Question 5
3 pts
A map has a scale of 2 inches = 3 miles. If two towns are nine inches apart on the map, how
far are they actually apart?
O 13.5 miles
O 6 miles
O 13.5 inches
O 54 miles
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Answer:

It is B.

Step-by-step explanation:

Edge2021

[tex]w -z =\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))[/tex]

"The number of the form a + ib where a, b are real numbers and [tex]i=\sqrt{-1}[/tex] "

"The polar form of complex number z = x + iy is [tex]z=r~(cos\theta+i~sin\theta)[/tex] where [tex]r=\sqrt{x^{2} +y^{2} }[/tex] and [tex]\theta=tan^{-1}(\frac{y}{x} )[/tex]"

For given question,

We have been given two complex numbers in polar form.

[tex]w=\sqrt{2}(cos(\frac{\pi}{4} )+i~sin(\frac{\pi}{4} ))[/tex] and [tex]z=2(cos(\frac{\pi}{2} )+i~sin(\frac{\pi}{2} ))[/tex]

We simplify above complex numbers.

[tex]w=\sqrt{2}(cos(\frac{\pi}{4} )+i~sin(\frac{\pi}{4} )) \\\\w=\sqrt{2}(\frac{1}{\sqrt{2} } +i~ \frac{1}{\sqrt{2} } ) \\\\w=1+i[/tex]

And the second complex number is,

[tex]z=2(cos(\frac{\pi}{2} )+i~sin(\frac{\pi}{2} ))\\\\z=2(0+i~1)\\\\z=0+2i[/tex]

Now if we find the value of w - z

⇒ w - z = (1 + i) - (0 + 2i)

⇒ w - z = 1 - i

Now we find the polar form of complex number.

[tex]r=\sqrt{1^{2} +(-1)^{2} } \\\\r=\sqrt{2}[/tex]

And the value of [tex]\theta[/tex] would be,

[tex]\theta=tan^{-1}(\frac{-1}{1} )\\\\\theta=tan^{-1}(-1)\\\\\theta=\frac{3\pi}{4}[/tex]

So, w - z in the polar form would be [tex]1+i=\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))[/tex]

Therefore, [tex]w -z =\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))[/tex]

Learn more about the complex numbers here:

https://brainly.com/question/17162901

#SPJ3

Given:

Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1).

To find:

The coordinates of point P.

Solution:

Section formula: If a point divide a line segment in m:n, then the coordinates of point are

[tex]\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1). Using section formula, we get

[tex]P=\left(\dfrac{5(2)+3(-6)}{5+3},\dfrac{5(1)+3(9)}{5+3}\right)[/tex]

[tex]P=\left(\dfrac{10-18}{8},\dfrac{5+27}{8}\right)[/tex]

[tex]P=\left(\dfrac{-8}{8},\dfrac{32}{8}\right)[/tex]

[tex]P=\left(-1,4\right)[/tex]

Therefore, the coordinates of point P are (-1,4).

Answer:

You keep the inequality sign.

Step-by-step explanation:

Please mark brainliest.

Answer: you would keep the sign

Answer:

x = -4

y= -10

Step-by-step explanation:

Solving for x

-4x-y = 26

-4x-(2x-2) = 26

-6x+2 = 26

-6x = 24

x = -4

Solving for y

y = 2x-2

y = 2(-4) -2

y= -8-2

y = -10

Answer:

the answer is (7,5) (5,5)

Hi there! There are no numbers listed, therefore I'm unable to do answer your question. Are there numbers included in the problem?

Answer:

(x + 4), (y + 9)

Step-by-step explanation:

y= x^2 and y = x^2 - 8x + 25 are parabolas which open upwards.

The turning point of y = x^2 is at the origin (0, 0).

So the transformation is 4 units to the right and 9 units upwards:

(x + 4), y+ 9).

Answer:

la repuedta es la tila idnjxnfozmsuzndybdjsnshsbsb

Answer:

203.5

Step-by-step explanation:

Please mark brainliest.

Answer:

Answer is: 203.5

Step-by-step explanation:

Hope this helped YOU! :)

Answer:

yes it is ok

Step-by-step explanation:

40 ok equate

Answer:

24300

Step-by-step explanation:

first find the square for 30 * 30

then multiply!

Answer:

x=14

Step-by-step explanation:

11x+18=172, subtract 17 from both sides, 11x=154, divide 11 from both sides, x=14

Answer:

D

Step-by-step explanation:

I know this stuff

Answer:

The unit cost is $3.15

Step-by-step explanation:

Here, we want to get the price per gallon

mathematically, that will be total amount spent divided by the number of gallons

That will be;

44.10/14 = $3.15

Answer: its most likely p to the power of 6 :)

Step-by-step explanation:

Answer:

The answer for (p^3)^2 is p^6

Step-by-step explanation:

Hope this helps!

Plz, mark brainiest! ^.^

Answer: I believe the answer is $822.56.

Step-by-step explanation: Hope this helps :)

Answer:

(-8,-6)

Step-by-step explanation:

Answer:

So... the factored answer is -5(7+x) Simplified it is -35-5x

Step-by-step explanation:

Calculate the sum then factor! Hope this helps :D

Answer:

Slope: (y2-y1)/(x2-x1)

(4+2)/(-16-5) = 6/-21 = -2/7

Y = -2/7x + b

5 = -2/7(-2) + b, b = 31/7

Equation: y = -2/7x + 31/7

Step-by-step explanation:

Answer:

x=(6,0)     y=(0,-2)

Step-by-step explanation:

hope it helped:)

Ans Measurement is the process of comparing and unknown physical quantity with a known or standard one.

Answer:

x = 1/9

Step-by-step explanation:

we want to solve the proportion;

we simply cross multiply the values

Mathematically, that will be calculated as follows;

6x * 21 = 2 * 7

6x * 21 = 14

6x = 14/21

2(3x) = 2(7/21)

3x = 7/21

3x = 1/3

x = 1/3/3

x = 1/9

Answer:

Christmas is in 10 days!

Other:

Brainliest? Thanks!

Answer:

8

Step-by-step explanation:

62 divided by 8 is 7.75

you can't cut people so round it up and you get 8

Answers:

18:12

3:2

Step-by-step explanation:

9:6 = 9 * 2 : 6 * 2 = 18:12

9:6 = 9/3 : 6/3 = 3:2

Hope this helps.

Answer:

y = 3x + 3

Step-by-step explanation:

...............................

Answer:

I think it is b

Step-by-step explanation:

it is 3a times all of the numbers in parenthases

hope you pass your test

HAPPY NEW YEAR

Answer:

the answer is 15a+12ac+6ab

Step-by-step explanation:

3a(5+4c+2b)

(3a)(5+4c+2b)

(3a)(5)+(3a)(4c)+(3a)(2b)

15a+12ac+6ab

6ab+12ac+15a

hope this helps!

Answer:

its 1,0

Step-by-step explanation:

because im 4o3 iq trust me

We want to solve the given system of equations graphically

The estimated solution that we will get is (0, -2)

The given system of equations is:

y = 2x - 2

y = -35x + 1

To solve it graphically, we need to graph both lines on the same coordinate axis, and see where the lines intersect.

The graph can be seen below, there we can see that the lines intersect near the point (0, -2)

Note that this does not coincide with any of the given solutions, which means that one of the two lines must be written incorrectly.

If you want to learn more, you can read:

https://brainly.com/question/17641264

Answer:

848.97

Step-by-step explanation:

[tex]800(1 \ + \frac{2}{100} ) {}^{3} [/tex]

= 848.9664