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
erastovalidia [21]
3 years ago
9

If the endpoints of the diameter of a circle are (9, 4) and (5, 2), what is the standard form equation of the circle?

Mathematics
1 answer:
sattari [20]3 years ago
4 0
The standard forrm equation of the circle is (x-h)² + (y-k)² = r²
where h,k : x,y-coordinate of the center
           r : radius of the circle
Get the center of the circle : h = (x1 + x2)/2 = (9+5)/2 = 7
                                             k = (y1 + y2)/2 = (4+2)/2 = 3
=> the center is (7,3)
Because the given information gave 2 endpoints so we can choose one of these, then use the distance formula to get the radius
                                            r = √(x1 - h)² + (y1 - k)²
                                            r = √(9 - 7)² + (4 - 3)²
                                            r = √2² + 1² 
                                            r = √5
Finally, the equation of the circle is (x - 7)² + (y - 3)² = (√5)²
                                                        (x - 7)² + (y - 3)² = 5
You might be interested in
Give a rule of the piecewise-defined function.
nataly862011 [7]

The equation of the piecewise function is f(x) = \left[\begin{array}{ccc}3&x \le -1\\-1&x > 2\end{array}\right

<h3>The piecewise function</h3>

On the graph, we have:

  • y = 3 for all x values not more than -1
  • y = -1 for all values greater than 2

Hence, the piecewise function is:

f(x) = \left[\begin{array}{ccc}3&x \le -1\\-1&x > 2\end{array}\right

<h3>The domain of the function</h3>

This is the set of input values

In (a), we have:

x ≤ -1 and x > 2

Hence, the domain is (∞, 3] u (2, ∞)

<h3>The range of the function</h3>

This is the set of output values

In (a), we have:

f(x) = 3 and f(x) -1

Hence, the range is [3] u (-1)

Read more about piecewise function at:

brainly.com/question/18859540

#SPJ1

5 0
1 year ago
Three consecutive odd integers have a sum of -3.What are the integers
sergiy2304 [10]
The consecutive integers are -1
7 0
3 years ago
Solve 3(x+3) &gt;4(x-4)
frutty [35]

3 X + 9 is greater than 4 x minus 16

+ 25 is greater than x

6 0
3 years ago
The equation y = 0.25x describes a proportional relationship between x and y. What is the constant of proportionality?
hoa [83]

Answer:

k = 0.25

Step-by-step explanation:

The standard equation of a proportional relationship is

y = kx ← k is the constant of proportion

y = 0.25x ← is in this form

with k = 0.25

8 0
2 years ago
Please help me! I’m begging you I’ll mark you brainly! I need it by now
Inessa05 [86]

Answer:

Boxes at the top are as follows

Monomial. 1. 4x

Binomial. 2. 4x+2

Trinomial. 3.

Polynomial. More than 3.

{5x}^{4}  +  {2x}^{3}  +  {12x}^{2}  + 135

This would be an example of a polynomial ^

Omit the next highest term to get a trinomial etc

1. 4th degree. Leading term:

{x}^{4}

Leading coefficient: x

2. 2nd degree. Leading term:

- {7x}^{2}

Leading coefficient: -7x

It's a little confusing to read but that should be everything. Sorry it's not organized better

4 0
3 years ago
Other questions:
  • PLZ HELP ASAP WILL GIVE BRAINLIAST (GEOMETRY)
    8·1 answer
  • What number can you multiply by π to get a rational number?
    15·2 answers
  • QUESTION 30 ANSWER ASAP.
    13·2 answers
  • The times to pop a 3.4-ounce bag of microwave popcorn without burning it are Normally distributed with a mean
    8·1 answer
  • Circles and i neeeeed help
    9·2 answers
  • The measure of one of the acute angles in a right triangle is given. what is the measure of the other angle?
    15·1 answer
  • Assume that thermometer readings are normally distributed with a mean of 0 degrees C and a standard deviation of 1.00 degrees C.
    9·1 answer
  • Pls help will mark brainliest
    5·1 answer
  • 9.88 for 6 ground beef patties whats the unit rate​
    5·2 answers
  • Sketch a graph of polynomial function having these characteristics​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!