Given line segment ab with endpoints a(-9, 2) and

Ответ:

whocares1234

13.03.2022

Check the picture below.

so, from A to B cut at 1/3, simply means, splitting the AB segment into 1+3 equal pieces, and from those four, AB takes 1 piece, and CB takes the other 3 pieces.

$\bf \left. \qquad \right.\textit{internal division of a line segment}
\\\\\\
A(-9,2)\qquad B(12,8)\qquad
\qquad 1:3
\\\\\\
\cfrac{AC}{CB} = \cfrac{1}{3}\implies \cfrac{A}{B} = \cfrac{1}{3}\implies 3A=1B\implies 3(-9,2)=1(12,8)\\\\
-------------------------------\\\\
{ C=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)}$

$\bf -------------------------------\\\\
C=\left(\cfrac{(3\cdot -9)+(1\cdot 12)}{1+3}\quad ,\quad \cfrac{(3\cdot 2)+(1\cdot 8)}{1+3}\right)
\\\\\\
C=\left(\cfrac{-27+12}{4}~~,~~\cfrac{6+8}{4} \right)\implies C=\left(-\frac{15}{4}~~,~~\frac{7}{2} \right)
\\\\\\
C=\left(-3\frac{3}{4}~~,~~3\frac{1}{2} \right)$

Given line segment ab with endpoints a(-9, 2) and b(12, 8) what are the coordinated of point c that

Given line segment ab with endpoints a(-9, 2) and b(12, 8) what are the coordinated of point c that

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Ответ:

jpyperofficialp2z5xs

13.03.2022

Mathematics

$C(-\dfrac{15}{4},\dfrac{7}{2})$

Step-by-step explanation:

The given endpoints of the line segment AB are A(-9, 2) and B(12, 8).

It is given that point C partitioned one third from A to B. It means point C divide the line segment AB in 1:3.

Section formula:

If a point divides a line segment PQ in m:n, where endpoints are P(x_1,x_2) and Q(x_2,y_2) , then the coordinates of that point are

$(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n})$

Using section formula, the coordinates of point C are

$C=(\dfrac{(1)(12)+(3)(-9)}{1+3},\dfrac{(1)(8)+(3)(2)}{1+3})$

$C=(\dfrac{12-27}{4},\dfrac{8+6}{4})$

$C=(\dfrac{-15}{4},\dfrac{14}{4})$

$C=(-\dfrac{15}{4},\dfrac{7}{2})$

Therefore, the coordinates of point C are $(-\dfrac{15}{4},\dfrac{7}{2})$ .

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Ответ:

SuBzErO24

22.03.2023

Mathematics

My answers:

1.my favorite halloween movie is light's out and the bird box

2. my favorite candy is XO if you don't know what it xo is an candy made of coffee

3. i want to dress up like an witch but i can't there's no dressing up thing that we're done at halloween in the country i were from but we used to visit cementry at halloween here

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Given line segment ab with endpoints a(-9, 2) and b(12, 8) what are the coordinated of point c that is partitioned one third from a to b. .

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