Answer:
(4, 5 )
Step-by-step explanation:
Given the 2 equations
y = x + 1 → (1)
x + 2y = 14 → (2)
Substitute y = x + 1 into (2)
x + 2(x + 1) = 14 ← distribute and simplify left side
x + 2x + 2 = 14
3x + 2 = 14 ( subtract 2 from both sides )
3x = 12 ( divide both sides by 3 )
x = 4
Substitute x = 4 into (1) for corresponding value of y
y = 4 + 1 = 5
Solution is (4, 5 )
y + 11 = –2(x + 1.5)
y=mx+b
multiply the bracket by -2
(-2)(x)=-2x
(-2)(1.5)=-3
y+11=-2x-3
move +11 to the other side
sign changes from +11 to -11
y+11-11=-2x-3-11
y=-2x-14
m is also the slope
b= y-intercept
Answer:
y-intercept=-14
1)volume of the pipeline
The pipeline is a cylinder, therefore;
Volume (cylinder)=πr²h
r=radius
h=height of the cylinder
diameter=6 in*(1 ft / 12 in)=0.5 ft
raius=diameter / 2=0.5 ft / 2=0.25 ft.
height=5280 ft
Volume (pipeline)=π(0.25 ft)²(5280 ft)=330π ft³≈1036.73 ft³.
2) we calculate the number of barrel
1 mile of oil in this pipeline is 330π ft³ of oil.
1 barrel of crude------------------5.61 ft³
x----------------------------------330π ft³
x=(1 barrel*330π ft³) / 5.61 ft³=184.8 barrels
3) we calculate the price.
1 barrel---------------$100
184.8 barrels---------- x
x=(184.8 barrels * $100) / 1 barrel=$18,480
Solution: ≈$18,480
I think is Y=5x+20
Hope you get it right!
:D
Answer:The base of the ladder should be placed so that it is one foot away from the building for every four feet of hight to where the ladder rests against the building. This is known as the 4 to 1 rule.
Step-by-step explanation:
