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3 years ago

Find the equation of the lines through the origin and at right angle to lines x^2-5xy+4y^2

Mathematics

1 answer:

dezoksy [38]3 years ago

7 0

Answer:

x^2-5xy+4y^2

x^2-2+3+4y^2

x=1

again

x=5

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Prove the trigonometric identity

Annette [7]

Answer:

Proved See below

Step-by-step explanation:

Man this one is a world of its own :D Just a quick question are you a fellow Add Math student in O levels i remember this question from back in the day :D Anyhow Lets get started

For this question we need to know the following identities:

$1+tan^{2}x=sec^2x\\\\1+cot^2x=cosec^2x\\\\sin^2x+cos^2x=1$

Lets solve the bottom most part first:

$1-\frac{1}{1-sec^2x} \\\\$

Take LCM

$1-\frac{1}{1-sec^2x} \\\\\frac{1-sec^2x-1}{1-sec^2x} \\\\\frac{-sec^2x}{1-sec^2x} \\\\\frac{-(1+tan^2x)}{-tan^2x}$

now break the LCM

$\frac{-1}{-tan^2x}+\frac{-tan^2x}{-tan^2x}\\\\\frac{1}{tan^2x}+1\\\\cot^2x+1$

because 1/tan = cot x

and furthermore,

$cot^2x+1\\cosec^2x$

now we solve the above part and replace the bottom most part that we solved with $cosec^2x$

$\frac{1}{1-\frac{1}{cosec^2x} } \\\\\frac{1}{1-sin^2x} \\\\\frac{1}{cos^2x}\\\\sec^2x$

Hence proved! :D

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3 years ago

Which number has the same value as 28 tens? 28 or 280

KIM [24]

28 because we are talking about TENS meaning there can only be 2 digits

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3 years ago

Find the area of a triangle with vertices (1,5), (1, -2), (3,-2).

igomit [66]

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Answer:

Step-by-step explanation:

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2 years ago

Read 2 more answers

Find the equation of the lines through the origin and at right angle to lines x^2-5xy+4y^2​

Find the equation of the lines through the origin and at right angle to lines x^2-5xy+4y^2