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mafiozo [28]
4 years ago
14

Which region represents the solution to the given system of inequalities?

Mathematics
2 answers:
NeTakaya4 years ago
8 0

answer : option C

y>=2x-3

y<=-x+2

The graph of green line is y>=2x-3. We have >= symbol so we shade up.

The solution for this inequality is region A  and C

The graph of blue line is y<=-x+2.  We have <= symbol so we shade down.

The solution for this inequality is region C  and B

We combine both solutions

The common shaded part for both inequality is region C

So region C represents the solution to this system of inequalities

muminat4 years ago
5 0
Consider, pls, this option:
a) for y≥2x-3 it is A and C regions;
b) for y≤-x+2 it is B and C regions;
c) from both it is C region. 
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Answer:

Given

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Length, l = 12.5 cm

Breadth, b = 10cm

Height, h = 8 cm

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We have to find

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ii) Which box has the smaller total surface area and by how much?

Solution

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Lateral surface area of a cuboid = 2 (lh + bh)

= 2 (12.5 * 8 + 10 * 8) cm2

= 2 (100 + 80) cm2

= 360 cm2

So, the lateral surface area of the cubical box is greater than cuboidal box by (400 cm2 – 360 cm2) which is 40 cm2.

(ii)

Total surface area of a cube = 6 * (edge)2

= 6 * 102 cm2

= 600 cm2

Total surface area of cuboid = 2 (lb + bh + lh)

= 2 (12.5 * 10 + 10 * 8 + 12.5 * 8) cm2

= 2 (125 + 80 + 100) cm2

= 610 cm2

Therefore, the total surface area of the cuboidal box is greater than the cubical box by (610 cm2 – 600 cm2) which is 10 cm2.

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