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sti192

sti192

29.06.2019 •

Mathematics

Ineed a answer asap geometry 25 points

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Ответ:

destinyharris2586

19.06.2020

E F G H is the prime of A B C D and is flipped over the opposite axis which is the x. Hope this helped

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Ответ:

Delqueen8956

14.04.2023

C.

G(x_2,y_2) = (3,1)

Step-by-step explanation:

Given

$E (0, 4)\\F (1, 3)\\Ratio = 1:2$

Required

Cordinate of G

Given that the line segment EG is divided into ratios, the formula to make use of is as follows;

$F =(x,y)= (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

Where m = 1; n = 2

x1 and y1 are the coordinate of E; x1 = 0 and x2 = 4

x2 and y2 are the coordinate of G

x and y are the coordinate of F; x = 1 and y = 3

Solving for x2

$F =(x,y)= (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

$F =(x)= (\frac{mx_2 + nx_1}{m + n})$

$F =(1)= (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

$1 = (\frac{1* x_2 + 2 * 0}{1 + 2})$

$1 = (\frac{1* x_2 + 2 * 0}{3})$

$1 = (\frac{x_2 + 0}{3})$

$1 = \frac{x_2}{3}$

Multiply both sides by 3

$3 * 1 = \frac{x_2}{3} * 3$

3 = x_2

x_2 = 3

Solving for y2

$F =(x,y)= (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

$F =(y)= (\frac{my_2 + ny_1}{m + n})$

$F =(3)= (\frac{my_2 + ny_1}{m + n})$

$3= \frac{1 * y_2 + 2 * 4}{1 + 2}$

$3= \frac{y_2 + 8}{3}$

Multiply both sides by 3

$3 * 3= \frac{y_2 + 8}{3}* 3$

9= y_2 + 8

Subtract 8 from both sides

9 - 8 = y_2 + 8 -8

1 = y_2

y_2 = 1

Hence, G(x_2,y_2) = (3,1)

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