Consider the following set of equations:
Equation C: y = 2x + 6
Equation D: y = 2x + 2
Which of the following best describes the solution to the given set of equations? (4 points)
a
No solution
b
One solution
c
Two solutions
d
Infinite solutions
Answer:
\red{\maltese}\bf \: \underline{ Question} :✠
Question
:
⠀⠀⠀⠀⠀▪︎⠀Write down all the formulas of chapter MOTION ?
Answer :
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀Formulas related to Chapter MOTION :
\begin{gathered}\qquad\sf 1 .\: Average \:\:Speed \: \:=\: \dfrac{ Total \:Distance \:Travelled \:}{Total \:Time \:Taken \:}\\\\\end{gathered}
1.AverageSpeed=
TotalTimeTaken
TotalDistanceTravelled
\begin{gathered}\qquad\sf 2 .\: Average \:\:Velocity \: \:=\: \dfrac{ Displacement \:}{Change\:in \:Time \: \:}\\\\\end{gathered}
2.AverageVelocity=
ChangeinTime
Displacement
\begin{gathered}\qquad\sf 3 .\: Acceleration \: \:=\: \dfrac{ (v)\: Final \:Velocity \:-\:(u)\:Initial \:Velocity \:}{\:Time \: \:}\\\\\end{gathered}
3.Acceleration=
Time
(v)FinalVelocity−(u)InitialVelocity
\begin{gathered}\qquad\sf 4 .\: Momentum \:(p)\: \:=\: Mass\:(m)\: \times \:Velocity \:(v)\: \\\\\end{gathered}
4.Momentum(p)=Mass(m)×Velocity(v)
\begin{gathered}\qquad\sf 5 .\: Displacement \:\: \:=\: Final \:Position \:- \:Initial \:Position \: \\\\\end{gathered}
5.Displacement=FinalPosition−InitialPosition
⠀⠀⠀⠀⠀Now , THREE EQUATIONS of MOTION :
First Equation of Motion :
\qquad \sf \: v\:\:=\:\;u \:+\: at \:\:v=u+at
Second Equation of motion :
\qquad \sf \: v^2\:\:=\:\;u^2 \:+\: 2as \:\:v
2
=u
2
+2as
Third Equation of Motion :
\qquad \sf \: s\:\:=\:\;ut \:+\: \dfrac{1}{2}at^2 \:\:s=ut+
2
1
at
2
⠀⠀⠀⠀⠀Here , s is the Displacement, u is the Initial velocity, v is the final velocity, a is the Acceleration & T is the time of motion .
⠀⠀⠀⠀⠀Now , According to Principle of CONSERVATION of MOMENTUM :
\begin{gathered}\qquad \qquad \boxed{\qquad\underline { \bf m_1 u_1 + m_2 u_2 = m_1 v_1 + m_2 v_2}} \\\\\end{gathered}
m
1
u
1
+m
2
u
2
=m
1
v
1
+m
2
v
2
⠀⠀⠀⠀⠀Here , \bf m_1m
1
is the mass of Object 1 , \bf m_2m
2
is the mass of Object 2 , \bf u_1u
1
is the Initial velocity of object 1 \bf u_2u
2
is the Initial velocity of object 2 , \bf v_1v
1
is the final velocity of Object 1 & \bf v_2v
2
is the Final velocity of object 2 .