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2 years ago

if xy=c^2, prove that x^2 dx/dy+c^2=0

Mathematics

1 answer:

tatyana61 [14]2 years ago

7 0

Hello,

xy=c²==>y=c²/x
==>y'=dy/dx=-c²/x²==>x² dy/dx+c²=0 (there is a mistake)

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Plz help ASAP, tysm! Plz show ur work!

anygoal [31]

Answer:

Step-by-step explanation:

Given 3x - 2y = 0, which can be re-written as 3x = 2y, find the intercepts.

y-intercept: let x = 0 and find y. y = 0. So the y-intercept is (0, 0).

x-intercept: let y = 0 and find x. The x-intercept is (0, 0) also.

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2 years ago

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Points E, F, and D are located on circle C. Circle C is shown. Line segments E C and D F are radii. Lines are drawn from points

elena55 [62]

Answer:

Option (1). 34°

Step-by-step explanation:

From the figure attached, CE and CD are the radii of the circle C.

Central angle CED formed by the intercepted arc DE = 68°

Since measure of an arc = central angle formed by the intercepted arc

Therefore, m∠CED = 68°

Since m∠EFD = $\frac{1}{2}(m\angle ECD)$ [Central angle of an intercepted arc measure the double of the inscribed angle by the same arc]

Therefore, m∠EFD = $\frac{1}{2}(68)$

= 34°

Therefore, Option (1) 34° will be the answer.

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2 years ago

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30 POINTS! Monica paid sales tax of $1.50 when she bought a new bike helmet. if the sales tax rate was 5%, how much did the stor

avanturin [10]

Hmm... well, here ya go.

1.50 ÷ 0.05 = 30
So, the total is $30
As for the tax rate, including the total, it would be $31.50.

Hope I helped.

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2 years ago

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What are the zeros of the quadratic function f(x) = 6x^2 + 12x – 7?

strojnjashka [21]

Answer:

$x1=\frac{-2+\sqrt{26/3}}{2}$

$x2=\frac{-2-\sqrt{26/3} }{2}$

Step-by-step explanation:

To find the zeros of the quadratic function f(x)=6x^2 + 12x – 7 we need to factorize the polynomial.

To do so, we need to use the quadratic formula, which states that the solution to any equation of the form ax^2 + bx + c = 0 is:

$x=\frac{-b±\sqrt{b^{2}-4ac}}{2a}$

So, the first thing we're going to do is divide the whole function by 6:

6x^2 + 12x – 7 = 0 -> x^2 + 2x - 7/6

This step is optional, but it makes things quite easier.

Then we using the quadratic formula, where:

a=1, b= 2, c = -7/6.

Then:

$x=\frac{-2±\sqrt{2^{2}-4(1)(-7/6)}}{2}$

$x=\frac{-2±\sqrt{4 +14/3}}{2}$

$x=\frac{-2±\sqrt{26/3}}{2}$

So the zeros are:

$x1=\frac{-2+\sqrt{26/3}}{2}$

$x2=\frac{-2-\sqrt{26/3}}{2}$

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2 years ago

What new topics did Isaac Newton discover?

solong [7]

Newton's 3 Laws of Motion are probably the most recognized.
His universal law Gravitation.
He paved the way for advances in Integral and Differential Calculus.

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