What is true about angles that are complementary to the same angle

1 answer:

7 0

I believe they are all equivalent

Ex.). If angles A, B, and C are all complementary to an angle that is 30 degrees, then all three would be 60 degrees (60+30=90)

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How do I solve this?

KengaRu [80]

Answer with Step-by-step explanation:

The given differential euation is

$\frac{dy}{dx}=(y-5)(y+5)\\\\\frac{dy}{(y-5)(y+5)}=dx\\\\(\frac{A}{y-5}+\frac{B}{y+5})dy=dx\\\\\frac{1}{100}\cdot (\frac{10}{y-5}-\frac{10}{y+5})dy=dx\\\\\frac{1}{100}\cdot \int (\frac{10}{y-5}-\frac{10}{y+5})dy=\int dx\\\\10[ln(y-5)-ln(y+5)]=100x+10c\\\\ln(\frac{y-5}{y+5})=10x+c\\\\\frac{y-5}{y+5}=ke^{10x}$

where

'k' is constant of integration whose value is obtained by the given condition that y(2)=0\\

$\frac{0-5}{0+5}=ke^{20}\\\\k=\frac{-1}{e^{20}}\\\\\therefore k=-e^{-20}$

Thus the solution of the differential becomes

$\frac{y-5}{y+5}=e^{10x-20}$

5 0

3 years ago

Read 2 more answers

Need help!!! Thank you to whoever answers

djyliett [7]

<h3>Answer: D) y+3</h3>

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Explanation:

Point A is located at (3,1). Point A' is located at (-5,4)

To move from A to A', we'll do two things:

Move 8 units to the left
Move 3 units up

The "8 units to the left" portion has us go from x to x-8

The "3 units up" part involves y becoming y+3

So that's how we get the translation rule $(x,y) \to (x-8,y+3)$ . The x-8 portion is already filled in for us. The missing part is y+3 which is the final answer (choice D).