Mathematics: Point a is located at (2, 6), and point m is located at (−1, 8). if point m is the midpoint of segment ab, find the location of point b.

Point a is located at (2, 6), and point m is

Ответ:

neariah24

18.06.2020

Mathematics

The location of point B is (-4, 10)

Solution:

Given that, Point A is located at (2, 6), and point M is located at (−1, 8)

Point M is the midpoint of segment AB

To find: Location of Point B

The midpoint "m" m(x, y) of a line with endpoints $(x_1, y_1 ) \text{ and } (x_2 , y_2)$ is given as:

$m(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Here in this sum,

Point M (-1, 8) is the midpoint

$\text{ Let } (x_2, y_2) \text{ be the point B}$

$(x_1, y_1) = (2, 6)\\\\(x, y) = (-1, 8)\\\\(x_2, y_2) = ?$

Substituting the values in formula, we get

$(-1,8)=\left(\frac{2+x_{2}}{2}, \frac{6+y_{2}}{2}\right)$

Compare the L.H.S and R.H.S

$\begin{aligned}&-1=\frac{2+x_{2}}{2} \text { and } 8=\frac{6+y_{2}}{2}\\\\&-2=2+x_{2} \text { and } 16=6+y_{2}\\\\&x_{2}=-2-2 \text { and } y_{2}=16-6\\\\&x_{2}=-4 \text { and } y_{2}=10\end{aligned}$

Thus location of point B is (-4, 10)

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Ответ:

richtercatrina16

29.04.2020

Mathematics

Marcelina spends the intended amount of money and buys more than the intended amount of corn.

Step-by-step explanation:

The equation in the green shows the amount that Marcelina actually spent.

The equation in the blue shows what she planned on spending. In the problem, it says that she needs to buy 50kg of corn in total, but when she spends the amount that she intended, she ended up getting more than what she needed, which was 50kg or corn.

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Point a is located at (2, 6), and point m is located at (−1, 8). if point m is the midpoint of segment ab, find the location of point b.

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