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charle [14.2K]
3 years ago
13

Which parametric equations represent (x + 1)2 + (y – 3)2 = 16

Mathematics
2 answers:
valentina_108 [34]3 years ago
4 0

Answer:

see image below

Step-by-step explanation:

max2010maxim [7]3 years ago
3 0

Answer:

x = 4cos(t) – 1 and y = 4sin(t) + 3

Step-by-step explanation:

Equation of a circle:

The equation of a circle has the following format:

(x - x_0)^2 + (y - y_0)^2 = r^2

In which:

The centre is is (x_0,y_0) and r is the radius. The parametric equations are given by:

x(t) = r\cos{(t)} + x_0

y(t) = r\sin{(t)} + y_0

In this question:

(x + 1)^2 + (y - 3)^2 = 4^2

This means that the centre is (-1,3) and the radius is 4. So, the answer is:

x = 4cos(t) – 1 and y = 4sin(t) + 3

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pshichka [43]

Answer:

21 animals in the forest

Step-by-step explanation:

The weasel

Felicity

The 19 other animals

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7 0
3 years ago
Triangle ABC has vertices at A(-3,4)B(4,-2)C(8,3).The triangle is translated 4 units down and 3 units left . Which rule represen
FinnZ [79.3K]

Answer:

see explanation

Step-by-step explanation:

A translation of 4 units down means subtract 4 from the y- coordinate of the original point and a translation of 3 units left means subtract 3 from the original x- coordinate, thus translation rule is

(x, y ) → (x - 3, y - 4 )

Thus

C(8, 3 ) → C'(8 - 3, 3 - 4 ) → C'(5, - 1 )

8 0
3 years ago
3. A penny is made by combining 0.1 g of a copper alloy that costs $5.50 per kilogram (1000 grams) with
lbvjy [14]
.0001*5.5 + 1.5*x = 2
x=1.33 kg
6 0
3 years ago
Find the range.<br><br>3 -9 7 -1 5 -4 2 ​
ikadub [295]

Answer: The range is 94.

Hope this helps

8 0
3 years ago
Find the distance between two points (5,10) and (-4,6)​
Helga [31]

Answer:

Explanation:

The formula for calculating the distance between two points is:

d

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

Substituting the values from the points in the problem gives:

d

=

√

(

−

6

−

−

3

)

2

+

(

−

4

−

−

5

)

2

d

=

√

(

−

6

+

3

)

2

+

(

−

4

+

5

)

2

d = √ ( − 3 ) 2+ 1 2

d = √ 9+ 1

d = √ 10

Or

d = 3.162

rounded to the nearest thousandth

7 0
3 years ago
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