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valkas [14]
2 years ago
15

Which statement describes the system of equations?

Mathematics
2 answers:
Kruka [31]2 years ago
6 0

Answer: The system has infinitely solutions.

Step-by-step explanation:

The given system of equations : -

-5x-4y=-4\\\Rightarrow\ -5x-4y+4=0-----(1)\\\\25x+ 20y = 20\\\Rightarrow\ 25x+20y-20=0----(2)

Compare these equation with a_1x+b_1y+c_1=0 and  a_2x+b_2y+c_2=0 respectively , we get

a_1=-5\ ;b_1=-4\ ;\ c_1=4

a_2=25\ ;b_2=20\ ;\ c_2=-20

Now, \dfrac{a_1}{a_2}=\dfrac{-5}{25}=\dfrac{-1}{5}

\dfrac{b_1}{b_2}=\dfrac{-4}{20}=\dfrac{-1}{5}

\dfrac{c_1}{c_2}=\dfrac{4}{-20}=\dfrac{-1}{5}

Thus , \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}=\dfrac{-1}{5}

It means these lines are coincident, thus they have infinite number of solutions.

qwelly [4]2 years ago
3 0

Answer:

Step-by-step explanation:

-5x-4y=-4  ...(1)

25x+ 20y = 20 ....(2)

multiply (1) by -5 you have : 25x+ 20y = 20 ....(2) same equation , same line

so : The system has infinitely solutions.

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garik1379 [7]

Answer:

y = 1.44

Step-by-step explanation:

What are you aiming to do here?  Please share all instructions with each problem.

If you want to solve 4.5/y = 12.5/4 for y:  Multiply both sides by 4y:

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7 0
3 years ago
Solve the variable<br> -10+ s/1.5= -5
patriot [66]

Answer:

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2 years ago
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3 years ago
A student on a piano stool rotates freely with an angular speed of 2.85 rev/s . The student holds a 1.50 kg mass in each outstre
Vlad1618 [11]

Answer:r'=0.327 m

Step-by-step explanation:

Given

N=2.85 rev/s

angular velocity \omega =2\pi N=17.90 rad/s

mass of objects m=1.5 kg

distance of objects from stool r_1=0.789 m

Combined moment of inertia of stool and student =5.53 kg.m^2

Now student pull off his hands so as to increase its speed to 3.60 rev/s

\omega _2=2\pi N_2

\omega _2=2\pi 3.6=22.62 rad/s

Initial moment of inertia of two masses I_0=2mr_^2

I_0=2\times 1.5\times (0.789)^2=1.867

After Pulling off hands so that r' is the distance of masses from stool

I_0'=2\times 1.5\times (r')^2

Conserving angular momentum

I_1\omega =I_2\omega _2

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3 years ago
Please help find the perimeter?
erastovalidia [21]
Just use distance formula for each point and plug it in p=a+b+c
6 0
3 years ago
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