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3 years ago

Which property allows you to write the expression (3 + 7i) + (8 − 6i) as (8 − 6i) + (3 + 7i)?

Mathematics

1 answer:

rodikova [14]3 years ago

3 0

Answer:

3+7i

Step-by-step explanation:

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MAVERICK [17]

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Triangle ABC has vertices A(0,0), B(0,4), and C(3,0). Write the equation for the line containing altitude AR in standard...

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3 years ago

Use less than, equal to, or greater than to complete this statement: The sum of the measures of the exterior angles of a regular

Sladkaya [172]

Answer:

Greater than.

Step-by-step explanation:

6 0

2 years ago

Selecting 2 fully charged batteries in a row from a large batch in which 6 % of the batteries are dead

Xelga [282]

The probability of s<span>electing 2 fully charged batteries in a row from a large batch in which 6% of the batteries are dead is given by:

$P(2)=(1-0.06)^2=(0.94)^2=0.8836$ </span>

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3 years ago

Evaluate the line integral, where c is the given curve. (x + 9y) dx + x2 dy, c c consists of line segments from (0, 0) to (9, 1)

viktelen [127]

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=\int_C\langle x+9y,x^2\rangle\cdot\underbrace{\langle\mathrm dx,\mathrm dy\rangle}_{\mathrm d\mathbf r}$

The first line segment can be parameterized by $\mathbf r_1(t)=\langle0,0\rangle(1-t)+\langle9,1\rangle t=\langle9t,t\rangle$ with $0\le t\le1$ . Denote this first segment by $C_1$ . Then

$\displaystyle\int_{C_1}\langle x+9y,x^2\rangle\cdot\mathbf dr_1=\int_{t=0}^{t=1}\langle9t+9t,81t^2\rangle\cdot\langle9,1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(162t+81t^2)\,\mathrm dt$
$=108$

The second line segment ( $C_2$ ) can be described by $\mathbf r_2(t)=\langle9,1\rangle(1-t)+\langle10,0\rangle t=\langle9+t,1-t\rangle$ , again with $0\le t\le1$ . Then

$\displaystyle\int_{C_2}\langle x+9y,x^2\rangle\cdot\mathrm d\mathbf r_2=\int_{t=0}^{t=1}\langle9+t+9-9t,(9+t)^2\rangle\cdot\langle1,-1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(18-8t-(9+t)^2)\,\mathrm dt$
$=-\dfrac{229}3$

Finally,

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=108-\dfrac{229}3=\dfrac{95}3$

5 0

3 years ago

goldfiish [28.3K]

Answer:

0.05555555555

Step-by-step explanation:

usless you flip it around then it would be 2 cause 1/6 / 3 = .0555555555555 because the 1/6 butif they want u to flip it then it would be 6/3=2

6 0

3 years ago