Which statement best defines a circle?
ОА.
the set of all points in a plane that are the same distance from a given point called the center
OB.
the set of all points that are the same distance from a given point called the center
OC. points in a plane that surround a given point called the center
OD the set of all points in a plane that are the same distance from each other surrounding a given point called the center

Answer:

[tex]\begin{aligned} \frac{dy}{dx} &= \frac{\cos(t) + \sin(t)}{\cos(t) - \sin(t)} \end{aligned}[/tex] given that [tex]a \ne 0[/tex] and that [tex]\cos(t) - \sin(t) \ne 0[/tex].

Step-by-step explanation:

The relation between the [tex]y[/tex] and the [tex]x[/tex] in this question is given by parametric equations (with [tex]t[/tex] as the parameter.)

Make use of the fact that:

[tex]\begin{aligned} \frac{dy}{dx} = \quad \text{$\frac{dy/dt}{dx/dt}$ given that $\frac{dx}{dt} \ne 0$} \end{aligned}[/tex].

Find [tex]\begin{aligned} \frac{dx}{dt} \end{aligned}[/tex] and [tex]\begin{aligned} \frac{dy}{dt} \end{aligned}[/tex] as follows:

[tex]\begin{aligned} \frac{dx}{dt} &= \frac{d}{dt} [a\, (\cos(t) + \sin(t))] \\ &= a\, (-\sin(t) + \cos(t)) \\ &= a\, (\cos(t) - \sin(t))\end{aligned}[/tex].

[tex]\begin{aligned} \frac{dx}{dt} \ne 0 \end{aligned}[/tex] as long as [tex]a \ne 0[/tex] and [tex]\cos(t) - \sin(t) \ne 0[/tex].

[tex]\begin{aligned} \frac{dy}{dt} &= \frac{d}{dt} [a\, (\sin(t) - \cos(t))] \\ &= a\, (\cos(t) - (-\sin(t))) \\ &= a\, (\cos(t) + \sin(t))\end{aligned}[/tex].

Calculate [tex]\begin{aligned} \frac{dy}{dx} \end{aligned}[/tex] using the fact that [tex]\begin{aligned} \frac{dy}{dx} = \text{$\frac{dy/dt}{dx/dt}$ given that $\frac{dx}{dt} \ne 0$} \end{aligned}[/tex]. Assume that [tex]a \ne 0[/tex] and [tex]\cos(t) - \sin(t) \ne 0[/tex]:

[tex]\begin{aligned} \frac{dy}{dx} &= \frac{dy/dt}{dx/dt} \\ &= \frac{a\, (\cos(t) + \sin(t))}{a\, (\cos(t) - \sin(t))} \\ &= \frac{\cos(t) + \sin(t)}{\cos(t) - \sin(t)}\end{aligned}[/tex].

Answer:

How about  c = 15x + 10x?

Step-by-step explanation:

Answer:

i aint too good at this stuff but you can put g=15 and s=10 for the price of just the goby fish and just the shrimp hope this mighta helped

Step-by-step explanation:

Answer:

B. [tex]4^{6}[/tex] ÷ [tex]5^{6}[/tex]

Step-by-step explanation:

its a formula

Answer:

8 zeroes

Step-by-step explanation:

8.2*10^9=8200000000 which has 8 zeroes

Answer: Choice B

[tex]x^{1/8}y^{8}[/tex]

======================================================

Explanation:

The two rules we use are

[tex](a*b)^c = a^c*b^c[/tex]

[tex](a^b)^c = a^{b*c}[/tex]

When applying the first rule to the expression your teacher gave you, we can say that:

[tex]\left(x^{1/4}y^{16}\right)^{1/2} = \left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2}[/tex]

Then applying the second rule lets us say

[tex]\left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2} = x^{1/4*1/2}*y^{16*1/2} = x^{1/8}y^{8}[/tex]

Therefore,

[tex]\left(x^{1/4}y^{16}\right)^{1/2} = x^{1/8}y^{8}[/tex]

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

In short, we just multiplied each exponent inside by the outer exponent 1/2.

So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.

[tex]\\ \sf\longmapsto y=2+3x+5+2x[/tex]

[tex]\\ \sf\longmapsto y=3x+2x+2+5[/tex]

[tex]\\ \sf\longmapsto y=5x+7[/tex]

Hence

Answer:

17 +158 *55 /45

Step-by-step explanation:

maaf kalo salah

Answer:

(1, 0, 2)

Step-by-step explanation:

[3   -1  2 | 7  ]

|6 -10  3 | 12|

[1   -1   4 |  9 ]

To the first row, add -3 times the values of the third row

To the second row, add -6 times the values of the third row

[0   2  -10 | -20 ]

|0  -4  -21 | -42 |

[1    -1    4 |  9   ]

To the second row, add 2 times the values in the first row

[0   2  -10 | -20 ]

|0  0  -41  | -82 |

[1    -1    4 |  9   ]

z =  -82 / -41

z = 2

2y - 10(2) = -20

y = 0

x - 0 + 4(2) = 9

x = 1

Answer:

x= -11

Step-by-step explanation:

5x+2=4x-9 subtract 2 from both sides

5x+2-2=4x-9-2

5x=4x-11 subtract 4x from both sides

5x-4x=4x-4x-11

x= -11

hope that helps>3

Answer:

8.5 yd sq.

