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amid [387]
2 years ago
9

C=(7,-4) and D= (-8,5) CD=?

Mathematics
1 answer:
prisoha [69]2 years ago
3 0

Answer:

Step-by-step explanation:

x_{1}=7 \ ; y_{1} = -4\\\\x_{2} = -8 \ ; y_{2}=5\\\\CD = \sqrt{(-8-7)^{2}+(5-[-4])^{2}}\\\\=\sqrt{(-15)^{2}+(5+4)^{2}}\\\\=\sqrt{225+(9)^{2}}\\\\=\sqrt{225+81}\\\\=\sqrt{306}\\\\=\sqrt{3*3*2*17}\\\\=3\sqrt{34}

Distance = \sqrt{(x_{2}-x_{1})^{2}-(y_{2}-y_{1})^{2}}

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Veronika [31]

Answer:

<h3>1) 5(7x^{2} - x + 8)</h3>

first box: 5 * 7 = 35

35 x^2

second box: 5 * -1 = -5

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third box: 5 * 8 = 40

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answer: 35x^{2} - 5x + 40

<h3>2) 2x(4x^2 + 3x + 6)</h3>

first box: 2x * 4x^2

2 * 4 = 8

x * x^2 = x^3

8x^3

second box: 2x * 3x

2 * 3 = 6

x * x = x^2

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third box: 2x * 6

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top left box: tp * 4p

p * p = p^2

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top right box: tp * - 6

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bottom left box: 5 * 4p

5 * 4 = 20

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bottom right box: 5 * - 6

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answer: 4tp^2 - 6tp + 20p - 11

<h3>4) (4a - 8)(8a - 1)</h3>

top left box: 4a * 8a

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a * a = a^2

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top right box: 4a * -1

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bottom left box: -8 * 8a

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bottom right box: -8 * - 1

-8 * - 1 = 8

8

32a^2 - 4a - 64a + 8

<em>combine like terms</em>

32a^2 - 68a + 8 = answer

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