Perpendicular lines have slopes that multiply to -1
y=mx+b
slope=m
y=5x+3
5=slope
5 times what=-1
divide both sides by 5
what=-1/5
the equation of a line that passes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
given
m=-1/5
point=(-1,-1)
y-(-1)=-1/5(x-(-1))
y+1=-1/5(x+1)
y+1=-1/5x-1/5
y=-1/5x-6/5
1/5x+y=-6/5
x+5y=-6
the euation is
y+1=-1/5(x+1) or
y=-1/5x-6/5 or
x+5y=-6 (all same equation but different forms)
Answer:
$ 327.08
Step-by-step explanation:
Let x = width of the container,
Then Length of the container = 2x
Let h = height of the container,
volume of the container can be calculated as length × width × height
= 2x × x × h
= 2x² h
Then we can say Volume =
= 2x² h=10
If we simplify inorder to get h
We have h= 5/x²
Then the area= (2L×h) +(2xh)
Where L is lenght
x= wish
h= height
= 2× 2x × h+ x× h
= 4x× 5/x + 2x × 5/x
Area = 30/x
Now, the area of the base = length × width
But from question, for the base costs $20 per square meter. Material for the sides costs $12 per square meter
Then the cost C(x)= 2x²× 20+30/x ×12
C(x)= 40x²+35/x²
If we differenciate wrt x we have
C(x)= 80-360/x²
If we equate C(x)=0the
80=360/x²
x= 1.651
If substitute to C(x)= 40x²+35/x²
C(x) = 40(1.651)² + 35/(1.651)²
We have cost= 327.08
here are 3 examples for you :P
22=22
11x2=22
=22
Hope Your Thanksgiving Went Well, Here's Some Help Cleaning Up
-TheKoolKid1O1
Answer:
Step-by-step explanation:
Hope this helps u !!