All categories

3 years ago

If two lines in a system of linear equations have the same slope and same y-intercept, how many solutions will the system have?

Physics

1 answer:

arsen [322]3 years ago

8 0

Answer:

We will have infinite solutions to the system of linear equations.

Explanation:

Well, when we have two lines with the same slopes and the same y-interception, both of them are overlapped, so we will have infinite solutions to the system of linear equations.

This kind of system is called dependent system.

I hope it helps you!

You might be interested in

A speaker vibrates at a frequency of 200 hz. What is it's period ?

Katen [24]

200 Hz = 200 cycles per sec

1 cycle, the period = 1/200 = 0.005 seconds, or 5 milli seconds.

8 0

3 years ago

3) A 900N mountain climber scales a 100m cliff. How much work is done by the mountain climber?

Y_Kistochka [10]

Answer:

90 kJ

Explanation:

Work = force × distance

W = (900 N) (100 m)

W = 90,000 J

W = 90 kJ

4 0

3 years ago

Read 2 more answers

Use the following terms in the same sentence:proton, neutron ,and isotope

UkoKoshka [18]

Atoms of the same element having equal numbers of protons, but different numbers of neutrons is called isotope.

8 0

3 years ago

Two sound waves have equal displacement amplitudes, but wave 1 has two-thirds the frequency of wave 2. What is the ratio of the

zlopas [31]

Answer:

$\dfrac{I_1}{I_2}=\dfrac{4}{9}$

Explanation:

c = Speed of wave

$\rho$ = Density of medium

A = Area

$\nu$ = Frequency

$\nu_1=\dfrac{2}{3}\nu_2$

Intensity of sound is given by

$I=\dfrac{1}{2}\rho c(A\omega)^2\\\Rightarrow I=\dfrac{1}{2}\rho c(A2\pi \nu)^2$

So,

$I\propto \nu^2$

We get

$\dfrac{I_1}{I_2}=\dfrac{\nu_1^2}{\nu_2^2}\\\Rightarrow \dfrac{I_1}{I_2}=\dfrac{\dfrac{2}{3}^2\nu_2^2}{\nu_2^2}\\\Rightarrow \dfrac{I_1}{I_2}=\dfrac{4}{9}$