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3 years ago

-9+{-7-[-(4+1)+(5-9)}-3

Mathematics

1 answer:

maks197457 [2]3 years ago

6 0

I think it is -10 i hope this helps

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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

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

7 0

3 years ago

Which is the better buy, 7 pounds for $8.47 or 9 pounds for $11.07?

wel

Let us take the case of 7 pounds for $8.47 first.
7 pounds of a product costs = 8.47 dollars
Then
1 pound of the same product will cost = (8.47/7) dollars
= 1.21 dollars
Now let us take the case of 9 pounds for $11.07
9 pounds of a product costs = 11.07 dollars
Then
1 pound of the same product will cost = (11.07/9) pounds
= 1.23 dollars
So from the above deductions we can see that 9 pounds for $11.07 is a better buy than 7 pounds for $8.47. I hope the procedure is clear enough for you to understand. In future you can use this method for solving similar problems.

7 0

3 years ago

Read 2 more answers

Help pls will mark brainlist !! :)

Rufina [12.5K]

Answer:

144 cubic inches

Step-by-step explanation:

a=lxwxh a=6*6*4

8 0

3 years ago

Read 2 more answers

Lena purchased a prepaid phone card for $20. Long distance calls cost 21 cents a minute using this card, Lena used her card only

slega [8]

Answer:

37 minutes

Step-by-step explanation:

Lena has 20 dollars. 20 - 12.23 = 7.77

Lena has $7.77 dollars left.

We divide this by .21 to see how many minutes her call was.

7.77 ÷ .21 = 37

Rate as Brainliest and Thanks plz

5 0

3 years ago

5. Find the value of x in each of the following. 2/3=6/x. 4/7=x/21

nikitadnepr [17]

6/9 and 12/21
i think this is the answer your looking for

7 0

3 years ago