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Kipish [7]
3 years ago
7

Which expression is equivalent to 3/4(x-5y)please help!!! ​

Mathematics
1 answer:
irakobra [83]3 years ago
8 0

Step-by-step explanation:

I think that is the right answer I hope ut helps

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I need help with #1
kolezko [41]
D. Because it corresponds to the angle to the left
5 0
2 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}.

6 0
3 years ago
Janelle wrote the matrix addition below. Which statement is true?
Sonja [21]

Option A is correct.

Step-by-step explanation:

We need to identify which statement is true in matrix addition.

In matrix addition we just add the corresponding elements.

In the options given only Option A is correct i.e, (n+4)-7  = 18

All other options have error in them.

In Option B there should be -12 instead of +12

In Option C there should be -11 instead of 11

In Option D we are not adding corresponding entries.

So, Option A is correct.

Keywords: Matrix addition

Learn More about Matrix Addition at:

  • brainly.com/question/10666510
  • brainly.com/question/4034547

#learnwithBrainly

6 0
3 years ago
Read 2 more answers
the temperature is already at 40 degrees it rises 4.5 degrees per minute how long will it take to get to 76 degrees​
Andrei [34K]

Answer:

It will take 8 minutes for the temperature to reach 76°

Step-by-step explanation:

The expression for the total temperature in degrees at time t can be written as;

T=I+EM

where;

T=total temperature

I=initial temperature

E=temperature increase per minute

M=number of minutes

This can also be written as;

total temperature=initial temperature+temperature increase per minute×number of minutes

In our case;

T=76°

I=40°

E=4.5°

M=m

replacing;

76=40+(4.5×m)

4.5 m=76-40=36

(4.5 m)/4.5=36/4.5

m=8

It will take 8 minutes for the temperature to reach 76°

7 0
3 years ago
Find the substitution 2x+3y=-5 and y=-x+5
tatuchka [14]

Answer: x = 20, y = -15

Step-by-step explanation:

Since we already know that y=-x+5, we can just substitute in that value of y into the other equation:

2x+3y=-5\\2x+3(-x+5)=-5\\2x-3x+15=-5\\-x=-5-15\\-x=-20\\x=20

with the value of x, we can find the value of y:

y=-x+5=-20+5=-15

3 0
2 years ago
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