Since point M is the midpoint of LN, LM and MN are equivalent in length.
7x - 12 = 3x + 16 (LM=MN)
7x = 3x + 28
4x = 28
x = 7
Now that we know the value of x, we can find the value of LM by plugging the value in the equation.
LM = 7(7) - 12
LM = 49 - 12
LM = 37
You would have to first distribute the -2 to the x+3 which gives you -2x-6. Then you would subtract the 4 which gives you -2x-10 on the left side. Now you have the equation -2x-10>4x+30. Move the 4x to the other side giving you -6x-10>30. Now add the 10 from the other side which leaves you with -6x>40. Now remember when you divide by a negative in an inequality, you HAVE TO flip the sign giving you the answer of x<-20/3.
To solve this question, what you would need to do is add 30 to both sides of the equation and then divide by 9, to find the solution.
You can check if it is correct by substituting the same value back into the original equation and seeing if the left hand side is equal to the right hand side.
Answer:
To transform from polar coordinates into Cartesian coordinates we have:
x = r x cos(theta)
y = r x sin(theta)
r^2 = x^2 + y^2
=> r = 2*cos(theta)
<=> r = 2*(x/r)
<=> 2x = r^2
<=> 2x = x^2 + y^2
Hope this helps!
:)
