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4 years ago

Three times a number increased by 5 is less than 17

Mathematics

2 answers:

sergij07 [2.7K]4 years ago

7 0

3x+5<17
3x<12
x<4

the answer is x<4

cluponka [151]4 years ago

5 0

3x + 5 < 17
3x < 12
x < 4

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Given:

Endpoints of a segment are (0,0) and (27,27).

To find:

The points of trisection of the segment.

Solution:

Points of trisection means 2 points between the segment which divide the segment in 3 equal parts.

First point divide the segment in 1:2 and second point divide the segment in 2:1.

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$Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)$

Using section formula, the coordinates of first point are

$Point\ 1=\left(\dfrac{1(27)+2(0)}{1+2},\dfrac{1(27)+2(0)}{1+2}\right)$

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$Point\ 2=\left(\dfrac{2(27)+1(0)}{2+1},\dfrac{2(27)+1(0)}{2+1}\right)$

$Point\ 2=\left(\dfrac{54}{3},\dfrac{54}{3}\right)$

$Point\ 2=\left(18,18\right)$

Therefore, the points of trisection of the segment are (9,9) and (18,18).

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