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3 years ago

Did I get this right explain

Mathematics

1 answer:

Whitepunk [10]3 years ago

7 0

Yes its basically 4.4-4.5 so the answer is x=-0.1

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Given the relationship x2 + 3y2 =12, with y > 0 and dx, dt = 2 units/min., find the value of dy, dt at the instant y = 1 unit

matrenka [14]

$\bf x^2+3y^2=12\implies \stackrel{chain~rule}{2x\cfrac{dx}{dt}}+3 \stackrel{chain~rule}{\left(2y\cfrac{dy}{dt}\right)}=0
\\\\\\
2x\cfrac{dx}{dt}+6y\cfrac{dy}{dt}=0
\implies 
6y\cfrac{dy}{dt}=-2x\cfrac{dx}{dt}\implies \cfrac{dy}{dt}=\cfrac{-2x\frac{dx}{dt}}{
6y\frac{dy}{dt}}
\\\\\\
\boxed{\cfrac{dy}{dt}=-\cfrac{x\frac{dx}{dt}}{3y}}\\\\
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$\bf \textit{now, when y = 1, what is \underline{x}?}\qquad x^2+3y^2=12\implies x^2+3(1)^2=12
\\\\\\
x^2=9\implies x=\sqrt{9}\implies x=3\\\\
-------------------------------\\\\
\begin{cases}
y=1\\
x=3\\
\frac{dx}{dt}=2
\end{cases}\implies \cfrac{dy}{dt}=-\cfrac{3\cdot 2}{3\cdot 1}\implies \cfrac{dy}{dt}=-2$

7 0

3 years ago

Alejandro has gone to school StartFraction 5 Over 7 EndFraction of the last 35 days. Which expression can be used to determine t

Katarina [22]

Answer:

35 times StartFraction 5 Over 7 EndFraction

Step-by-step explanation:

Alejandro has gone to school (5/7) of the last 35 days.

We need to find the expression that can be used to determine the number of days Alejandro has gone to school.

$x=\dfrac{5}{7}\times 35\\\\=5\times 5\\\\=25$

So, the correct option is (b) "35 times StartFraction 5 Over 7 EndFraction".

6 0

3 years ago

Write a word problem that you can represent with the expression 8 divided by 2/3

antoniya [11.8K]

I had 8 tampons this morning but 2/3 of the girls in my class got their period and now I’m out of tampons

8 0

3 years ago

How do I determine which is y=-1/3x+2?

Jlenok [28]

Step-by-step explanation:

This is a linear equation in slope intercept form which is

$y = mx + b$

where m is the slope and b is the y intercept.

The equation

$y = - \frac{1}{3} x + 2$

Has a slope of -1/3 so this means that the slope will be decreasing. A negative linear equation increases as we go left. and decreases as we go right. The y intercept is 2. So this means the graph must pass through (0,2) and when x=0, y must be 2.

In other words, look for a line that the y values increase as we go left and decrease we go right. Also look for a point (0,2) and make sure the graph pass through it.

6 0

3 years ago

Write an equation for which 0 is a solution

masha68 [24]

Answer:

x-y=0

Hope this helped

4 0

2 years ago