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aivan3 [116]
3 years ago
9

6. Find the equation of the line that is parallel to the line 6x-3y+18=0 and that passes through the point (2,1). Write your ans

wer in the form of h=mx+c
Mathematics
1 answer:
Whitepunk [10]3 years ago
3 0

Answer:

y = 2x- 3

Step-by-step explanation:

1) D // D' , this means that mD = mD'

6x -3y +18 =0

6x +18 =3y

6x/3 +18/3 = y

2x +6 = y. m= 2

2) Find the equation of D'

y - y' = m (x - x')

y - 1 = 2(x - 2)

y-1 = 2x - 4

y = 2x-3

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UkoKoshka [18]

Answer:

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3 0
3 years ago
Write each complex number in rectangular form. a. 2(cos(135)+i sin(135)) b. 3(cos(120))+i sin(120)) c. 5(cos(5pi/4)+i sin(5pi/4)
bagirrra123 [75]
\bf r\left[ cos\left(  \theta \right)+i\ sin\left( \theta  \right) \right]\quad &#10;\begin{cases}&#10;x=rcos(\theta )\\&#10;y=rsin(\theta )&#10;\end{cases}\implies &#10;\begin{array}{llll}&#10;x&,&y\\&#10;a&&b&#10;\end{array}\implies a+bi\\\\&#10;-------------------------------\\\\&#10;2\left[ cos\left(  135^o\right)+i\ sin\left( 135^o\right) \right]\impliedby r=2\qquad \theta =135^o&#10;\\\\\\&#10;2\left( -\frac{\sqrt{2}}{2} \right)+i\ 2\left( \frac{\sqrt{2}}{2}\right)\implies -\sqrt{2}+\sqrt{2}\ i

\bf -------------------------------\\\\&#10;3\left[ cos\left(  120^o\right)+i\ sin\left( 120^o\right) \right]\impliedby r=3\qquad \theta =120^o&#10;\\\\\\&#10;3\left( -\frac{1}{2} \right)+i\ 3\left( \frac{\sqrt{3}}{2}\right)\implies -\frac{3}{2}+\frac{3\sqrt{3}}{2}\ i

\bf \\\\&#10;-------------------------------\\\\&#10;5\left[ cos\left(  \frac{5\pi }{4}\right)+i\ sin\left( \frac{5\pi }{4}\right) \right]\impliedby r=5\qquad \theta =\frac{5\pi }{4}&#10;\\\\\\&#10;5\left( -\frac{\sqrt{2}}{2} \right)+i\ 5\left( -\frac{\sqrt{2}}{2}\right)\implies -\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}\ i

\bf -------------------------------\\\\&#10;4\left[ cos\left(  \frac{5\pi }{3}\right)+i\ sin\left( \frac{5\pi }{3}\right) \right]\impliedby r=4\qquad \theta =\frac{5\pi }{3}&#10;\\\\\\&#10;4\left( \frac{1}{2} \right)+i\ 4\left( -\frac{\sqrt{3}}{2}\right)\implies \frac{1}{2}-\frac{\sqrt{3}}{2}\ i
3 0
3 years ago
Which set of whole numbers share the common multiples 2,520 and 3,780?
olya-2409 [2.1K]
The set of whole  numbers that share the common multiples of 2,520 and 3,780 are: 35, 105, and 315.
To get these sets of whole numbers, you have to decompose 2520 and 3780 by using decomposition method or the continuous division.

See attached file.
Download docx
7 0
3 years ago
I need help with this specific math problem.
Anika [276]

Answer:

Example 1 Find the inverse transform of each of the following.

F

(

s

)

=

6

s

−

1

s

−

8

+

4

s

−

3

H

(

s

)

=

19

s

+

2

−

1

3

s

−

5

+

7

s

5

F

(

s

)

=

6

s

s

2

+

25

+

3

s

2

+

25

G

(

s

)

=

8

3

s

2

+

12

+

3

s

2

−

49

Show All Solutions

3 0
3 years ago
Karla's jewelry box is shaped like a rectangular prism. The bottom surface of the box has an area of 65 square inches. The heigh
koban [17]

Answer:

780  cubic inches

Step-by-step explanation:

Step one:

Given data

The bottom surface of the box has an area of 65 square inches.

Already given an area and a height of 12 in

we proceed to find the volume by multiplying Area and height

Required

The volume of the box

Volume= Area* height

Step two:

Volume= 65*12

Volume = 780  cubic inches

6 0
3 years ago
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