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VashaNatasha [74]
10 months ago
5

-6d=-42 can you help me solve please

Mathematics
1 answer:
eduard10 months ago
5 0

Given the equation :

-6d=-42

So, to find d , divide both sides by ( -6 )

So,

\begin{gathered} \frac{-6d}{-6}=\frac{-42}{-6} \\  \\ d=7 \end{gathered}

Note: when we divide two negative numbers, the result will be a positive number

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Evaluate the line integral, where C is the given curve. (x + 4y) dx + x2 dy, C C consists of line segments from (0, 0) to (4, 1)
zubka84 [21]

Parameterize the line segments (call them C_1 and C_2, respectively, by

\vec r_1(t)=(1-t)(0,0)+t(4,1)=(4t,t)

\vec r_2(t)=(1-t)(4,1)+t(5,0)=(4+t,1-t)

both with 0\le t\le1. Then

\displaystyle\int_C(x+4y)\,\mathrm dx+x^2\,\mathrm dy

=\displaystyle\int_0^1\bigg((4t+4t)(4)+(4t)^2(1)\bigg)\,\mathrm dt+\int_0^1\bigg((4+t+4(1-t))(1)+(4+t)^2(-1)\bigg)\,\mathrm dt

=\displaystyle\int_0^115t^2+21t-8\,\mathrm dt=\boxed{\frac{15}2}

6 0
3 years ago
Byron is conducting an experiment to determine whether a new medication is effective in reducing coughing. He finds 1,200 volunt
hammer [34]

Answer:

The medication is effective, but may take some time to work its way to the immune system

Step-by-step explanation:

3 0
2 years ago
Please help me it’s due today at 3:00pm will mark brainiest please help me please
tensa zangetsu [6.8K]

Answer: 83

Step-by-step explanation:

(88+92+87+x)/4 = 90

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5 0
3 years ago
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If a+b+c =0 show that a³+b³+c³= 3abc
slega [8]

Answer:

Step-by-step explanation:

a+b+c=0, a+b=-c,a+c=-b, b+c=-a

(a+b+c)^3=(a+b+c)^2*(a+b+c)=(a^2+b^2+c^2+2ab+2ac+2bc)*(a+b+c)=

a^3+ab^2+ac^2+2a^2b+2a^2c+2abc+a^2b+b^3+bc^2+2ab^2+2abc+2b^2c+a^2c+b^2c+c^3+2abc+2ac^2+2bc^2=a^3+b^3+c^3+3a^2b+3a^2c+3ac^2+3ab^2+3bc^2+3b^2c+6abc=

a^3+b^3+c^3+3a^2*(b+c)+3c^2(a+b)+3b^2(a+c)+6abc=

a^3+b^3+c^3+3a^2*(-a)+3c^2*(-c)+3b^2*(-b)+6abc=

a^3+b^3+c^3-3a^3-3c^3-3b^3+6abc=

6abc-2a^3-2b^3-2c^3=2(3abc-a^3-b^3-c^3)=

2*[3abc-(a^3+b^3+c^3)]=0

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3 years ago
Multiple Choice question
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My answer has to be B
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