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3 years ago

The center of a circle is located at (5, −5) . The radius of the circle is 3.

1 answer:

3 0

The equation of a circle is:

$(x - xc) {}^{2} + (y - yc) {}^{2} = r {}^{2}$

Where (xc,yc) are the coordinates of the center.
Center (5, -5)
Radius = 3
(x-5)²+(y+5)²=3²
x²-10x+25+y²+10y+25=9
x²+y²-10x+10y+41=0

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Which transformation shows a translation of 3 units to the right?<br> A)A<br> B)С<br> C)B<br> D)D

Citrus2011 [14]

Answer:

Step-by-step explanation: It`s option C

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3 years ago

What are the amplitude, period, and phase shift of the given function? f(t)=-2/3 cos (3t-3pi)

dybincka [34]

Answer:

amplitude; $\frac{2}{3}$

Phase shift; $\pi$ units right

Period; $\frac{2\pi}{3}$

Step-by-step explanation:

The given function is

$y=-\frac{2}{3}\cos(3t-3\pi)$

This function is of the form;

$y=A\sin (Bt+C)$

The period is given by:

$|A|=|-\frac{2}{3}|= \frac{2}{3}$

The period is given by:

$T=\frac{2\pi}{|B|}= \frac{2\pi}{|3|}=\frac{2\pi}{3}$

The phase shift is given by;

$\frac{C}{B}=\frac{-\3pi}{3}=- \pi$ or $\pi$ units right.

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3 years ago

On any day, the probability of rain is 0.3. The occurrence of rain on any day is independent of the occurrence of rain on any ot

poizon [28]

<h3>Answer: 0.47178 Step-by-step explanation: Find the probability for each p(X=x) up to 5 using the equation: (x-1)C(r-1)*p^r * q^x-r, where x is number of days, p = .3 (prob of rain). q=.7 (prob of not rain), and r=2 (second day of rain). also C means choose. So p(X=1) = 0 p(X=2) = 1C1 * .3^2 * .7^0 = .09 P(X=3) = 2C1 * .3^2 * .7^1 = .126 P(X=4) = 3C1 * .3^2 * .7^2 = .1323 P(X=5) = 4C1 * .3^2 * .7^3 = .12348 Then add all of them up 0+.09+.126+.1323+.12348 = .47178</h3>

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3 years ago

Need help asap in a hurry, please. Doing a budget The gross income is $54,000.

ZanzabumX [31]

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3 years ago

Can someone help me please

Schach [20]

Answer:

Step-by-step explanation:

The system of equations is expressed as

y=-2x+7 - - - - - - - - 1

y=5x-7 - - - - - - - - -2

We would equate equation 1 and equation 2. It becomes

- 2x + 7 = 5x - 7

We would add 2x to the left hand side and the right hand side of the equation. Also add 7 to the left hand side and the right hand side of the equation. It becomes

- 2x + 2x + 7 + 7 = 5x + 2x - 7 + 7

14 = 7x

Dividing the left hand side and the right hand side of the equation by 7, it becomes

7x/7 = 14/2

x = 2

y= -2 × 2 + 7

y = - 4 + 7

y = 3

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3 years ago