Answer:
11x+y = -28
Step-by-step explanation:
We have two points so we can find the slope
m = (y2-y2)/(x2-x1)
= (-6-5)/ (-2--3)
= -11(-2+3)
= -11/1
The slope is -11
We can use point slope to make an equation
y-y1 = m (x-x1)
y-5 = -11(x--3)
y -5 = -11(x+3)
Distribute
y-5 = -11x-33
Add 5 to each side
y-5+5 = -11x-33+5
y = -11x-28
Add 11x to each side
11x+y = -11x+11x-28
11x+y = -28
This is the standard form of a line
Answer:
see graph
Step-by-step explanation:
to find points on the graph, enter in x values and find y.
3|-4|+9 = 21 (-4, 21)
3|2|+9 = 15 (2, 15
1) We calculate the volume of a metal bar (without the hole).
volume=area of hexagon x length
area of hexagon=(3√3 Side²)/2=(3√3(60 cm)²) / 2=9353.07 cm²
9353.07 cm²=9353.07 cm²(1 m² / 10000 cm²)=0.935 m²
Volume=(0.935 m²)(2 m)=1.871 m³
2) we calculate the volume of the parallelepiped
Volume of a parallelepiped= area of the section x length
area of the section=side²=(40 cm)²=1600 cm²
1600 cm²=(1600 cm²)(1 m² / 10000 cm²=0.16 m²
Volume of a parallelepiped=(0.16 m²)(2 m)=0.32 m³
3) we calculate the volume of a metal hollow bar:
volume of a metal hollow bar=volume of a metal bar - volume of a parallelepiped
Volume of a metal hollow bar=1.871 m³ - 0.32 m³=1.551 m³
4) we calculate the mass of the metal bar
density=mass/ volume ⇒ mass=density *volume
Data:
density=8.10³ kg/m³
volume=1.551 m³
mass=(8x10³ Kg/m³ )12. * (1.551 m³)=12.408x10³ Kg
answer: The mas of the metal bar is 12.408x10³ kg or 12408 kg
Distance traveled in 3 hrs was (speed in mph)(3 hrs)
Then s(3 hrs) + 12 mi = 132 mi.
Therefore, 3s = 120, and s = 120 miles / 3 hrs = 40 mph (answer)
A=226.19 A=2πrh+2πr2=2·π·4·5+2·π·42≈226.19467
