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3 years ago

Where do I put the parentheses so the result matches the answer

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

7 0

The 2 to the power of 2 add the 4 will be in the parenthesis. This is just a tip for you, just try the parenthesis where you think is right and do the math. If it is not right then move the parenthesis.

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Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2 + 2xy − y2 + x = 20, (3

marin [14]

$\bf x^2+2x6-y^2+x=20\impliedby taking\ \cfrac{dy}{dx}\textit{ to both sides}
\\\\\\ 2x+2\left( y+x\frac{dy}{dx}\right)-2y\frac{dy}{dx}=0\impliedby \textit{common factor 2}
\\\\\\
2\left[ x+\left( y+x\frac{dy}{dx}\right)-y\frac{dy}{dx}\right]=0
\\\\\\ x+y+x\frac{dy}{dx}-y\frac{dy}{dx}=0\impliedby \textit{common factor }\frac{dy}{dx}
\\\\\\
\cfrac{dy}{dx}(x-y)=-x-y\implies \cfrac{dy}{dx}=\cfrac{-x-y}{x-y}\qquad 
\begin{cases}
x=3\\
y=4
\end{cases}\ then
\\\\
$

$\bf \cfrac{dy}{dx}=\cfrac{-3-4}{3-4}\implies \cfrac{dy}{dx}=7\\\\
-----------------------------\\\\
\textit{tangent equation at }\begin{cases}
x=3\\
y=4\\
m=7
\end{cases}
\\\\\\
y-4=7(x-3)\implies y=7x-21+4\implies y=7x-17$

6 0

3 years ago

HELPP please ??? I’ll appreciate it a lot .

victus00 [196]

Answer: $\sqrt{41}$

On a keyboard you would type sqrt(41)

===========================================

Work Shown:

$\text{point L} = (x_1, y_1) = (2,-1)\\\\\text{point N} = (x_2, y_2) = (7,-5)\\\\$

$d = \text{distance from L to N}\\\\d = \sqrt{ (x_1-x_2)^2 + (y_1-y_2)^2 } \ \text{ ... distance formula}\\\\d = \sqrt{ (2-7)^2 + (-1-(-5))^2 }\\\\d = \sqrt{ (2-7)^2 + (-1+5)^2 }\\\\d = \sqrt{ (-5)^2 + (4)^2 }\\\\d = \sqrt{ 25 + 16 }\\\\d = \sqrt{ 41 }\\\\$

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A slight alternative is to plot the point M(2,-5) to form right triangle LMN. The 90 degree angle is at point M.

The legs are of length LM = 4 and MN = 5, which are found by subtracting the x coordinates together and the y coordinates together (or you can count the spaces). From there, use the Pythagorean theorem to get the hypotenuse LN.

The distance formula is an altered version of the Pythagorean theorem.

5 0

3 years ago

Read 2 more answers

Indicate whether you would shade above or below the line for the following inequality.

lubasha [3.4K]

Answer:

above

Step-by-step explanation:

That is an greater than sign, you would shade above.

7 0

3 years ago

Find x. Round your answer to the nearest tenth of a degree.

balu736 [363]

Answer:

x ≈ 49.5°

Step-by-step explanation:

We use cos∅ to solve this:

cosx = 13/20

x = $cos^{-1}(13/20)$

x = 49.4584

7 0

4 years ago

Find 30% decrease from 95<br> 68.40<br> 63.20<br> 66.50

IgorC [24]

Answer:

66.50

stay home and be safe

7 0

3 years ago