigue hasta el punto C. Sabiendo que pasa por B a las 11:42:38 y por C a las 11:43:16, completando un tiempo total de recorrido de 3min 47s, calule la distancia entre B y C y a la hora a la que paso por el punto A.

Answers

Explanation:

PRIMERO HACES EL RECUENTO DEL TIEMPO Y LO CONVIERTES EN

SEGUNDOS Y ENTONCES

t = 227 s      [tex]t_{AB}[/tex] = 227 S - 38 s = 189 s

[tex]t_{BC}[/tex] = 38 s

LUEGO USANDO LA ECUACIÓN DE GALILEO GALILEI SSUPONIENDO

QUE EL MOVIL VIAJA A VELOCIDAD CONSTANTE

v = 3.50 m/189 s = 0.0185 m/s

PARA LA DISTANCIA NTRE B Y C

[tex]x_{BC}[/tex] = 0.0185 m/S( 38 s) = 0.703 m

LA HORA EN QUE EL MOVIL PASA POR A ES

11:43:15 - 38 s - 189 s = 11:39:29

the components and functionality of the event horizon telescope.

Answers

Answer:

The Event Horizon Telescope comprises of a an interconnection of radio observatories. These radio observatories work in unison and helps in efficient observation of radio sources associated with black holes with angular resolution in comparison to their event horizons. This equipment functions by ensuring that anything or light which goes through the event horizon cannot escape from the black hole. Instead there will be a continual falling towards the center of the black hole.

What is the symbol for Pressure ? Help

Answers

Answer:

The answer is Pascal or Pa.

Answer:

Pa or small p

Explanation:

Force over Area. The SI unit is Pascal

*
A light year is
1 Point
O 365 days
O The distance light travels in a year
O The distance from Earth to Proxima Centauri
Helppp now is my final exammmm pleaseeee

Answers

Answer:

2.The Distance Light Travels In A Year

Explanation:

A Light Year Is Nothing But The Distance That The Light Travels In Onw Year

Answer:

Shown from explanation.

Explanation:

Light year is the distance light travels in one year and you can calculate that.

Light travels 3× 10^8m in 1 second; so you calculate the number of seconds in 365days and multiply by 3× 10^8m.

Light year was a unit of measure derived by man for expressing planetary distances due to their so huge distance which goes beyond our scale of measure.

One of the earliest forms of load-bearing construction is the ____ method of construction.

Answers

Answer:

the materials most often used to construct load bearing walls in large building are concrete ,block or brick . load bearing walls are one of the earliest forms of construction

A rocket is launched from atop a 101 foot cliff with an initial velocity of 116 ft/s.

\a. Substitute the values into the vertical motion formula h(t) = -16t2 + vt + h0 . Let h(t) = 0

b. How long will the rocket take to hit the ground after it is launched? Round to the nearest tenth of a second.

Answers

Answer:

A. 16t2 -116t -101=0 B. 8.0s

Explanation:

Known parameters from the question:

Height of Cliff,h0 = 101ft

Velocity of rocket ,v= 116ft/s.

1.Substituting the above to the above formula we have;

h(t) = -16t2 + vt + h0

Since h(t) =0, it means the rocket is falling towards the ground, when it gets to the ground when it's at rest the height h(t) = 0m

{Note the rocket is launched from the height of the Cliff so that would be the initial height of the rocket,h0}

2.Substituting into h(t) = -16t2 + vt + h0

We have;

0 = -16t2 + 116t + 101=> 16t2 -116t -101=0

Using formula method for solving quadratic equation we have;

t = -(-116)+_√[(-116)^2 -( 4× 16 ×-101]/ (2× 16)

t = [116 +_(141.1382)]/32

t = (116 -141.1382)/32 or (116 +141.1382)/32

-0.786s or 8.036s

-0.8s or 8.0s to the nearest tenth.

