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2 years ago

What is the answer to this? i can’t figure it out.

Mathematics

1 answer:

Svetach [21]2 years ago

8 0

9514 1404 393

Answer:

25 +0i

Step-by-step explanation:

The conjugate of a complex number is that number with the sign of the imaginary part reversed.

For z = -3+4i, its conjugate z* is -3-4i. The product of z and z* is ...

(-3 +4i)(-3 -4i) = -3(-3 -4i) +4i(-3 -4i)

= 9 +12i -12i -16i² = 9 +16 = 25

The real part of the product is 25; the imaginary part is 0.

(-3 +4i)(-3 -4i) = 25 +0i

_____

You may have noticed that (z)(z*) = |z|², the sum of the squares of the real and imaginary parts. It is always a non-negative real number.

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Evaluate the line integral, where C is the given curve. (x + 6y) dx + x2 dy, C C consists of line segments from (0, 0) to (6, 1)

Dima020 [189]

Split $C$ into two component segments, $C_1$ and $C_2$ , parameterized by

$\mathbf r_1(t)=(1-t)(0,0)+t(6,1)=(6t,t)$

$\mathbf r_2(t)=(1-t)(6,1)+t(7,0)=(6+t,1-t)$

respectively, with $0\le t\le1$ , where $\mathbf r_i(t)=(x(t),y(t))$ .

We have

$\mathrm d\mathbf r_1=(6,1)\,\mathrm dt$

$\mathrm d\mathbf r_2=(1,-1)\,\mathrm dt$

where $\mathrm d\mathbf r_i=\left(\dfrac{\mathrm dx}{\mathrm dt},\dfrac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt$

so the line integral becomes

$\displaystyle\int_C(x+6y)\,\mathrm dx+x^2\,\mathrm dy=\left\{\int_{C_1}+\int_{C_2}\right\}(x+6y,x^2)\cdot(\mathrm dx,\mathrm dy)$

$=\displaystyle\int_0^1(6t+6t,(6t)^2)\cdot(6,1)\,\mathrm dt+\int_0^1((6+t)+6(1-t),(6+t)^2)\cdot(1,-1)\,\mathrm dt$

$=\displaystyle\int_0^1(35t^2+55t-24)\,\mathrm dt=\frac{91}6$

6 0

3 years ago

the area of the top of a rectangular table is 323 square feet. If the length of the table is 19 feet , what is the width

sergejj [24]

Answer:

hello :

the area is : A= w ×l ... w : the width l : the length

A = 323 l = 19 w ?

l = A/w

l = 323/ 19

l = 17 feet

4 0

3 years ago

Can someone please help???? BASIC ALGEBRA problem

user100 [1]

Answer:

3. 9x+5+x-7=25

4. 10x-2=25

5. 10x=27

Step-by-step explanation:

3. 9x+5+x-7=25

4. 10x-2=25

10x=25+2

5. 10x=27

x=27÷10

x=2.7

7 0

3 years ago

frank reasoned that in the number 0.555, the valueof the 5 in the thousandths place is ten times the value of the 5 in the hundr

ollegr [7]

The reasoning of Frank is not correct. The value of 5 is the thousandths place is 1/10 times the value of 5 in the hundredths place instead of being 10 times.

In the question, we are given the number 0.555.

We can write it as:-

0.555 = 0.500 + 0.050 + 0.005

0.500 is the value of tenths place

0.050 is the value of hundredths place

0.005 is the value of thousandths place

We know that,

0.050*(1/10) = 0.050/10 = 0.005

Hence, the value of 5 is the thousandths place is 1/10 times the value of 5 in the hundredths place.

To learn more about thousandths place, here:-

brainly.com/question/21467438

#SPJ4

7 0

2 years ago

HURRY PLEASE!!! I NEED TO TURN THIS IN SOON i need an explanation too.

Dominik [7]

Answer:

X = 30°, y = 15° and z = 150°.

Reason: Look below.

Step-by-step explanation:

Hey there!

When we look into the figure, we find that;

For x:

x+ 2x + 90° = 180° {Being linear pair}

or, 3x = 180°-90°

or, 3x = 90°

or, x= 90°/3

Therefore, X = 30°.

For y :

2y = x = 30° {Alternate angles are equal}

or, 2y = 30°

y = 30°/2

Therefore, y = 15°

For z:

2y + z = 180° { Being linear pair}

or, 30°+z = 180°

or, z = 180°-30°

or, z = 150°

Therefore, z = 150°.

Hope it helps...

6 0

2 years ago