MATHEMATICS COLLEGE

There are 6 people at a party. if each person must shake hands with other every other person at the party exactly once how many handshakes will there be

Answers

Answer 1

Answer:

Answer:

If six people all shake hands with each other, how many hand shakes were made in total?

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I assume that no two people shake hands if they've already shaken them earlier, irrespective of who initiated it.

In that case Guest 1 will shake hands with 5 others (Guest 2 to 6)

Guest 2 will shake hands with 4 others (Remember she's already shaken hands with Guest 1).

Guest 3 will shake hands with 3 others (having already shaken hands with Guest 1 and 2)

and so on.....

We end up with 5+4+3+2+1 handshakes or 15 handshakes in all!

Step-by-step explanation:

please mark me as a brainlist...

Answer 2

Answer:

Answer:

15 handshakes

Step-by-step explanation:

the 1st person shakes hands with 5 people

the 2nd person shakes hands with 4 people

the 3rd person shakes hands with 3 people

the 4th person shakes hands with 2 people

the 5th person shakes hands with 1 person

the 6th person shakes hands with no one

5+4+3+2+1=15

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Write in slope intercept form an equation of the line that passes through the given points. (0,4) (4,8) and (-2,3) (-4,4)

Answers

Answer:

y-8=1(x-4)

Step-by-step explanation:

I used the equations y-y/x-x and y-__y__=__m__(x-__x__)

y=-8=1(x-4) hope that helped!

Please help answer this

Answers

Answer:

the missing length is 5

Step-by-step explanation:

Since we are given similar triangles, we can simply use proportions to solve the problem:

we say that 2 is to side of length 4, the same as m is to side lengths 10. And in math terms:

$(2)/(4) =(m)/(10) \nm=(2*10)/(4) \nm=(20)/(4) = 5$

5 because 4/2 is 2 and 10/2 is 5

What is the value of x to the nearest tenth?

Answers

Step-by-step explanation:

Hello!!!

Let'sworkoutwiththisfigure.

BCisachord,OisthecentreandOAistheperpendicularbisector.

AB=1/2ofBC(accordingtocircle'stheorem)

so,AB=1/2×25.6

Therefore, themeasureofABis12.8.

now,let'shaveasmallworkwithtriangleAOB.

asitisaRight angled triangle, takingangleBasrefrenceangleweget,

p=x

b=12.8

h=OB=16(itisalsoaradius.)

now,

byPythagorasrelationwe get,

$p = \sqrt{ {h}^(2) - {b}^(2) }$

or,x=root16^2-12.8^2

bysimplification, weget;

themeasureofxis9.6.

Therefore, thevalueofxis9.6.

Hope it helps...

Kari and Samantha have determined that their water-balloon launcher works best when they launch the balloon at an angle within 3 degrees of 45 degrees. Which equation can be used to determine the minimum and maximum optimal angles of launch, and what is the minimum angle that is still optimal?|x – 3| = 45; minimum angle: 42 degrees
|x – 3| = 45; minimum angle: 45 degrees
|x – 45| = 3; minimum angle: 42 degrees
|x – 45| = 3; minimum angle: 45 degrees

Answers

The equation which can be used to determine the minimum and maximumoptimalangles of launch and the minimum angle that is still optimal is |x – 45| = 3 and 42 degrees respectively.

What is an Angle?

This is formed when two straight lines meet at a common endpoint and are also formed during intersection of planes.

In this scenario we were told the angle is within 3 degrees of 45 degrees which means the minimum angle is 45 degrees - 3 degrees = 42 degrees with the equation used to determine the minimum and maximum being |x – 45| = 3 as the maximum angle and deviation has to be present in the equation.

Read more about Angle here brainly.com/question/25716982

#SPJ9

Answer: C |x – 45| = 3; minimum angle: 42 degrees

Step-by-step explanation:

Let f(x)=3x+5, g(x)=2^x
Find f(g(x))

Answers

Answer:

The expression will be 3(2^x) + 5

Step-by-step explanation:

In order to find the new expression, you have to let g(x) be the x :

$f(x) = 3x + 5$

$g(x) = {2}^(x)$

$fg(x) = 3( {2}^(x) ) + 5$

HELP WILL GIVE BRAINLIEST IF CORRECT

Answers

Answer:

B. No, the remainder is -50.

General Formulas and Concepts:

Algebra I

Roots are when the polynomial are equal to 0

Algebra II

Synthetic Division

Step-by-step explanation:

Step 1: Define

Function f(x) = x³ - 10x² + 27x - 12

Divisor/Root (x + 1)

Step 2: Synthetic Division

See Attachment.

To determine whether a given root is an actual root, the remainder must equal 0. Since we have a remainder of -50, the given root is not a factor of the polynomial.

Please excuse the bad handwriting. Hope this helped!

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