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3 years ago

Simultaneous equations 2x+4y=1 3x+5y=7

Mathematics

1 answer:

leonid [27]3 years ago

3 0

Answer:

x = 11.5, y = -5.5.

As an ordered pair this is (11.5, -5.5).

Step-by-step explanation:

2x+4y=1 Multiply this by 3:

3x+5y=7 Multiply this by -2.

6x + 12y = 3

-6x - 10y = -14 Adding these 2 equations:

0 + 2y = -11.

y = -11/2

y = -5.5.

Now plug this into the first equation:

2x + 4(-5.5) = 1

2x = 1 + 22

x = 23/2

x = 11.5.

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d) Total Surface Area = $87.6\ mm^{2}$

Step-by-step explanation:

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Height of lateral face (triangular) = 8mm

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b) To find area of one lateral surface:

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c) To find the lateral surface area:

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Hence, their areas will also be same. So,

$\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}$

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>

$\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}$

Hence,

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

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