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Anna007 [38]
3 years ago
10

Dejah is proving that perpendicular lines have slopes that are opposite reciprocals. She draws line s and labels two points on t

he line as (−a, 0) and (0, b).
Enter the answers, in simplest form, in the boxes to complete the proof.

Mathematics
2 answers:
NISA [10]3 years ago
6 0

Answer:

  • b/a; (b, 0); -a/b; -1

Step-by-step explanation:

<u>Given:</u>

Slope of Line S - (b - 0)/(0 - (-a)) = b/a

<u>Remember the clockwise rule:</u>

(-a, 0) → (0, a)

(0, b) → (b, 0)

Slope of line T - (0- a)/(b - 0) = -a/b = -a/b

The product of slopes: b/a × (-a/b) =  -1

So, finally, our answer is:

  • b/a; (b, 0); -a/b; -1

Carry On Learning!

rusak2 [61]3 years ago
5 0

Answer:

  • b/a; (b, 0); -a/b; -1

Step-by-step explanation:

<u>Slope of line s:</u>

  • (b - 0)/(0 - (-a)) = b/a

<u>Rotation 90 clockwise rule:</u>

  • (-a, 0) → (0, a)
  • (0, b) → (b, 0)

<u>The slope of line t:</u>

  • (0- a)/(b - 0) = -a/b = -a/b

<u>The product of slopes:</u>

  • b/a*(-a/b) = -1
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8090 [49]

Answer:

Options (2) and (3)

Step-by-step explanation:

Let, \sqrt{-8+8i\sqrt{3}}=(a+bi)

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By comparing both the sides of the equation,

a² - b² = -8 -------(1)

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a = \frac{4\sqrt{3}}{b}

By substituting the value of a in equation (1),

(\frac{4\sqrt{3}}{b})^2-b^2=-8

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48 - b⁴ = -8b²

b⁴ - 8b² - 48 = 0

b⁴ - 12b² + 4b² - 48 = 0

b²(b² - 12) + 4(b² - 12) = 0

(b² + 4)(b² - 12) = 0

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For b = ±2i,

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a = \frac{4\sqrt{3}}{\pm 2\sqrt{3}}

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Options (2) and (3) are the correct options.

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3 years ago
Cual de estos utiliza la propiedad distributiva para mostrar la forma expandida de la expresion: -4 . (-5 + 3)
mr Goodwill [35]

Respuesta:

8

Explicación paso a paso:

Si A, B y C son números enteros, según la propiedad distributiva;

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3 0
2 years ago
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Answer:

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Now is we multiply 19.84 by 3, we get the total amount of days which is 59.52

I hope I helped and have a wonderful day!

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Luba_88 [7]

Answer:

  C.  postulate; theorem

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