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2 years ago

Add the following complex numbers:

Mathematics

2 answers:

V125BC [204]2 years ago

6 0

Answer:

B. 7 - 9i

Step-by-step explanation:

1) Remove Parentheses.

2 - 8i + 5 - i

2) Add 2 and 5.

7 - 8i - i

3) Subtract i from -8i.

7 - 9i

Maurinko [17]2 years ago

3 0

Answer:

Option B

The answer is 7 – 9i

Step-by-step explanation:

(2 – 8i) + (5 – i)

2 – 8i + 5 – i

7 – 9i

Thus, The answer is 7 – 9i

-TheUnknownScientist 72

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2 years ago

12. In the given figure, RS is parallel to PQ, If RS = 3 cm, PQ = 6 cm and ar(∆TRS) = 15cm³, then ar (∆TPQ) = ? (a) 70 cm² (b) 5

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$\large\underline{\sf{Solution-}}$

Given that,

In triangle TPQ, 

RS || PQ,

RS = 3 cm,

PQ = 6 cm,

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So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

$\rm\implies \: \triangle TPQ \: \sim \: \triangle TRS \: \: \: \: \: \: \{AA \}$

Now, We know 

Area Ratio Theorem,

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$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)} = \dfrac{ {PQ}^{2} }{ {RS}^{2} }$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{ {6}^{2} }{ {3}^{2} }$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{36 }{9}$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = 4$

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Step-by-step explanation:

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