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ExtremeBDS [4]
3 years ago
14

Consider a circle whose size can vary. The circumference of the circle is always 2 π 2π times as large as its radius. Let r r re

present the radius of the circle (in feet) and let C C represent the circumference of the circle (in feet). Write a formula that expresses C C in terms of r r. Preview
Mathematics
1 answer:
Alenkasestr [34]3 years ago
4 0

Answer: C=2\pi r

Step-by-step explanation:

Let be "C" the circumference of the circle (in feet) and "r" the radius of the circle (in feet).

Based on the information provided in the problem, you know that the circumference of the circle is always 2\pi as large as its radius.

Notice that this indicates a multiplication. Then, this means that the circumference of the circle is always equal to 2\pi by "r".

Based on this, you can write the following formula that expresses the circumference "C" in terms of the radius "r":

C=2\pi r

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Select the correct answer from each drop-down menu.
Anettt [7]

y = -3/5(x-3)

y= (-3/5) x + 9/5

Step-by-step explanation:

Step 1 :

The equation of line in point and slope form is (y- y intercept) = m(x-x intercept)

Where m represents the slope and x1 and y1 are points on the line.

Given (-2,3) and (3,0) are points on the line

m = (y2-y1)/(x2-x1) = (0-3)/(3-(-2)) = -3/5

So the equation of the line in point slope form is

(y-0)= -3/5(x-3) = y = -3/5(x-3) [taking the point as (3,0)]

Step 2 :

The equation of a line in slope and intercept form is  y = m x +c

m denotes the slope and the constant c denotes the y intercept (the value of intercept in the y axis when x = 0)

when x = 0, y = 9/5 [using the equation in step 1]

Hence the equation in slope and intercept form is

y= (-3/5) x + 9/5

7 0
3 years ago
Write an equation in point-slope form: (-2,-3) and (8,-8).
viva [34]

Answer:

y + 9 = 6(x - 4)

Step-by-step explanation:

7 0
3 years ago
What numbers multiply together to get 6 and add together to get 7
aev [14]

It would be 6 and 1 cause:

6 × 1 = 6

6 + 1 = 7

Hope that helps :D

4 0
3 years ago
Read 2 more answers
Jessica has money in two savings accounts. One rate is 11% and the other is 14%. If she has $300 more in the 14% account and the
Gelneren [198K]

Answer:

  • $272 was invested in the  savings account at 11%
  • $572  was invested in the  savings account at 14%

Step-by-step explanation:

Let the amount in the savings account with 11% interest =x

She has $300 more in the 14% account.

Therefore amount saved at 14%=x+300

Simple Interest= Principal X (Rate/100) X Time

Since, the time is not given, we assume an annual interest.

Therefore, Time =1 Year

Total Interest = $110

Now, our total interest will be a sum of the interest earned at 11% and the interest earned at 14%.

110=(x*0.11*1)+[(x+300)*0.14*1]\\110=0.11x+0.14x+42\\110=0.25x+42\\\text{Subtract 42 from both sides}\\110-42=0.25x+42-42\\68=0.25x\\\text{Divide both sides by 0.25 to obtain x}\\\frac{68}{0.25} =\frac{0.25x}{0.25} \\x=\$272

Therefore:

  • $272 was invested in the  savings account at 11%
  • $572  was invested in the  savings account at 14%

Cheers!

6 0
3 years ago
I do not know the answer to this question. I need help
Levart [38]

Answer:

(-6,-4)

Step-by-step explanation:

6 0
3 years ago
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