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3 years ago

Is (3,9) a solution of the system

Mathematics

1 answer:

Verdich [7]3 years ago

6 0

Yes it because any function can be a solution to any certain number of different systems

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TELL ME THE FORMULA FOR VOLUME AND SURFACE AREA OF PRISMS

Gelneren [198K]

Answer:

surfacevolume = 1/2 (bh) l

surfacearea = bh + pl

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3 years ago

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Easy math problems help!!!!

spayn [35]

Answer:

x = ±7

Step-by-step explanation:

$a^2+b^2=c^2$

$x^2+24^2=25^2$

$x^2+576=625$

$x^2=49$

x = ±7

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3 years ago

BRAINLIESTTTT ASAP!<br><br> please answer

romanna [79]

Simply add $b^{2}$ to both sides of the equation:

$a^{2} =c^{2} + b^{2}$

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3 years ago

Solve y'' + 10y' + 25y = 0, y(0) = -2, y'(0) = 11 y(t) = Preview

svetlana [45]

Answer: The required solution is

$y=(-2+t)e^{-5t}.$

Step-by-step explanation: We are given to solve the following differential equation :

$y^{\prime\prime}+10y^\prime+25y=0,~~~~~~~y(0)=-2,~~y^\prime(0)=11~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Let us consider that

$y=e^{mt}$ be an auxiliary solution of equation (i).

Then, we have

$y^prime=me^{mt},~~~~~y^{\prime\prime}=m^2e^{mt}.$

Substituting these values in equation (i), we get

$m^2e^{mt}+10me^{mt}+25e^{mt}=0\\\\\Rightarrow (m^2+10y+25)e^{mt}=0\\\\\Rightarrow m^2+10m+25=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow m^2+2\times m\times5+5^2=0\\\\\Rightarrow (m+5)^2=0\\\\\Rightarrow m=-5,-5.$

So, the general solution of the given equation is

$y(t)=(A+Bt)e^{-5t}.$

Differentiating with respect to t, we get

$y^\prime(t)=-5e^{-5t}(A+Bt)+Be^{-5t}.$

According to the given conditions, we have

$y(0)=-2\\\\\Rightarrow A=-2$

and

$y^\prime(0)=11\\\\\Rightarrow -5(A+B\times0)+B=11\\\\\Rightarrow -5A+B=11\\\\\Rightarrow (-5)\times(-2)+B=11\\\\\Rightarrow 10+B=11\\\\\Rightarrow B=11-10\\\\\Rightarrow B=1.$

Thus, the required solution is

$y(t)=(-2+1\times t)e^{-5t}\\\\\Rightarrow y(t)=(-2+t)e^{-5t}.$

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3 years ago

What is a slope on a graph

Schach [20]

<span> A line that never changes, so you can choose whatever two points you want and you will always get the same slope.

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3 0

4 years ago

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