Raina exercises no less than 40 minutes per day. use t to represent raina's amount of exercise (in minutes per day).

Solved

Show answers

Ответ:

nancye2008

03.01.2021

Mathematics

The coordinated points which quadrasects the line segments joining the points A and B are $\left(-\frac{5}{4},4\right)$ , $\left(\frac{1}{2}, 2 \right)$ and $\left(\frac{9}{4},0 \right)$ .

Step-by-step explanation:

Let A(x,y) =(-3,6) and B(x,y) = (4,-2) , when the line segment is quadrasected, it means that segment is divided into four equal parts. The locations are determined by the following expressions:

$\vec R_{1} = \vec A + \frac{1}{4}\cdot \overrightarrow{AB}$ (1)

$\vec R_{2} = \vec A + \frac{1}{2}\cdot \overrightarrow{AB}$ (2)

$\vec R_{3} = \vec A + \frac{3}{4}\cdot \overrightarrow{AB}$ (3)

Where:

$\overrightarrow{AB} = B(x,y)-A(x,y)$

$\overrightarrow{AB} = (4,-2) - (-3,6)$

$\overrightarrow{AB} = (7,-8)$

The coordinated points which quadrasects the line segments joining the points A and B are, respectively:

$\vec R_{1} = (-3,6)+\frac{1}{4} \cdot (7,-8)$

$\vec R_{1} = \left(-\frac{5}{4},4\right)$

$\vec R_{2} = (-3,6)+\frac{1}{2} \cdot (7,-8)$

$\vec R_{2} = \left(\frac{1}{2},2 \right)$

$\vec R_{3} = (-3,6)+\frac{3}{4} \cdot (7,-8)$

$\vec R_{3} = \left(\frac{9}{4},0\right)$

The coordinated points which quadrasects the line segments joining the points A and B are $\left(-\frac{5}{4},4\right)$ , $\left(\frac{1}{2}, 2 \right)$ and $\left(\frac{9}{4},0 \right)$ .

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice