1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SCORPION-xisa [38]
3 years ago
6

The radius of the circle whose equation is (x - 3)² + (y + 1)² = 16 is

Mathematics
2 answers:
xxTIMURxx [149]3 years ago
5 0
<span>A circle whose center is located at point (a, b) having a radius of length r has the equation:
(x -a)² + (y -b)² = r²

Therefore the radius = sq root (16) which = 4

Source:
http://www.1728.org/circle.htm

</span>
kotegsom [21]3 years ago
5 0
<h2>Answer:</h2>

The radius of the circle whose equation is (x - 3)² + (y + 1)² = 16 is:

                              4 units.

<h2>Step-by-step explanation:</h2>

We know that the general equation of a circle with center at (h,k) and radius 'r' is represented by the equation:

       (x-h)^2+(y-k)^2=r^2

Here we are given a equation as:

   (x-3)^2+(y+1)^2=16

i.e. on comparing the given equation with the general equation we have

h=3 and k= -1

and r^2=16

on taking square root we get:

r=4

          Hence, the radius of the equation is:

                            4 units

You might be interested in
Please answer this correctly, and you'll recieve brainliest. I need the CORRECT answer.
miv72 [106K]

Answer:

B.  

Plzzzzz give me Brainliest!  

5 0
3 years ago
What value of y makes the equation true. y+2.9=11
yawa3891 [41]

Answer:

y = 8.1

Step-by-step explanation:

y+2.9=11

Subtract 2.9 from each side

y+2.9-2.9 = 11-2.9

y =8.1

8 0
3 years ago
An archaeologist at a dig sets up a coordinate system using string. Two similar artifacts are found one at position (1, 4) and t
myrzilka [38]

Given:

Positions of two artifacts are at points (1, 4) and (5, 2).

To find:

The distance between these two artifacts.

Solution:

Distance formula: The distance between two points is

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula, the distance between two points (1, 4) and (5, 2) is

d=\sqrt{(5-1)^2+(2-4)^2}

d=\sqrt{(4)^2+(-2)^2}

d=\sqrt{16+4}

d=\sqrt{20}

d=4.4721359

Round to the nearest tenth of a unit.

d\approx 4.5

Therefore, the distance between two artifacts is 4.5 units.

4 0
3 years ago
1/3 of a number T is less than or equal to five
ZanzabumX [31]

Answer: x ≤ 15

Step-by-step explanation: All we need to do is divide both sides by 1/3, so1/3x / 1/3 and 5/ 1/3 = 15. So x  ≤ 15.

Hope this helps!

8 0
3 years ago
Read 2 more answers
Write a problem that could be modeled with y=200(0.9).
Lunna [17]

First, I need to decide what equation this is like.

I believe this is y=mx.

We know that x is typically the input, and m is the constant function.

Y is the output.

So the original function may have been y=200x.

The only difference is now we've been given something to apply to the equation, in place of x.

2. <em>Imagine a cloning machine. Whatever you put in, you get a copy of, and the original thing you put in. Its function would be y=2x. Let's pretend we decided to put three things in; 3 would go where x is. </em>

<em>Y would be the result of 3 copies and their originals, or 2(3).</em>

<em>(6=2(3))</em>

<em>Now, when someone else decides to use the cloning machine, they may put any number in, but the only properties that will change are y and x, not m.</em>

<em>The function will remain y = 2x. Any number could go in place of x, and multiplying x by 2 will give you the y. As long as you have a different value for x, the y will never be the same.</em>

3. So now we have an understanding of what it means, we see that we have been given an x value to insert; an input.

A more practical example could be someting with money. This won't be entirely realistic, because we are dealing with a fraction of a number and another large number.

4. I decided to go with flour. I wanted the 200 to represent pennies, or cents. Before I landed on this, I looked up the cost of flour per pound. I found that the average is .43 dollars, which isn't terribly close to two dollars. But maybe the flour is high quality, so we can stick with that.

5. Seeing that this equation, y=200x, means we are charging 200 cents, or two dollars, we can write a problem from here.

Sylvia is in charge of selling home-harvested flour from an organic farm. She charges two dollars per pound of flower. Today, her next-door neighbors hope to buy a ninth of pound of flour, and they insist on paying with pennies. How many pennies do they need to pay for their order?

<em>Let me know if this helped, or if you have any questions! </em>

3 0
3 years ago
Other questions:
  • Simplify the Matrix Operation <br> 4[-4 5 -6]
    14·1 answer
  • A motorcycle purchased for 12,500 today will be valued 7% less each year. How much could you expect to receive for the motorcycl
    11·1 answer
  • Anna calculated the area of a parallelogram with a base of 7 2/5 in the height of 2M her work is shown
    10·1 answer
  • A rectangle is 3 1/2 inches by 2 1/4
    6·1 answer
  • A merchant bought 30 dozen pairs of gloves. How many individual gloves did the merchant buy? A-720 B-420 C-300
    13·1 answer
  • Using Euler's relation, derive the following relationships:a. Cosθ=½(e^jθ+e^−jθ)b. Sinθ=½(e^jθ−e(^−jθ)
    8·1 answer
  • How fair is 50% of 140 yards? <br><br> 60yards <br> 50yards<br> 70yards<br> 80yards
    7·2 answers
  • Simplify to combine the Like Terms
    8·2 answers
  • let their number of sides of a regular polygon is 6 in its radius is 5,then find the length of the side.​
    14·1 answer
  • What is the area of stuvwx in the parallelogram below?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!