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3 years ago

12

Heather writes the equations below to represent two lines drawn on the coordinate plane. â€“6x + 18y = 0 4x â€“ 12y = 20 After a

pplying the linear combination method, Heather arrived at the equation 0 = 60. What conclusion can be drawn about the system of equations?

2 answers:

devlian [24]3 years ago

8 0

Answer:

The system has no solution

Explanation:

You can check it graphically, the pair of equations represents two lines, if they never cross, or if they are parallel, the system of equations is inconsistent and has no solution.

I attached you two pictures in which you can see the graphical result.

yuradex [85]3 years ago

5 0

Answer:

The equation has no solution; therefore, the system of equations has no solution.

Explanation:

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Two point charges are separated by a distance of 1 meter. How much would the force change if one charge was 4x larger?

jekas [21]

Answer:

the force would increase 4 times more

Explanation

more force results more mass or acceleration

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3 years ago

Read 2 more answers

A horse of mass 242 kg pulls a cart of mass 224 kg. The acceleration of gravity is 9.8 m/s 2 . What is the largest acceleration

Rufina [12.5K]

To solve this problem it is necessary to apply the concepts related to Newton's second Law and the force of friction. According to Newton, the Force is defined as

F = ma

Where,

m= Mass

a = Acceleration

At the same time the frictional force can be defined as,

$F_f = \mu N$

Where,

$\mu =$ Frictional coefficient

N = Normal force (mass*gravity)

Our values are given as,

$m_h = 242 kg\\m_c = 224 kg\\\mu = 0.894\\$

By condition of Balance the friction force must be equal to the total net force, that is to say

$F_{net} = F_f$

$m_{total}a = \mu m_hg$

$(m_h+m_c)a = \mu*m_h*g$

Re-arrange to find acceleration,

$a= \frac{\mu*m_h*g}{(m_h+m_c)}$

$a = \frac{0.894*242*9.8}{(242+224)}$

$a = 4.54 m/s^2$

Therefore the acceleration the horse can give is $4.54m/s^2$

3 0

3 years ago

An airplane flies with a constant speed of 840km/h. how far can it travel in 1 hour?

arlik [135]

Distance = speed X time

In this example, the speed of the airplane = 840km. The time (that the question is asking)is how far can it travel in 1 hour.

So just plug in your numbers.

Distance = 840km X 1 hour = 840km/hour or 840km for short.

3 0

3 years ago

What is the speed of a commercial jet which travels form New York to Los Angeles (4800) in 6 hours

Colt1911 [192]

Answer:

$Speed = 800km}/hr$

Explanation:

Given

$Distance = 4800km$

$Time = 6hr$

Required

Determine the speed of the jet

The speed is calculated as:

$Speed = \frac{Distance}{Time}$

Substitute 4800 km for Distance and 6hr for Time

$Speed = \frac{4800km}{6hr}$

$Speed = 800km}/hr$

<em>Hence, the speed of the commercial jet is 800km/hr</em>

8 0

3 years ago

A 12 volt battery in a motor vehicle is capable of supplying the starter motor with 150 A. It is noticed that the terminal volta

qwelly [4]

Answer: $0.0133 \Omega$

Explanation:

Given

Voltage=12 V

Current(I)=150 A

$V_{terminal}=10 V$

$r_{internal}=\frac{\Delta V}{I}$

$r_{internal}=\frac{12-10}{150}$

$r_{internal}=\frac{2}{150}=0.0133 \Omega$

4 0

3 years ago