Mathematics: Determine the coordinates for the intersection of the diagonals in rstu with vertices at r(-8,-2),s(-6,7), t(6,7) and u(4,-2)

Determine the coordinates for the intersection of

Ответ:

aalejah25

14.03.2022

A. (-1,2.5)

Step-by-step explanation:

We have been the coordinates of a an quadrilateral RSTU with vertices at R(-8,-2),S(-6,7), T(6,7) and U(4,-2). We are asked to find the coordinates for the intersection of the diagonals of RSTU.

First of let us draw the quadrilateral on coordinate plane.

Please find the attachment for the quadrilateral.

We can see that our given quadrilateral is a parallelogram. Now let us draw diagonals of our parallelogram.

We can see that both diagonals are intersecting at point (-1,2.5), therefore, option A is the correct choice.

Determine the coordinates for the intersection of the diagonals in rstu with vertices at r(-8,-2),s(

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Ответ:

lalaween098

13.03.2022

Mathematics

$\frac{(2x - 3)}{(x + 4)(x - 2)} = \frac{1}{5} \\ \frac{2x - 3}{x {}^{2} - 2x + 4x - 8} = \frac{1}{5} \\ x {}^{2} - 2x + 4x - 8 = 5(2x - 3) \\ x {}^{2} + 2x - 8 = 10x - 15 \\ x {}^{2} + 2x - 10x = - 15 + 8 \\ x { }^{2} - 8x = - 7 \\ x {}^{2} - 8x + 7 = 0 \\ x {}^{2} - x - 7x + 7 = 0 \\ x(x - 1) + 7(x - 1) \\ x + 7 = 0 \\ x = - 7or \\ x - 1 = 0 \\ x = 1$

Step-by-step explanation:

x=7 or x=1

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Determine the coordinates for the intersection of the diagonals in rstu with vertices at r(-8,-2),s(-6,7), t(6,7) and u(4,-2)

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