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astraxan [27]
2 years ago
13

Eliminate the parameter: x = 2cost-1 y = 3sint+ 4

Mathematics
1 answer:
adell [148]2 years ago
8 0

Answer:

Hi,

Step-by-step explanation:

\left\{\begin {array} {ccc}x&=&2*cos(t)-1\\y&=&3*sin(t)+4\\\end{array}\right.\\\\\\\left\{\begin {array} {ccc}\dfrac{x+1}{2}&=&cos(t\\\dfrac{y-4}{3}&=&sin(t)\\\end{array}\right.\\\\Squaring\\\\\boxed{(\dfrac{x+1}{2})^2+(\dfrac{y-4}{3})^2&=1}\\

The curve is an ellipse having (-1,4) as center and half-axis (2 and 6)

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^DEF and ^RSQ are shown in the diagram below
lakkis [162]

Answer:

53.3 degrees

Step-by-step explanation:

∆DEF and ∆RSQ are similar. We know this, because the ratio of their corresponding sides are equal. That is:

DE corresponds to RS

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Also <D corresponds to <R, <E corresponds to <S, and <F corresponds to <Q.

The ratio of their corresponding sides = DE/RS = 6/3 = 2

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Since the ratio of their corresponding sides are equal, it means ∆DEF and ∆RSQ are similar.

Therefore, their corresponding angles would be equal.

Thus, m<Q = m<F

Let's find angle F

m<F = 180 - (98 + 28.7)

m<F = 53.3°

Since <F corresponds to <Q, therefore,

m<Q = 53.3°

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3 years ago
Which choice is the correct answer for: 2.78 * 6?
amid [387]

Hello!

2.78 * 6 = 16.68

I hope this helps, and have a nice day!

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Describe the transformation done to y=1/x to get y=1/4x-12.<br><br> Please Show Work.
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