Question 1:
For that point where all the lines intersect to be an incenter, the following must be true
4x - 1 = 6x - 5
Subtract both sides by 6x
-2x -1 = -5
Add both sides by 1
-2x = -4
Divide both sides by -2
x= 2
Question 2:
Plug in x=2 into any of the two equations.
You get 7.
Have an awesome day! :)
Three times the variable m minus four is equal to fourteen.
Another way could be:
Four less than three multiplied by m is equivalent to fourteen.
The first way I put it is simpler but if you really want to impress your teacher then I suggest going with the second way.
Also if you are looking to solve the equation then it would be:
3m - 4 = 14
+4 +4
------------
3m = 18
----- -----
3 3
m = 5
Hope that helped :-)
X - 1 < = 9 or 2x > = 24
x < = 9 + 1 x > = 24/2
x < = 10 x > = 12
closed circle on 10, shaded to the left
closed circle on 12, shaded to the right
________10_______12__________
<====X X======>
the X represents closed circles
8 - 7x^2 + 3 = 4x^2 - 1
8+3-7x^2 = 4x^2-1
11-7x^2 = 4x^2-1
B. Commutative property of addition
We can swap numbers and obtain the same results.
In this case, we swapped 8+3 and added them.
Answer =-0.7x +0
Find the gradient by y2-y1/x2-x1
-14 -7/ 20- -10
-21/30
-0.7
And plug in the coordinates to find the y intercept
7= -0.7 (-10) + c
C=0