Now time cannot be negative in real life situation hence the time is 8.0s

Note : the general equation of a quadratic equation with variable t is given below;

at2 + bt + c=0

Formula method for quadratic equation is :

t =( -b+_√[(b^2 -( 4× a×c)] ) / (2× a)

In some creatures, bioluminescence transforms
energy
energy into
OA) heat; light
OB) light; heat
OC) chemical potential; light
OD) light; chemical potential​

Answers

OB which is light and heat

Answer:

Hey!

Your answer would be option B. Light; heat...

Explanation:

In bioluminescent organisms, the energy is transformed int light energy and less then 20% of the total energy is put into Thermal Radiation!

HOPE THIS HELPS!!

‏A 50 - N x m torque acts on a wheel with a moment of inertia 150 kg x m² . If the wheel starts from rest , how long will it take the wheel to make one revolution ?

Answers

Answer:

t = 6.17 s

Explanation:

For a 1 revolution movement, [tex]\triangle \theta = 2\pi[/tex]

Torque, [tex]\tau = 50 Nm[/tex]

Moment of Inertia, [tex]I = 150 kg m^2[/tex]

If the wheel starts from rest, [tex]w_{0} = 0 rad/s[/tex]

The angular displacement of the wheel can be given by the formula:

[tex]\triangle \theta = \omega_0 t + 0.5 \alpha t^2[/tex]................(1)

Where [tex]\alpha[/tex] is the angular acceleration

[tex]\tau = I \alpha\\\alpha = \frac{\tau}{I} \\\alpha = 50/150\\\alpha = 0.33 rad/s^2[/tex]

To get t, put all necessary parameters into equation (1)

[tex]2\pi = 0(t) + 0.5(0.33)t^2\\2\pi =0.5(0.33)t^2\\t^2 = \frac{4 \pi}{0.33} \\t^2 = 38.08\\t = 6.17 s[/tex]

why is no one helping?

Answers

Answer:

First one is hyperopia, second is myopia

Explanation:

Hyperopia is when the image is formed behind the retina.

Myopia is when images are formed infront of the retina.

What are some advantages
and disadvantages to using
superconductors as electric
transmission lines

Answers

Answer:

Insulators show very high resistance to electricity. Conductors like copper show some resistance. Another class of materials show no resistance at all when cooled to very low temperatures, cooler than the coolest deep freezer. Called superconductors, they were discovered in 1911.

Explanation: i looked it up

Rhodes research indicates that people are generally accurate in guessing the ages of unfamiliar persons based on their faces. This research has important implications for

Answers

The available options are:

A. bartenders serving alcohol

B. students identifying their professors.

C. Doctors diagnosing cases of schizophrenia.

D. eyewitnesses identifying suspects from a lineup.

Answer:

A.  bartenders serving alcohol

Explanation:

This is because of the underage rule concerning sale of alcohol. Thus, there are occasional period in which underage person or a minor will want to buy alcohol, and without necessarily asking for the birth certificate or ID card that contains Age information, it is therefore, necessary for bartenders to be able to tell the age of their unfamiliar customers, by mere looking at them, so as not to sell to a minor.

Hemce, Rhodes research in guessing the age of unfamiliar person has important implications for BARTENDERS SERVING ALCOHOL, because it will guide them to determine Underage or Minor, that want to buy alcohol from them.

the weight of a body of certain mass become zero in space.why?

Answers

Answer:

There is no force in space.

Explanation:

Weight is the gravitational force acting on the mass as in space there is no gravity so weight appeares as zero

Answer:

It is because of gravity that your weight of a certain mass becomes zero in space.

Explanation:

Salt is dissolved in a flask of tap water . Distilling the mixture causes the salt to separate from the water. Which type of energy is required to begin the distilling process

Answers

I think it’s kinetic energy

Explain the following behaviour of molecules water rises up in a harrow tubes but mercury which is also a liquid falls in a narrow tubes to level below the outside surface

Answers

Answer: find the answer in the explanation

Explanation:

The capillarity of water molecules is different from the mercury molecules.

What is capillarity ?

