What is the distance between 3 and 1?

Answer:B

Step-by-step explanation:

B

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

Consider,

[tex]\rm \longmapsto\:\dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } [/tex]

On taking LCM, we get

[tex]\rm \:  =  \: \dfrac{ {( \sqrt{7} + i \sqrt{3})}^{2} + {( \sqrt{7} - i \sqrt{3})}^{2} }{( \sqrt{7} + i \sqrt{3})( \sqrt{7} - i \sqrt{3})} [/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {(x + y)}^{2} + {(x - y)}^{2} = 2( {x}^{2} + {y}^{2})}}} \\ [/tex]

and

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ (x + y)(x - y) = {x}^{2} - {y}^{2} \: }}} \\ [/tex]

So, using these Identities, we get

[tex]\rm \:  =  \: \dfrac{2\bigg[ {( \sqrt{7})}^{2} + {(i \sqrt{3}) }^{2} \bigg]}{ {( \sqrt{7}) }^{2} - {(i \sqrt{3})}^{2} } [/tex]

[tex]\rm \:  =  \: \dfrac{2(7 + 3 {i}^{2})}{7 - {3i}^{2} } [/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {i}^{2} = - 1}}} \\ [/tex]

So, using this, we get

[tex]\rm \:  =  \: \dfrac{2(7 - 3)}{7 + 3} [/tex]

[tex]\rm \:  =  \: \dfrac{2 \times 4}{10} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{5} [/tex]

Hence,

[tex] \red{\rm\implies \:\boxed{\sf{ \dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } \: is \: purely \: real}}}[/tex]

Answer:

the size of the angel is 51

Step-by-step explanation:

The size of the angle is 52 p

A midpoint is a point that bisects a line into two equal parts.

Given that  C is the midpoint of AE, hence;

AC + CE = AE ........ 1

Similarly, if C is the midpoint of BD, then;

BC + CD = BD................... 2

If AE = BD, then we will equate 1 and 2 to have:

AC + CE = BC + CD

Also since CE = BC, the equation becomes

AC + CE = CE + CD

AC = CD (Proved)

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Answer:

y = -3x + 1

Step-by-step explanation:

slope intercept form -> y=mx+b

you can find your slope, m, by doing rise over run ( up 3, left one -> -3/1 )

you can find your y-intercept, b, by just looking at the y axis ( 0,1 -> 1 )

from there you just plug in the values

y = m ( slope ) x + b ( y-intercept )

y = -3x + 1

Answer:

A {5, 10, 15, 20}

Step-by-step explanation:

Answer:

X + 0.04x + 1.50 > 60

Step-by-step explanation:

Answer:

2x = 70

Step-by-step explanation:

4x - 2x = 70

2x = 70

x = 70/2

x = 35

Answer:

1 and 2 are parallel. 1 and 3 are perpendicular. 2 and 3 are perpendicular.

Answer: I'm gonna try my best. 1). neither 2). Parallel 3).perpendicular

Step-by-step explanation:

Answer:

a,khoảng cách từ thị trấn P đến thị trấn Q là

Step-by-step explanat  io  n:

36*5=180(km)

b,Muthu đi xe đạp từ thị trấn P đến thị trấn Q hết số phút là:

180/40=4,5(h)=270(phút)

Answer:

x = 1 and it's undefined yaaaaaaaaaaa

Answer:

[tex]v = \frac{1}{2} a {t}^{2} \\ a = \frac{2v}{ {t}^{2} } [/tex]

'a' can be expressed in terms of 'v' and 't' as -

[tex]$a=\frac{2v}{t^{2} }[/tex]

We have the following expression -

[tex]$v = \frac{1}{2} at^{2}[/tex]

We have to express → a in terms of v and t.

