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Sedaia [141]
3 years ago
7

A circle is represented by the equation below: (x + 8)2 + (y − 3)2 = 100 Which statement is true?

Mathematics
2 answers:
ss7ja [257]3 years ago
8 0

Answer:

The circle is centered at (-8,3) and has a diameter of 20 units

Step-by-step explanation:

we know that

The equation of a circle in center radius form is equal to

(x-h)^2+(y-k)^2=r^2

where

(h,k) is the center of the circle

r is the radius of the circle

In this problem we have

(x+8)^2+(y-3)^2=100

so

The center is the point (-8,3)

The radius is r=\sqrt{100}=10\ units

so

The diameter is two times the radius

D=2(10)=20\ units

therefore

The circle is centered at (-8,3) and has a diameter of 20 units

vladimir1956 [14]3 years ago
5 0

Answer:

The circle is centered at (-8, 3) and has a diameter of 20.

Step-by-step explanation:

Source - I took the test.

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A bowl contains 7 pennies, 9 nickels, and 4 dimes. Elyse removes one coin at random from the bowl and does not replace it. She t
Vlad [161]

Answer:

The probability is 3/95

Step-by-step explanation:

Okay this is a probability without replacement question.

Firstly we calculate the total number of coins = 7 + 9 + 4 = 20 coins

The probability that the first coin will be a dimes = number of dimes/total number of coins = 4/20 = 1/5

Now she removes a coin without replacement, if it was a dime, total number of coins becomes 19 and the total number of dimes becomes 3; Thus the probability of the second coins being a dimes = 3/19

Thus, the probability of both coins being dimes = probability of first coin being dimes * probability of second coins being dimes

= 1/5 * 3/19 = 3/95

6 0
3 years ago
Write the equation of the line that passes through (5.-9) and (2.5).
Kipish [7]

Answer:

y = -14/3x + 43/3

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - (-9) / 2 - 5

14 / -3

- 14/3

y = -14/3x + b

5 = -14/3(2) + b

5 = -28/3 + b

43/3 = b

y = -14/3x + 43/3

4 0
3 years ago
In 2007, there were more than 8.14 million cars for sale. Over the next 3 years, the number of cars decreased by 23%. Write an e
Nina [5.8K]

Answer:

c = 8.14 million×(0.9166)^t

4.83 million  

Step-by-step explanation:

Data:

  t = y - 2007

c₀ = 8.14 million

c₃  = 23 % less than c₁

Part 1. Calculate c₃

c₃ = c₀(1 - 0.23) = 0.77c₀

Part 2. Calculate r

      c₃ = c₀r^t

0.77c₀ = c₀r³

   0.77 = r³              Divided each side by c₀

         r = 0.9166     Took the cube root of each side

The explicit decay model is c = 8.14 million×(0.9166)^t

Part 3. Prediction

t = 2013 - 2007 = 6

c = c₀r^t = 8.14 million×(0.9166)⁶ = 8.14 million × 0.5929 = 4.83 million

The model predicts that there will be 4.83 million cars for sale in 2013.

7 0
3 years ago
Suppose you inherited a house that was purchased in 1950 for 20,000. It is now 2015 and the value of the house has increased by
Masja [62]

Answer:

I think the house would now costs $85,000

Step-by-step explanation:

First, I multiplied by how many years between 1950 to 2015 and 5 to get 325.

Next, I divided 20,000 by 100 to get 200 to find 1% of 20,000.

Then, I multiplied 325 by 200 to get 65,000

Finally, I added 20,000 to 65,000 to get 85,000

So, I guess/answer is $85,000

If I was wrong, then just say, "Sorry, but that was incorrect."

5 0
3 years ago
Read 2 more answers
How to work out the volume of a cone?
Romashka [77]
Volume of a cone = πr²h/3. π=3.14 R=radius. hope this helps you :)
4 0
3 years ago
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