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2 years ago

Solve the simultaneous equation 3x²-xy=0, 2y-5x=1

Mathematics

1 answer:

White raven [17]2 years ago

6 0

Answer:

exact Form:(0,),(1,3)

Equation Form: ( 0, )

x=1 y=3

Step-by-step explanation:

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2 years ago

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Find the angles between -pi and pi that satisfy: (−√3) sin(v)+cos(v)=√3

MAXImum [283]

Observe that

$\sin\left(\dfrac\pi6-v\right)=\sin\dfrac\pi6\cos v-\cos\dfrac\pi6\sin v=\dfrac12\cos v-\dfrac{\sqrt3}2\sin v$

In the original equation, divide both sides by $\dfrac12$ :

$-\sqrt3\sin v+\cos v=\sqrt3\implies\dfrac12\cos v-\dfrac{\sqrt3}2\sin v=\dfrac{\sqrt3}2$

$\implies\sin\left(\dfrac\pi6-v\right)=\dfrac{\sqrt3}2$

Next,

$\sin x=\dfrac{\sqrt3}2\implies x=\dfrac\pi3+2n\pi,x=\dfrac{2\pi}3+2n\pi$

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$\sin\left(\dfrac\pi6-v\right)\implies v=-\dfrac\pi6-2n\pi,v=-\dfrac\pi2-2n\pi$

Fix $n=0$ to ensure $-\pi$ , so that

$v=-\dfrac\pi6,v=-\dfrac\pi2$

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3 years ago

Which is the simplified form of the expression (6^-2•6^5)^-3

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Answer:

Step-by-step explanation:

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2 years ago

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There is a 5% sales tax on clothing at your favorite store you've gone shopping 4 times how much tax did you pay each time ?

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2 years ago

How much money invested at 7% compounded continuously for 6 years will yield $500?

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Answer:

$328.52

Step-by-step explanation:

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1 year ago

Solve the simultaneous equation 3x²-xy=0, 2y-5x=1​

Solve the simultaneous equation 3x²-xy=0, 2y-5x=1