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MrRissso [65]
2 years ago
9

B r u h. Just help for points. No answer no points

Mathematics
1 answer:
Lostsunrise [7]2 years ago
5 0

Answer:

\left(-34, \dfrac{33}{2}\right)

Step-by-step explanation:

Create a linear equation for line AB and line CD

Find slope using slope formula m=\dfrac{y_2-y_1}{x_2-x_1}

then use point-slope form of linear equation y-y_1=m(x-x_1)

(where m is the slope and (x_1,y_1) and (x_2,y_2) are two points on the line)

<u>Line AB</u>

m=\dfrac{-16+1}{-8+20}=-\dfrac54

\implies y+1=-\dfrac54(x+20)\\\\\implies y=-\dfrac54x-26

<u>Line CD</u>

m=\dfrac{0+11}{-19+9}=-\dfrac{11}{10}

\implies y+11=-\dfrac{11}{10}(x+9)\\\\\implies y=-\dfrac{11}{10}x-\dfrac{209}{10}

To find the point of intersection, equate the equations and solve for x::

AB = CD

\implies -\dfrac54x-26=-\dfrac{11}{10}x-\dfrac{209}{10}

\implies -\dfrac{3}{20}x=\dfrac{51}{10}

\implies x=-34

Substitute found value of x into one of the equations and solve for y:

y=-\dfrac54(-34)-26=\dfrac{33}{2}

Therefore, point of intersection is  \left(-34, \dfrac{33}{2}\right)

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