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hoa [83]
1 year ago
15

The circle below is centered at the point (-3/4) and has a radius of length 3 what is its equation??

Mathematics
2 answers:
Agata [3.3K]1 year ago
6 0
{x-(-3/4)}^2=3^2
(x+3/4)^2=9
{(4x+3)/4}^2=9
(4x+3)^2/16=9
(4x+3)^2=9*16
16x^2+2*4x*3+3^2=144
16x^2+24x+9=144
16x^2+24x+9-144=0
16x^2+24x-135=0
Juli2301 [7.4K]1 year ago
4 0

Answer:

  (x+3)^2+(y-4)^2=9

Step-by-step explanation:

We are given a circle which is centered at the point (-3,4) and has a radius of length 3.

We have to find the equation of the circle.

The equation of circle centered at (a,b) and radius r is:

   (x-a)^2+(y-b)^2=r^2

Here a=-3 , b=4 and r=3

Hence, equation of circle is:

   (x+3)^2+(y-4)^2=3^2

      (x+3)^2+(y-4)^2=9

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$113.50

Step-by-step explanation

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1 year ago
The equation r(t)= (2t)i + (2t-16t^2)j is the position of a particle in space at time t. Find the angle between the velocity and
ankoles [38]

Answer:

The answer is 135 degrees.

Step-by-step explanation:

As we are given the position. If we take the <u>derivative</u>, we get the velocity vector. If we take the <u>derivative</u> again, we find the acceleration vector of the particle.

r(t)=(2t)i+(2t-16t^{2})j

V(t)=2i+(2-32t)j

a(t)=-32j

At time t=0;

v(t)=2i+2j

a(t)=-32j

As i attach in the picture the angle between the velocity and acceleration vector is (45+90)=135 degrees

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2 years ago
Which statements are true about the reflectional symmetry of a regular heptagon? Check all that apply. It has only 1 line of ref
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The answer is:

1- A line of symmetry will connect a vertex and a midpoint of an opposite side.

2- It has 7-fold symmetry.

The explanation for this answer is shown below:

1- By definition, a line of symmetry is an imaginary line that divides a figure into two equal images or equal halves. If you connect a vertex and a midpoint of an opposite side of an heptagon by drawing a line, you will obtain two equal halves.

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Which of the following represents the general term for the sequence 2, 4, 6, 8, 10, . . .?
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Find the missing probability. P(A)=15,P(A∪B)=1225,P(A∩B)=7100 ,P(B)=?
Llana [10]

Answer:

<h2>p(B) = 8310</h2>

Step-by-step explanation:

We will use the addition rule of probability of two events to solve the question. According to the rule given two events A and B;

p(A∪B) = p(A)+p(B) - p(A∩B) where;

A∪B is the union of the two sets A and B

A∩B is the intersection between two sets A and B

Given parameters

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Required

Probability of event B i.e P(B)

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p(B) = 8310

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