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4 years ago

Find a rectangular equation for the parametric equation X=t^2 y=2t+3 for t in[-3,3]

Mathematics

1 answer:

mote1985 [20]4 years ago

4 0

Solve the second equation for t, then substitute into the first.
.. y = 2t +3
.. y -3 = 2t
.. (y -3)/2 = t

.. x = t^2
.. x = ((y -3)/2)^2
.. x = (1/4)(y -3)^2 . . . . . . your rectangular equation, good for y in [-3, 3]

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Dave was invited to a birthday party that ended at 7:40. If it lasted 3 hours and 45 minutes what time did the party start?

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Molly spent 1 hour and 30 minutes swimming 5 laps in the river. If it took her the same time to swim each lap, how long would it

-Dominant- [34]

Answer:

126 minutes or 2 hours and 6 minutes

Step-by-step explanation:

Find how long it took her to swim one lap

1 hour and 30 minutes = 90 minutes

90/5 = 18

This means it took her 18 mins to swim each lap

18 · 7 = 126

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4 years ago

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Makovka662 [10]

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3 years ago

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How do i do 3 part a ?

WINSTONCH [101]

In general the binomial expansion is

$(a+b)^n = {n \choose 0} a^0 b^n + {n \choose 1} a^1 b^{n-1} + {n \choose 2} a^2 b^{n-2} + ... + {n \choose n} a^n b^0$

So in our case, because we want ascending powers of x we'll write,

$(-3x + 1)^{11} = {11 \choose 0} (-3x)^0 1^{11} + {11 \choose 1} (-3x)^{1} 1^{10} + {11 \choose 2} (-3x)^{2} 1^9 + {11 \choose 3 } (-3x)^3 1^8 + ...$

We need to calculate the binomial coefficients:

${11 \choose 0} = 1$

${11 \choose 1} = 11$

${11 \choose 2} = \dfrac{11 \times 10}{2} = 55$

${11 \choose 3} = \dfrac{11 \times 10 \times 9}{3 \times 2} = 165$

$(-3x+1)^{11} = 1 (-3x)^0 1^{11} + 11(-3x)^{1} 1^{10} + 55 (-3x)^2 1^{9} + 165 (-3x)^3 1^8 + ...$

$(1-3x)^{11} = 1 -33 x + 495 3x^2 - 4455 x^3+ ...$

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3 years ago

Please help me with trig! True or False

Anton [14]

Answer:

False

Step-by-step explanation:

If it is a right triangle, the Pythagorean theorem will apply

a^2 + b^2 = c^2

4^2 + 5.05^2 = 6.6^2

16 +25.5025 =43.56

41.5025=43.56

This is not true so it is not a right triangle

Round to the nearest integer

4^2 + 5^2 = 7^2

16+25 = 49

41 =49

This is not true

5 0

4 years ago