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raketka [301]
3 years ago
6

3. The equation of a circle is x^2+y^2-4x+2y-11=0 . What are the center and the radius of the circle? Show your work.

Mathematics
1 answer:
Charra [1.4K]3 years ago
7 0
Rewrite in standard form to find the center (h,k) and redius r.
center: (2,-1)
Radius:4
have a great day!!!
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Two​ high-speed ferries leave at the same time from a city to go to the same island. The first​ ferry, the​ Cat, travels at 34 m
djyliett [7]

Answer:

They will be 5 miles apart in 1 hour

Step-by-step explanation:

Here, we want to calculate the time it will take for the two ferries to be 5 miles apart

Mathematically; distance = speed * time

Let the number of hours be x

In x hours, the cat will have traveled 34 * x = 34x miles

In x hours, the Bird will have traveled 29 * x = 29x miles

So;

34x - 29x = 5

5x = 5

x = 5/5

x = 1 hour

4 0
2 years ago
Jean’s salary last month was $3200. Because of worse beneficial result of her company, this month her salary decreased to $2720.
vesna_86 [32]

Answer:

15%.

Step-by-step explanation:

3200 x .15 = 480

3200 - 480 = 2720

Feel free to let me know if you need more help! :)

5 0
3 years ago
Sanjay borrowed 7,000 at a simple interest rate of 3% per year. After a certain number of years he had paid $840 in interest alt
alexgriva [62]

Answer:

It was 4 years.

Step-by-step explanation:

To solve this problem we need to use the appropriate formula for simple interest, which is shown below:

M = C*r*t

Where M is the amount of interest, C is the initial amount of money, r is the rate of interest and t is the time elapsed in years. Applying the data from the problem we have:

840 =7000*0.03*t

840 = 210*t

210*t = 840

t = 840/210

t = 4

It was 4 years.

7 0
2 years ago
An 8 ounce mug requires 0.3 cup of hot cocoa mix. How much hot cocoa mix is needed for a 12 ounce mug?
8090 [49]

Answer:

0.45  

Step-by-step explanation:

Step 1:

\frac{8}{0.3} =\frac{12}{x}

Step 2:

8 · x = 0.3 · 12

8x = 3.6

Last Step: Divide both sides by 8 to isolate the value x

3 0
3 years ago
Round the following numbers and estimate the product 52.84x28
Alona [7]
50x30=1500 (this is an approximated rounded answer)
3 0
3 years ago
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