Since R is the midmoint of QS that means that QR and RS are equal to each other. So first you need to find x. There are many different ways to set up the equation to solve for x, but I'll show you the easiest one:
QR+QS=RT+QR
(2x-4)+(2x-4)=(8x-43)+(2x-4)
Combine like terms:
4x-8=10x-47
Isolate Variable:
4x-8=10x-47
-4x -4x
6x-47=-8
Isolate Constant:
6x-47=-8
+47 +47
6x=39
Divide:
x=6.5
Check Your Answer:
(Plug in 6.5 as x)
(4(6.5)-8)=(8(6.5)-43)+(2(6.5)-4)
18=18
<span>The three equations can be written as 1) y = 2x - 5 ; 2) y = 2x - 3 and ;3) y = 2x + 5. Now, the slope can be found by slop intercept form of linear equation i.e. y = mx+b where m is the slope. From the above equations, we can see that all the the three have the same slope i.e. m = 2.</span>
Answer: hopefully this is what you need
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality form:
X < -6
Interval Notation:
(-♾, -6)