Mathematics: What are the coordinates of the point on the directed line segment from (-10, -3) to (2, -3) that partitions the segment into a ratio of 5 to 3?

What are the coordinates of the point on the - id8151858, wolfiewolffromsketch

Ответ:

rosie20052019

04.02.2022

Mathematics

(-2.5,-3)

Step-by-step explanation:

Initial points, (x_1,y_1)=(-10,-3)

Final points, (x_2,y_2)=(2,-3)

The ratio in which the points divides is 5:3. KLet (x,y) be the coordinates of the point that is directed on the line segment from (-10, -3) to (2, -3).

Using section formula,

$x=\dfrac{m_1x_2+m_2x_1}{m_1+m_2}, y=\dfrac{m_1y_2+m_2y_1}{m_1+m_2}\\\\x=\dfrac{5\times 2+3\times (-10)}{5+3}, \dfrac{5(-3)+3(-3)}{5+3}\\\\x=-2.5, y=-3$

So, the coordinates of the point is (-2.5,-3).

0,0(0 оценок)

Ответ:

dessyrob05

01.04.2020

Mathematics

Step-by-step explanation:

In this problem, we need o find the rate in cups of lime juice per cup of yogurt.

It is given that, a salad dressing recipe includes 4/5 cup of lime juice for every 2 cups of Greek yogurt. Its rate is given by :

$R=\dfrac{\dfrac{4}{5}\ \text{cups of lime juice}}{2\ \text{cups}}\\\\R=\dfrac{4}{5}\times 2\\\\R=\dfrac{8}{5}\ \text{cups of lime juice per cup}$

Hence, the rate is 8/5 cups of lime juice per cup.

0,0(0 оценок)

What are the coordinates of the point on the directed line segment from (-10, -3) to (2, -3) that partitions the segment into a ratio of 5 to 3?

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question