This is the tendency of a liquid substance to rise in a capillary tube.

Molecules water rises up in a harrow tubes because of the force of adhesion between the water molecules and the tube molecules is greater than the force of cohesion between the water molecules. This helps water to wet the tube and rise. While mercury which is also a liquid falls in a narrow tubes to level below the outside surface because the force of cohesion between the mercury molecules is greater than the force of adhesion between the mercury molecules and the tube molecules. Mercury does not wet.

explain why atmospheric pressure decreases towards higher altitudes

Answers

Answer:

At higher elevations, there are fewer air molecules above a given surface than a similar surface at lower levels. ... Since most of the atmosphere's molecules are held close to the earth's surface by the force of gravity, air pressure decreases rapidly at first, then more slowly at higher levels.

Explanation:

happy to help:)

would iron and carbon from metallic bonds

Answers

Answer:

NO

Explanation:

Since iron is a metal and carbon is a non- metal, they cannot form a metallic bond.

this principle is useful in solar cooker but can be harmful on earth?

Answers

Answer:

Green House Effect

Explanation:

Green House Effect is the principle used in solar cookers but it can be really harmful for the Earth producing some green house gases.

Njoki planted trees at intervals of 22m apart on the diagonal of a rectangular plot of land that measures 48m by 20m . How many trees did he plant​

Answers

Answer:

The number of tree is 2

Explanation:

the diagonal of the rectangular plot of land  can be found using Pythagoras theorem (the diagonal is the hypotenuse)

Given

length of land x= 48m

width of land y= 20m

digonal z= ?

[tex]z^2= x^2+y^2\\\\z=\sqrt{ x^2+y^2} \\[/tex]

substituting the values of x and y into the equation we can solve for z

[tex]z=\sqrt{ 48^2+20^2} \\\\z=\sqrt{ 2304+400} \\z=\sqrt{ 2704} \\z=52m\\[/tex]

The diagonal is 52m

Hence since the interval = 22m the number if treee is

[tex]\frac{52}{22} = 2.36\\[/tex]

The number of trees must be whole numbers , the number of tree is 2

A wave has an amplitude of 2 cm. What is its energy (KW)?

Answers

Answer:

1.962 × 10⁻³ kW

Explanation:

The energy of a wave of a wave, such as an ocean wave, in regions of considerable water depth given its amplitude in a meter of crest and surface  unit is given by the relation;

[tex]E = \dfrac{\rho \times g \times A^2}{2}[/tex]

Where:

ρ = Density of water = 1000 kg/m³

g = Acceleration due to gravity = 9.81 m/s²

A = Wave amplitude = 2 cm = 0.02 m

We therefore have;

[tex]E = \dfrac{1000 \times 9.81 \times (0.02)^2}{2} = 1.962 \ \dfrac{m^2 \cdot kg}{s^2} = 1.962 \ J[/tex]

The energy is power is the energy per second which is gives;

P = E /second = 1.962 J/s = 1.962 W = 1.962 × 10⁻³ kW.

A 31.7 kg kid, initially at rest, slides
down a frictionless water slide at 53.2º.
How fast is she moving 3.45 s later?

Answers

Answer:

34.55m/s

Explanation:

Now from Newton's law of motion;

V= U+ a×t

V- final velocity

U- initial velocity = 0m/s

a- acceleration

t- time

Note that a = g/cos53.2°

Now g is acceleration of free fall due to gravity

This is a vertical acceleration since the course of motion is along a plane inclined at 53.2° to the height of the pool.

Also from trigonometry identity

cos 53.2°= vertical component a/ acceleration ( cos a = adjacent/hypothenus)

If we assume g = 9.8m/S2 { a generally given value}

Substituting t = 3.45s as the time of consideration, we have;

V = 0 + (9.8/cos53.2°)×3.45

= -34.55m/s

Note the -ve sign is just telling us this velocity is causing the object to move down.

