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4 years ago

Hi guys, need help for question 3 please!!! Struggling so much

Mathematics

1 answer:

mash [69]4 years ago

6 0

Answer:

Step-by-step explanation:

OA=OB=OC

∠A = ∠1

∠B = ∠2

∠A + ∠B + ∠C = 180°

∠A + ∠B + (∠1 + ∠2) = 180°

∠1 + ∠2 + (∠1 + ∠2) = 180° ... subtitution

2 x (∠1 + ∠2) = 180°

∠1 + ∠2 = 90°

∠ACB = 90°

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Rationalize the denominator of square root of negative 16 over open parentheses 1 plus i close parentheses plus open parentheses

emmasim [6.3K]

$\bf \cfrac{\sqrt{-16}}{(1+i)+(6+3i)}\implies \cfrac{\sqrt{-1\cdot 16}}{1+i+6+3i}\implies \cfrac{\sqrt{-1}\cdot \sqrt{16}}{7+4i}
\\\\\\
\cfrac{i\cdot \sqrt{4^2}}{7+4i}\implies \cfrac{4i}{7+4i}\impliedby 
\begin{array}{llll}
\textit{now, we'll multiply by the}\\
\textit{conjugate of the denominator}
\end{array}\\\\
-------------------------------\\\\$

$\bf \textit{and recall }\textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
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\textit{also recall that }i^2=-1
\\\\
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$\bf \cfrac{4i}{7+4i}\cdot \cfrac{7-4i}{7-4i}\implies \cfrac{4i(7-4i)}{(7+4i)(7-4i)}\implies \cfrac{28i-16i^2}{7^2-(4i)^2}
\\\\\\
\cfrac{28i-16(-1)}{49-(4^2i^2)}\implies \cfrac{28i+16}{49-[16(-1)]}\implies \cfrac{16+28i}{49+16}\implies \cfrac{16+28i}{65}
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\cfrac{16}{65}+\cfrac{28i}{65}$

5 0

4 years ago

2x + 3 = 5x - 2

Daniel [21]

Answer:

x3r9

Step-by-step explanation:

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3 years ago

Describe how to regroup to solve the subtraction problem below what is the difference 456-238

Tanzania [10]

Answer:

218

Step-by-step explanation:

456 - 238 =

Borrow 1 from 5 so number is 4 4 16 - 238=

16-8 = 8 in ones' place

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7 0

4 years ago

What could x equal in the equation 8|x| +6=86

solong [7]

Answer:

x=10, x=-10

Step-by-step explanation:

8|x| + 6 = 86

8|x| = 86 - 6

8|x| = 80

|x| = 80/8

|x| = 10

∴ x=10, x=-10

Remember that the absolute symbol turns all number inside of it positive, so |-10| = 10 and |10|=10 too.

5 0

4 years ago

Find the area of a rhombus with diagonals 9 ft. and 12 ft.

iogann1982 [59]

The answer is 54 sq.unit

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3 years ago

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