On solving, we get -

Sin([tex]2n\pi x[/tex]) = 0.785

Sin([tex]2n\pi x[/tex]) = Sin ([tex]\frac{\pi }{4}[/tex])

2n[tex]\pi[/tex]x =  [tex]\frac{\pi }{4}[/tex]

x =  [tex]$\frac{1}{8n}[/tex]

According to the question, we have -

[tex]$v = \frac{1}{2} at^{2}[/tex]

[tex]$a=\frac{2v}{t^{2} }[/tex]

Hence, 'a' can be expressed in terms of 'v' and 't' as -

[tex]$a=\frac{2v}{t^{2} }[/tex]

To solve more questions on Rearranging expressions, visit the link below-

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#SPJ2

Answer:

600 cubic feet

Step-by-step explanation:

Step-by-step explanation:

a)

a whole circle represents always 360 degrees.

we see the angle J is 72 degrees. the angle K is 90 degrees.

that leaves us for M and L together :

360 - 72 - 90 = 198 degrees.

we now know that twice as many people voted for L as for M. that means the angle L is twice as big as the angle M

on other words : L = 2M

and when we now say

198 = L + M

this means

198 = 2M + M = 3M

M = 66 degrees

and L is then 2M = 2×66 = 132 degrees

b)

again, the whole circle is 360 degrees.

J covers 72 of these 360 degrees.

that is 72/360 of all voting people.

72/360 = 1/5

the total of all voting people was 15840.

so, 1/5 of 15840 is

15840/5 = 3168

that means 3168 people voted for J.

Answer:

ok ok it is y+6=-1(x-2)

Step-by-step explanation:

brainliest?

Answer:

Firstly, you can use the slope and the first point to find a second point:

2 + 1 = x2 and 6 + 5 = y2 because the slope is 5/1.

Next you can write the equation in point-slope form (remember point-slope form is y - y1 = m(x - x1):

y - 11 = 5(x - 3)

Another equation would be B because B is the correct equation if you choose 2 as x2 and 6 as y2.

Hope this helps!

Answer:

21

Step-by-step explanation:

1 dozen=12

3 dozen= 36

15-36=21

Answer: -21s-86

Step-by-step explanation:

Distribute the -1 to the 14s+9 (this means multiply-1 and 14s, then multiply -1 and 9) to get -14s-9. Then distribute the -7 to the s+11 (this mean multiply -7 and s, then multiply -7 and 11) to get -7s-77. You will now have the equation -14s-9-7s-77. Simplify this by adding like terms (-14s-7s) and (-9-77) you will get the equation: -21s-86

Distributing -(14s+9)-7(s+11) gives -14s -9 -7s -77; and further simplification results into -21s -86

From the question,

We are to distribute -(14s+9)-7(s+11)

To do this,

We will clear the bracket by distributing the terms outside

That is,

-(14s+9)-7(s+11) becomes

-14s -9 -7s -77

Now, if desired, we can simplify further by collecting like terms

-14s -9 -7s -77

-14s -7s -9 -77

Then, we get

-21s -86

The simplified expression is -21s -86

Hence, distributing -(14s+9)-7(s+11) gives -14s -9 -7s -77; and further simplification results into -21s -86

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Answer:

1. 14

2. 5

3. 18

4. 16

5. 37

6. 26

7. 23

8. -10

9. 4

10. -54

Some questions are wrong so i answered what i understood. And giving me brainest will be helpful.

Answer:

5/6

Step-by-step explanation:

brainly pls

Answer:

5/6

Step-by-step explanation:

make me brainliest please

Answer:

8 + 8 + 16 5 * 3 is 15 16 + 15 is 31 that is the answer to the question

Answer:

D)

Step-by-step explanation:

Answer/Step-by-step explanation:

2x-5y=9

Add 5y  to both sides of the equation.

2x=9+5y

Divide each term by 2 and simplify.

Divide each term in 2x=9+5y by 2

[tex]\frac{2x}{2} =\frac{9}{2} +\frac{5y}{2}[/tex]

Cancel the common factor of 2.

Divide x by 1.

[tex]x=\frac{9}{2} +\frac{5y}{2}[/tex]

[tex]y=\frac{-9}{5} +\frac{2x}{5}[/tex]

----------------------------------------------------------------------------------------------------------------

3x+4y=2

Add 4y to both sides of the equation

3x=2+4y

Divide each term by 3 and simplify.

Divide each term in 3x=2+4y by 3.

[tex]\frac{3x}{3} =\frac{2}{3} +\frac{4y}{3}[/tex]

Cancel the common factor of 3.

Divide x by 1.

[tex]x=\frac{2}{3} +\frac{4y}{3}[/tex]

[tex]y=\frac{-1}{2} +\frac{3x}{4}[/tex]

Answer:

The graph of the lines is given in the picture below: