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Find the (x, y) pair for the value of the parameter for x=2t,y=+7 for t(Simplify your answer. Type an ordered pair)

A.(4,7)
B.(2,7)
C.(1,7)
D.(3,7)

User Sternr
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1 Answer

4 votes

Final answer:

The correct (x, y) pair is found by substituting t=1 into the equation x=2t, yielding x=2. Since y=+7 is constant, the ordered pair is (2,7), which corresponds to option B.

Step-by-step explanation:

To find the (x, y) pair for a given value of the parameter t, we can substitute the value of t into the parametric equations x=2t and y=+7. Since the value for y is already given and does not depend on t, it remains 7 for any value of t.

Now, if we look at the options given (A, B, C, D), we can deduce that the value of t must be equal to 1 to satisfy the equation x=2t, where x equals 2 as in option B.

So, simply by substituting t=1 into the equation x=2t, we get x=2*(1), which simplifies to x=2. Therefore, the correct ordered pair is (2,7), which is option B.

User Ricardo Costa
by
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