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densk [106]
2 years ago
14

Please help with #12 im confused that is the key but i dont get it

Mathematics
2 answers:
Alex2 years ago
8 0

Using subtraction of perfect squares, it is found that the result of the expression is of 184.

<h3>What is subtraction of perfect squares?</h3>

It is represented by the following identity:

(a - b)(a + b) = a^2 - b^2

In this problem, the expression is:

(8\sqrt{3} - 2\sqrt{2})(8\sqrt{3} + 2\sqrt{2})

Hence, applying the identity:

(8\sqrt{3} - 2\sqrt{2})(8\sqrt{3} + 2\sqrt{2}) = (8\sqrt{3})^2 - (2\sqrt{2})^2 = 64(3) - 4(2) = 192 - 8 = 184

Hence, the result of the expression is of 184.

To learn more about subtraction of perfect squares, you can take a look at  brainly.com/question/16948935

Svetllana [295]2 years ago
4 0

Given Equation

\boxed{ \tt \: (8 \sqrt{3}  - 2 \sqrt{2} )(8 \sqrt{3}   + 2 \sqrt{2})}

Step by step expansion:

\dashrightarrow \sf \: (8 \sqrt{3}  - 2 \sqrt{2} )(8 \sqrt{3}   + 2 \sqrt{2})

\\  \\

\dashrightarrow \sf \: (8 \sqrt{3})^{2}  - (2 \sqrt{2}  {)}^{2}

Reason:

(a + b)(a - b) = a²- b²

\\  \\

\dashrightarrow \sf \: (8 {}^{2}  \times  { \sqrt{3} }^{2} )- (2 \sqrt{2}  {)}^{2}

\\  \\

\dashrightarrow \sf \: (64  \times 3 ) - (2 \sqrt{2}  {)}^{2}

\\  \\

\dashrightarrow \sf \: (64  \times 3 ) - (2 {}^{2} \times   \sqrt{2}  {}^{2}  {)}

\\  \\

\dashrightarrow \sf \: 192- 8

\\  \\

\dashrightarrow \sf \: 184

\\  \\

~BrainlyVIP ♡

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AURORKA [14]
I'm going to assume the crust covered by the dosenot matter because the total surface area cannot be found without the depth of the pie.

So the surface are is the area of the top of the pie, the top of the pie is circular and is equal to 2\pir²

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D=12
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With the raduis the area can be found
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If the pie cost 10.99, the cost per inch can be found by dividing the area by cost

cost/inch =128 \pi/10.99
cost/inch =11.64\pi
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