In a circle, an angle measuring 2π radians intercepts an arc of length 14π. Find the radius of the circle in simplest form.

Answers

Answer 1
Answer:

Answer:

7 radians

Step-by-step explanation:

In a circle, an angle measuring 2π radians intercepts an arc of length 14π. Find the radius of the circle in simplest form.

Since our Angle in in radians

The formula for Arc length = S = rθ

S = 14π

θ = central angle = 2π radians

Hence

r = S/θ

r = 14π/2π radians

r = 7 radians

Radius = 7 radians


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Solve by substitution
y=x+3
y=2x+5

Answers

y = x+3
y = 2x+5
x+3 = 2x+5
x+8 = 2x
x = 8

I think I did that right, anyway.
y=x+3
y=2x+5

1. Solve for the variable that is easiest to find. 
     In this case I will solve for x.
y=x+3
-3       -3
y-3=x

2. Now plug in (y-3) for x in the other equation.
   y=2(y-3)+5  ~use distributive property 
   y=2y-6+5     ~combine like terms
   y=2y-1
-2y=-2y
  -y=-1             ~multiply both sides by -1
   y=1
 
3. Since you have a value for y you can plug it in to solve for x.
     y=x+3
    1=x+3
    -3    -3
    -2=x

Answers: 
y=1
x=-2


Use the form y=mx +b for linear equations.Write the equation for the following relation.C = {(x, y): (6, 15), (8, 21), (10, 27), . . .}

Answers

I'm not sure if the answer is right, but here you go.

y=mx+b 

'm' is for gradient of the line. First, calculate the gradient.

Let's use (6,15) and (8,21)

Gradient, m = y_(2)y_(1)
                    --------------
                     x_(2)x_(1)
                 
                 =  21 - 15     = 6       = 3
                     -----------      ----   
                       8 - 6         2
           
Therefore, m = 3 . Now let's search 'b' .
Let's use (6,15) again. Substitute it into the equation.

y=mx+b 
15 = 3 (6) + b
b = -3

Thus, the equation : y=3x -3 



Answer: Use Desmos.com/calculator

Step-by-step explanation:

Which expression is equivalent to 21 + 49?A 7(3 + 49)

B 7(3 + 7)

C 7(14 + 42)

D 7(14 + 49)

Answers

It would be the second choice, B. 7(3+7) because when you distribute, you get 21+49, because 7x3=21 and 7x7=49.
the answer would be b because 3+7 is 10 and multiple that by 7 is 70. and 20 plus 49 is 70

Determine the intercepts of the line x intercept ...... y intercept ?​

Answers

Answer:

Step-by-step explanation:

x-intercept if when y is 0, so, on the x-axis. as we can see the x-intercept is -40

y-intercept if when x is 0, so, on the y-axis. as we can see the y-intercept is 15

Answer:

x-intercept: (-40,0)

y-intercept: (0,15)

Step-by-step explanation:

The x-intercept is the point where the line meets the x-axis, and the y-intercept is the point on the line which meets the y-axis.

The line intersects the y-axis at 15, so the y-intercept is (0, 15).

The line intersects the x-axis at -40, so the x-intercept is (-40, 0).

Hope this helps :)

Each week, Marcia travels to the office where she works, the supermarket, and a local fitness center. The three locations represent the vertices of a triangle. Marcia wants to move to an apartment that is equidistant from these three places. Where should her new apartment be located?

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The choices are:
a.the center of the inscribed circle of the triangle
b.the center of the circumscribed circle of the triangle
c.the point of intersection of the angle bisectors for the triangle
d.the point of intersection of the perpendicular bisectors and the angle bisectors for the triangle

The answer to your question is B. 
I hope that this is the answer that you were looking for and it has helped you.

b is the correct answer

Which of the following identities would be the best option to use to verify the identity below?

Answers

is there any choices for it