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gtnhenbr [62]
3 years ago
8

Hey, Y'all. Was wonderin' bout this pesky question that got me a bit stumped. Thank ya for your help.

Mathematics
1 answer:
puteri [66]3 years ago
4 0
Answer: Choice B) (24,10)

---------------------------------------------------------

Work Shown:

2x - 4y = 8
2( x ) - 4y = 8
2( 3y-6 ) - 4y = 8 ... notice x has been replaced with 3y-6
2(3y)+2(-6) - 4y = 8
6y-12 - 4y = 8
2y-12 = 8
2y-12+12 = 8+12 ... add 12 to both sides
2y = 20
2y/2 = 20/2 ... divide both sides by 2
y = 10

If y = 10, then
x = 3y-6
x = 3*10-6 ... replace y with 10
x = 30-6
x = 24

Put together, the solution is (x,y) = (24,10)
which is why the answer is choice B

As a check, we can plug (x,y) = (24,10) into each equation
x = 3y-6
24 = 3*10 - 6
24 = 30 - 6
24 = 24 ... true equation
and similarly for the second equation as well
2x-4y = 8
2*24 - 4*10 = 8
48 - 40 = 8
8 = 8 ... true equation
Both equations are true when (x,y) = (24,10) so the solution is confirmed
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Fortunately, to do part C, it is not necessary to use the graph of the function, nor the locations of points A & B, since we know that t=-1 at A.

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Translating into rectangular coordinates for t=9/2, we get
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Attached is the graphics of f(t), showing that t=-1 is a tangent line, and that the solutions are t=-1, or t=9/2.

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Step-by-step explanation:

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Step-by-step explanation:

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