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3 years ago

Es posible dibujar 9 segmentos de línea de manera que cada segmento interseque exactamente 1 de los otros segmentos?

Mathematics

1 answer:

uysha [10]3 years ago

8 0

Answer: No es posible (It is not possible)

Step-by-step explanation:

The question in english is as follows:

Is it possible to draw 9 line segments so that each segment crosses exactly 1 of the other segments?

A necessary condition for two lines to intersect is that they must be in the same plane (they must be coplanar), being their intersection a single point.

Now, if we want several lines to intersect only once, we need to have an <u>even number</u> of line segments. However, this is not the case because <u>9 is odd. </u>

Therefore, it is not possible.

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a student found the slope of a line that passes through the points (-3,10) and (5,-7) to be 3/8. what mistake did he make?

Yuki888 [10]

Slope = (y2 - y1) / (x2 - x1)
slope = (-7-10) / (5 - (-3)
slope is supposed to be -17/8
I am guessing she made her mistake by adding a negative sign...the student did : (-7 - (-10) / (5 - (-3) = (-7 + 10) / (5 + 3) = 3/8

5 0

4 years ago

Evaluate 10 m + n 2 4 10m+ 4 n 2 10, m, plus, start fraction, n, squared, divided by, 4, end fraction when m = 5 m=5m, equals,

Bond [772]

Answer:

$\therefore10m+\frac{n^2}4 =54$

Step-by-step explanation:

Variables : The value of a quantity which can be changed.

Monomial : Monomial contains only one term.

Example 3x, 4,6y² etc.

Binomial: Binomial contains two terms.

Example 3+4y, 20+7z etc

Trinomial: Trinomial contains 3 terms.

Example 5x-2y+5, 7z-3y+4x etc.

Given that,

$10m+\frac{n^2}4$ [ It is a binomial.]

Putting m =5 and n=4

$= (10\times 5)+\frac{4^2}4$

$=50+\frac{4\times4}{4}$

$=50+4$

=54

$\therefore10m+\frac{n^2}4 =54$

6 0

4 years ago

Help help please asap!!!!

devlian [24]

Answer: The answers is <QRT & <SRT

Step-by-step explanation:

5 0

3 years ago

I don’t understand at all

mariarad [96]

A=1/2ab
Replace the variables with their value
15=1/2(3/2)b
Multiply 1/2 and 3/2
$\frac{1}{2} \times \frac{3}{2 } = \frac{3}{4}$
15=3/4b
Divide 3/4 on both sides
15/(3/4) is the same thing as
$\frac{15}{1 } \times \frac{3}{4} = \frac{45}{4}$
45/4=b

5 0

3 years ago

What is a formula for the nth term of the given sequence? 20,23, 26...

lord [1]

Answer:

17 + 3n

Step-by-step explanation:

20, 23,26 ..............

This is an arithmetic series

First term = a = 20

Common difference = second term - first term

d = 23 - 20 = 3

nth terms = a + (n-1)*d

= 20 + (n -1) *3

= 20 + n*3 - 1*3

= 20 + 3n - 3

= 20 - 3 + 3n

= 17 + 3n

6 0

3 years ago