Answer:
x= −1/3 y+5/3
Step-by-step explanation:
Let's solve for x.
y=−3x+5
Step 1: Flip the equation.
−3x+5=y
Step 2: Add -5 to both sides.
−3x+5+−5=y+−5
−3x=y−5
Step 3: Divide both sides by -3.
−3x
−3
=
y−5
−3
x=
−1
3
y+
5
3
We know that
if two lines are perpendicular
then
the slopes
m1*m2=-1
step 1
find the slope AB
A (0,2)
B (-3,-3)
m=(y2-y1)/(x2-x1)-----> m=(-3-2)/(-3-0)-----> m=-5/-3----> m1=5/3
step 2
find the slope CD
C (-4,1)
D (0,-2)
m=(y2-y1)/(x2-x1)-----> m=(-2-1)/(0+4)-----> m=--3/4----> m2=-3/4
step 3
multiply mi*m2
(5/3)*(-3/4)-----> -15/12
so
15/12 is not -1
therefore
AB is not perpendicular to CD
3x+4x+5x=54
12x=54
x=4.5
Plug in the value of x into all three segments.
AB= 3*4.5= 13.5
BC= 4*4.5= 18
AC= 5*4.5= 22.5
Answer: n≥4
Step-by-step explanation:
If you put the value of 4 as n and multiply it by three you will get twelve which satisfies the inequality. Anything larger than 4 will also satisfy the inequality. I really hope this answer helped tell me in the comments.
