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Whitepunk [10]
3 years ago
12

If you place 35 points on a piece of paper so that no three points are in a line, how many line segments are necessary to connec

t each point to all the others?
Mathematics
2 answers:
Ganezh [65]3 years ago
4 0
<span>Thank you for posting your Math question here at brainly. The line segments that are necessary to be connected to each point is 34. The total number of such connection is C(35,2) = 35 * 34/2. I hope the answer helps. </span>
bogdanovich [222]3 years ago
3 0

Answer:

595 line segments are necessary to connect each point to all the others.

Step-by-step explanation:

Consider the provided information.

The formula for the number of line segments between "n" non-collinear points is:

\frac{n\times ( n -1 )}{2} Segments

Here it is given that there are 35 points.

Substitute n = 35 in above formula.

\frac{35\times (35 -1 )}{2}

\frac{35\times 34}{2}

35\times 17

595 Segments

Hence, 595 line segments are necessary to connect each point to all the others.

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Solve the system y=x-3 y=-2x+3
vivado [14]

Answer:

x = 2, y= -1 Or (2, -1)

Step-by-step explanation:

Let’s solve the system using substitution. First we can set the equations equal to each other:

x-3= -2x +3

Now solve for x

3x-3= 3

3x = 6

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Now that we have x, we can plug it back into one of the original equations to get y

y= x-3

y= 2-3

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Please answer this correctly without making mistakes
Gekata [30.6K]

Answer:

16

Step-by-step explanation:

The distance is given by

d = sqrt( (x2-x1) ^2 + ( y2-y1) ^2)

Since the x values are the same

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d =  sqrt((-16) ^2)

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We can also just find the number of squares between the points since the x value is the same.

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A square is cut from a rectangle. The side length of the square is half of the unknown width w. The area of the shaded region is
Virty [35]

Answer:

  • See below

Step-by-step explanation:

<u>The side of the square is w/2, then its area is:</u>

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