3 years ago

Solve Word

Mathematics

1 answer:

alisha [4.7K]3 years ago

4 0

Answer:

40 girls, 88 people total

Step-by-step explanation:

boys : girls

6 : 5

48 : ?

6 x 8 = 48, 5 x 8 = 40

40 girls

48 + 40 = 88

88 people total

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Find an equation of the tangent line to the curve 2(x2+y2)2=25(x2−y2) (a lemniscate) at the point (−3,1). An equation of the tan

valina [46]

$2(x^2+y^2)^2=25(x^2-y^2)$

Let $y=y(x)$ , so that differentiating both sides wrt $x$ gives

$4(x^2+y^2)\left(2x+2y\dfrac{\mathrm dy}{\mathrm dx}\right)=25\left(2x-2y\dfrac{\mathrm dy}{\mathrm dx}\right)$

If $x=-3$ and $y=1$ , the above reduces to

$40\left(-6+2\dfrac{\mathrm dy}{\mathrm dx}\right)=25\left(-6-2\dfrac{\mathrm dy}{\mathrm dx}\right)\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac9{13}$

This is the slope of the tangent line, which has equation

$y-1=\dfrac9{13}(x+3)\implies\boxed{y=\dfrac{9x+40}{13}}$

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You and two friends visit a pizza shop. There are 15 toppings. 5 toppings are meat and the rest are vegetable. Each of you order

natta225 [31]

I think 25 %i could be wrong though

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3 years ago

Divide 405 in to the ratio 3:12<br> give answer in the form ... and ...

OLEGan [10]

Answer:

81:324

Step-by-step explanation:

3+12=15

405 div 15 =27

3 times 27 = 81

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81:324

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Need help asap and i will report any unnecessary comments

Inessa [10]

Firstly, divide 30 by 1425

Then, 1425/30 = 47.5

A Mixed number = A whole number + fraction

Your final answer = 47 1/2 trains

Hope this helps <3 Good luck with future exams!

P.S Fun Fact~~ The Mona Lisa has no eyebrows!

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