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3241004551 [841]
1 year ago
15

Find the equation of the lien shown.

Mathematics
1 answer:
Mnenie [13.5K]1 year ago
7 0

Answer:

y = \frac{1}{2} x

Step-by-step explanation:

the equation of a line passing through the origin is

y = mx ( m is the slope )

calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 3) ← 2 points on the line

m = \frac{3-0}{6-0} = \frac{3}{6} = \frac{1}{2}

y = \frac{1}{2} x ← equation of line

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Answer:

1.  Identify the problem: Packaging boxes use too much material and create waste

2. What are the equations for the volume and surface area of a cube and rectangular prism?

Volume of a cube: Vcube = L x L x L = L3

Surface area of a cube: SAcube = 6 x (L x L) = 6L2

Volume of a rectangular prism: VRP = L x W x H = LWH

Surface area of a rectangular prism: SARP = 2 x (L x W) + 2 x (L x H) + 2 x (W x H) = 2(LW + LH + WH)

3. What is the difference in surface area of the packages below? (Note that they have the same volume.)

SAcube = 6L2

= 6 (20 cm)2

= 2,400 cm2

SARP = 2(LW + LH + WH) = 2 (20cm x 10cm + 20cm x 40cm + 10cm x 40cm) = 2,800 cm2

SARP – SAcube = 2,800 cm2

– 2,400cm2

= 400 cm

Step-by-step explanation:

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