Hence V = 34.55m/s

Answer:

27.07 m/s

Explanation:

this is the right answer

The diagram below shows a 5.0-kilogram bucket of water being swung in a horizontal circle of 0.70-meter radius
at a constant speed of 2.0 meters per second.
5.0-kg Bucket
0.70 m
The magnitude of the centripetal force on the bucket of water is approximately
1) 5.7 N
2) 14 N
3) 29 N
4) 200 N

Answers

Answer:

F = 29 N

Explanation:

We have,

Mass of the bucket of water is 5 kg

Radius of a horizontal circle is 0.7 m

Speed of the circle is 2 m/s

It is required to find the magnitude of centripetal force on the bucket of water. The formula used to find the magnitude of centripetal force is given by :

[tex]F=\dfrac{mv^2}{r}\\\\F=\dfrac{5\times (2)^2}{0.7}\\\\F=28.57\ N[/tex]

or

F = 29 N

So, the centripetal force on the bucket of water is 29 N.

The magnitude of the centripetal force on the bucket of water is approximately 29 N

Definition of centripetal force

Centripetal force is the force that acts to keep an object moving in a circular motion. It is expressed mathematically as:

F = mv² / r

With the above formula, we can obtain the centripetal force acting on the bucket.

How to determine centripetal force

•Mass (m) = 5 Kg

•Radius (R) = 0.7 m

•Velocity (v) = 2 m/s

•Centripetal force (F) =?

F = mv² / r

F = (5 × 2²) / 0.7

F = (5 × 4) / 0.7

F = 20 / 0.7

F = 29 N

Learn more about centripetal force:

https://brainly.com/question/10596517

The space shuttle is accelerated off its launch pad to a velocity of 525 m/s in 18.0 seconds.
What is its average acceleration?

Answers

Answer: 29.17m/s^2

Explanation:

Given the following :

Velocity = 525 m/s

Time = 18 seconds

Acceleration = change in Velocity with time

Using the motion equation:

v = u + at

Where v = final Velocity

u = Initial Velocity and t = time

Plugging our values

525 = 0 + a × 18

525 = 18(a)

a = 525 / 18

a = 29.166666

a = 29.17 m/s^2

Please explain how you got the answer :(

Answers

Answer:

36.5 kJ

Explanation:

Energy by machine = energy to machine × efficiency

E = 52.1 kJ × 0.70

E = 36.5 kJ

8. Simple machines make a job easier to perform by
a. decreasing the amount of work
b. decreasing the amount of friction
c. decreasing the amount of force and/or changing the direction of force
d. only lower the amount of force

Answers

Answer:

C

Explanation:

When a rocket accelerates through space is there work done?

Answers

Yes, the work is done because there is a net force acting for there to be a net acceleration
Yes work is done because there is a net force
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This latter species (A. cristatus) was first characterized . . . from its short, broad head, and strong claws of equal length, that its habits of life would turn out very peculiar, and different from those of its nearest ally, the iguana. It is extremely common on all the islands throughout the group, and lives exclusively on the rocky sea-beaches, being never found . . . even ten yards in-shore. It is a hideous-looking creature of a dirty black colour, stupid, and sluggish in its movements. The usual length of a full-grown one is about a yard, but there are some even four feet long; a large one weighed twenty pounds: on the island of Albemarle, they seem to grow to a greater size than elsewhere. Their tails are flattened sideways, and all four feet partially webbed. They are occasionally seen some hundred yards from the shore, swimming about; and Captain Collnett, in his voyage says, They go to sea in herds a-fishing, and sun themselves on the rocks; and may be called alligators in miniature. It must not, however, be supposed that they live on fish. When in the water, this lizard swims with perfect ease and quickness, by a serpentine movement of its body and flattened tailthe legs being motionless and closely collapsed on its sides. A seaman on board sank one with a heavy weight attached to it, thinking thus to kill it directly, but when an hour afterwards, he drew up the line, it was quite active. Their limbs and strong claws are admirably adapted for crawling over the rugged and fissured masses of lava, which everywhere from the coast. 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