Mathematics: A segment has a midpoint at (2,-7) and an endpoint at (8,-5). What are the coordinates of the other endpoint?

area = 50 cm²Step-by-step explanation:The area (A) of a trapezoid is calculated asA = h (a + b)where h is the perpendicular height and a, b the parallel basesHere h = 4, a = 15 and b = 10, thusA = × 4 × (15 + 10) = 2 × 25 = 50 cm²...

A segment has a midpoint at (2,-7) and an endpoint

Ответ:

bananaslada

21.01.2022

Mathematics

(-4,-9)

Step-by-step explanation:

Given a segment AB with endpoints with coordinates

A: (x_A,y_A)

B: (x_B,y_B)

The coordinates of the midpoint M of the segment AB are given by:

$x_M = x_A + \frac{x_B-x_A}{2}\\y_M = y_A + \frac{y_B-y_A}{2}$ (1)

In this problem, we know that:

- The midpoint of the segment AB has coordinates

$x_M=2\\y_M=-7$

- One of the endpoint of the segment has coordinates

$x_B=8\\y_B=-5$

So we can find the coordinates of the other endpoint A by re-arranging eq.(1) above:

$x_A=2x_M-x_B\\y_A=2y_M-y_B$

And substituting, we find:

$x_A=2(2)-8=-4\\y_A=2(-7)-(-5)=-9$

So, the coordinates of the other endpoint are (-4,-9).

0,0(0 оценок)

Ответ:

awh1088

22.04.2021

Mathematics

area = 50 cm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = $\frac{1}{2}$ h (a + b)

where h is the perpendicular height and a, b the parallel bases

Here h = 4, a = 15 and b = 10, thus

A = $\frac{1}{2}$ × 4 × (15 + 10) = 2 × 25 = 50 cm²

0,0(0 оценок)

A segment has a midpoint at (2,-7) and an endpoint at (8,-5). What are the coordinates of the other endpoint?

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