Answer:
y=0.5x-1
Step-by-step explanation:
First you need to find the gradient of the line. Since x goes up by 0.5 every time y goes up by 1, the gradient is 0.5. Then you need to find the y intercept which is what x equals when y is equal to 0. When y equals zero x equals negative 1. If ylu use the equation y=mx+c where m=gradient and c=y intercept you get y=0.5x-1
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
The equation would be:
x - 9 < 4
Simplify (add 9)
Solution: x < 13
Answer:
3 and 4.
Step-by-step explanation:
3 * 2 *2 = 12.
So 3 and 4 have an LCM of 12.