Step-by-step explanation:

[tex]area \: of \: triangle = \frac{1}{2} \times \sin(156) \times 6 \times 7 \\ = 0.41 \times 21 \\ = 8.5[/tex]

9514 1404 393

Answer:

  P = 4z +5

Step-by-step explanation:

The side lengths are given as (z), (z+5), (2z). The perimeter is the sum of the side lengths:

  P = z +(z +5) +2z

  P = 4z +5

The speed is 894.775 mile per hour.

The certain distance travelled in certain time is speed.

Speed = distance/time.

1 meter per second = 2.23694 mile per hour

Therefore, 400 meter per second = (400*2.23694) mile per hour

=894.775.

Learn more about speed here :

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Answer:

It is tens

Step-by-step explanation:

3 » ones

[tex]{ \boxed{ \sf{7 \: » \: tens}}}[/tex]

4 » hundreds

5 » thousands

9 » ten thousands

6 » hundred thousands

Answer:

8.   10

11.   10

Step-by-step explanation:

put 5 instead of b

8.  (15 - b)

    = (15-5)

   = (10)

11. b +b

  = 5 +5

  = 10

Step-by-step explanation:

x-1=0

x=1

subtitute value of x

p(x)=x^3+ax^2+bx

p(1)=(1)^3+a(1)^2+b(1)

p(1)=1+a+b

as p(x) =6. (given)

1+a+b=6

a+b=6-1

a+b=5

Answer:

-3/7

Step-by-step explanation:

It is asking to find the slope of the secant line going through points (2,f(2)) and (9,f(9)).

We must find f(2) by looking at the curve at x=2. We should see that y=2 there so f(2)=2.

We must find f(9) by looking at the curve at x=9. We should see that y=-1 there so f(9)=-1.

The slope of a line is calculated by finding the ratio of the change of y to the change of x.

(-1-2)/(9-2)

(-3)/(7)

-3/7

Hi! I'm happy to help!

To solve for how many biscuits each poodle gets, we have to split or divide the amount of biscuits by the amount of poodles. (We will use division)

131,131,131÷444

295,340.3851... rounded to 295,340

So, each poodle will receive 295,340 dog biscuits. (A LOT)

I hope this was helpful, keep learning! :D

Answer:

So simple question ask some complicated na yrr

Answer:

1265.5

is that right

i think that question is wrong

Answer:

900,000

Step-by-step explanation:

rounding is quite simple, the number 927,545, like all numbers, has different number places/values. the number 9 is in the 100,000th place and to round you look at the number in the place to the right of it which is 2. the number 2 is is less than 5 so it can't raise the number 9 to a ten. because of this, it reduces all of the other numbers to 0. leaving you with the number 900,000

Answer:

It should be 12, but x wasn't defined. My condition could be wrong though.

If the area of the square above is 144. The value of x is the length of the side of the square which is 12 units.

The area of a square can be calculated as the square of the sides of a given figure.

The area of a square = side x side

We have given the area of the square above is 144.

Let x be the side of the given square.

The area of a square = side x side

[tex]144 = x \times x\\\\144 = x^2\\\\x =\sqrt{144} \\\\x = 12[/tex]

Hence, the length of the side is 12 units.

Learn more about the area ;

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Answer:

A possible can be 7 red apples for every 6 green apples.

Step-by-step explanation:

21 and 18 have a common factor of 3. 21/3 =7 and 18/3=6. So the answer can be 7 red apples for every 6 green apples. Hope this helps

Answer:

A,C,D

Step-by-step explanation:

Answer:

jordan drinks 4.5 cup of water

Answer:

Step-by-step explanation:

I’m not what are you talking about

Answer:

A

Step-by-step explanation:

8 and 9 can go in 72.

Look for the LCM of 72

Answer:

72

Step-by-step explanation:

72 has both 8 and 9 as its factors from the alternatives

Apart from 72,

the available options does not have both 8 and 9 being its factors.

Answer:

303

Step-by-step explanation:

13x + 1 + 6x - 2 = 18x + 15

19x - 1 = 18x + 15

19x = 18x + 16

x = 16

18(16)+ 15

288 + 15

303

Answer:

2

Step-by-step explanation: