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
Anestetic [448]
3 years ago
12

A circle in the xy-plane has a diameter with endpoints whose coordinates are negative 1 comma negative 3 and 7 comma 3. if the p

oint with coordinates 0 comma b lies on the circle and b is greater than 0, what is the value of b ?
Mathematics
2 answers:
DerKrebs [107]3 years ago
8 0

<span>First we look for the coordinates of the center of the circle. For this, we use the following formula:</span>

<span> ((x1 + x2) / 2, (y1 + y2) / 2)</span>

<span> Where,</span>

<span> (x1, y1) = (- 1, -3)</span>

<span> (x2, y2) = (7, 3)</span>

<span> Substituting values we have:</span>

<span> ((-1 + 7) / 2, (-3 + 3) / 2)</span>

<span> ((6) / 2, (0) / 2)</span>

<span> (3, 0)</span>

<span> We are now looking for the diameter of the circle. For this we use the formula of distance between points:</span>

<span> d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)</span>

<span> Substituting values:</span>

<span> d = root ((7 - (- 1)) ^ 2 + (3 - (- 3)) ^ 2)</span>

<span> d = 10</span>

<span> Then, the radius of the circle is:</span>

<span> r = d / 2 = 10/2</span>

<span> r = 5</span>

<span> The circle equation will be</span>

<span> (x-h) ^ 2 + (y-k) ^ 2 = r ^ 2</span>

<span> Where,</span>

<span> (h, k) = (3, 0)</span>

<span> r = 5</span>

<span> Substituting</span>

<span> (x-3) ^ 2 + (y-0) ^ 2 = 5 ^ 2</span>

<span><span> Substituting</span></span>

<span><span> (x, y) = (0, b)</span></span>

<span><span> (0-3) ^ 2 + (b-0) ^ 2 = 5 ^ 2</span></span>

<span><span> b = root (25-9)</span></span>

<span><span> b = root (16)</span></span>

<span><span> b = 4</span></span>

<span><span> Answer</span></span>

<span><span> the value of b is</span></span>

<span><span> <span>b = 4</span></span></span>


In-s [12.5K]3 years ago
5 0

Answer:

b = 4

Step-by-step explanation:

You might be interested in
Find the circumference of this circle. Round to the nearest tenth.<br><br> Area= 63.6 inches squared
Virty [35]

Answer:

C = 28.048

Step-by-step explanation:

Circumference = 2pi(r)

Area = pi(r)^2

62.6 = pi(r)^2

r^2 = 62.6/pi

r^2 = 19.926

r = 4.464

Therefore, circumference = 2pi(4.464)

= 28.048

3 0
3 years ago
Read 2 more answers
PLS HELP MEEEI NEED ANSWERS ASAP ASAP
Brums [2.3K]

Answer:

Associative.

Step-by-step explanation:

In addition and multiplication, it does not matter which two numbers you put together first. On the left aide 6 is associated with 3. On the right side 3 is grouped with 7.  It doesn't matter where 3 goes. You still get the same answer.

(6 + 3) + 7 = 6 + (3 + 7)

   9    +  7   =  6  + 10

        16  =  16

6 0
3 years ago
Initial Knowledge Check
Cloud [144]

Answer:

I believe it would be five dollars since if you divide the price with the percentage yknow

5 0
3 years ago
The backboard of the basketball hoop forms a right triangle with the supporting rods, as shown. Use the
svlad2 [7]

Answer:

9.14 inches.

Step-by-step explanation:

From the question,

Assuming the diagram attached, is similar to diagram required to support the question,

From the diagram,

Applying pythagoras theorem

a² = b²+c²...................... Equation 1

Where a = 13.4 in, b = x in, c = 9.8 in.

Substitute these values into equation 1

13.4² = x²+9.8²

x² = 13.4²-9.8²

x² = 179.56-96.04

x² = 83.52

x = √(83.52)

x = 9.14 inches

Hence the distance between the rods is 9.14 inches

8 0
3 years ago
Rewrite 3/9 as a mixed number
Daniel [21]
3/9 is already a fraction, you do not need to change it. 3/9 is not more than 9/9
4 0
3 years ago
Read 2 more answers
Other questions:
  • Juan's card was worth $800. Over the last 5 years, the collection decreased $300 in value, what integer represents the average d
    12·1 answer
  • joe bought a television for $286.26, includingbl tax. he made a down payment of $100.00 and paid the balance in 6 equal mouthly
    12·1 answer
  • The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:
    5·2 answers
  • Find the area of the region that is inside r=3cos(theta) and outside r=2-cos(theta). Sketch the curves.​
    7·1 answer
  • Ms. Maya was handing out breakfast with Ms. Perez. They were in a race to see who could be most efficient and hand out the most
    11·1 answer
  • Now factor the expression. 1/2 a + 6
    13·1 answer
  • 1. 1/2 x 4/7 =
    7·2 answers
  • Evaluate the following expression, when x=-2<br><br>2x^2+4x-3<br><br>A) 3<br>B) 3<br>C) -19<br>D) 9​
    12·2 answers
  • A Uber charges $3.50 for pick up and $0.40 per mile. The ride costs $7.50. How far did they travel?
    7·2 answers
  • Divide using long division. State the​ quotient, q(x), and the​ remainder, r(x).
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!