10 girls go to see a chick flick together on a Friday night at their local megaplex. They buy x large popcorns and y large fount
ain drinks. Together they spend $85 on snacks. They walk into an empty theater that has been recently cleaned. They have the theater to themselves. When they leave, there are 14 things in the garbage. How many large popcorns and how many large fountain drinks did they drink?
Write a system of equations. Solve using either linear combination or substitution. Show all work.
Write a system of equations. Solve using either linear combination or substitution. Show all work.
1 answer:
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Answer:
<em>The required points of the given line segment are ( - 1, - 5 ).</em>
Step-by-step explanation:
Given that the line segment AB whose midpoint M is ( 3, -2 ) and point A is ( 7, - 9), then we have to find point B of the line segment AB -
As we know that-
If a line segment AB is with endpoints ( ) and (
)then the mid points M are-
<em>M = ( ,
)</em>
Here,
<em>Let A ( 7, - 9 ), B ( x, y ) with midpoint M ( 3, - 2 ) -</em>
then by the midpoint formula M are-
<em>( 3, - 2 ) = ( ,
)</em>
On comparing x coordinate and y coordinate -
We get,
<em>( = 3 ,
= - 2)</em>
<em>( 7 + x = 6, - 9 + y = - 4 )</em>
<em>( x = 6 - 7, y = - 4 + 9 )</em>
<em>( x = - 1, y = -5 )</em>
<em>Hence the required points A are ( - 1, - 5 ).</em>
<em>We can also verify by putting these points into Midpoint formula.</em>
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