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
Type 8,580 words in 2 hours 45 minutes
Inessa05 [86]
You would average 52 words a minute.

8580 / 165 (60 + 60 + 45) = 52
6 0
2 years ago
Which of the side lengths could form a triangle? A) 2 cm, 2 cm, 4 cm B) 3 cm, 5 cm, 10 cm C) 3 cm, 4 cm, 5 cm D) 4 cm, 8 cm, 15
Deffense [45]
The correct answer for USATesprep is


C) 3 cm, 4 cm, 5 cm
7 0
3 years ago
Read 2 more answers
The following cone has a height of 12 cm and a slant height of 13 cm. A right angle is formed between the height and radius of t
Pachacha [2.7K]

Length of the radius of the cone is equals to 5 cm.

<h3>What is right circular cone?</h3>

" A right circular cone is the 3 dimensional solid shape, which has an axis that is perpendicular to its circular base."

Formula used

Pythagoras theorem

(Hypotenuse)² = (adjacent side)² + (opposite side)²

According to the question,

Slant height 'l' of the cone = 13cm

height 'h'  of the cone = 12cm

Let 'r' be the radius of the base of the cone.

As per the diagram,

InΔABC,

Apply Pythagoras theorem, we get

(l)² = (h)² +(r)²

Substitute the values of 'l' and 'h' in the formula we get,

  (13)² =(12)² + (r)²

⇒ (r)² = 169 - 144

⇒ r =√25

⇒ r = 5cm

Hence, length of the radius of the cone is equals to 5 cm.

Learn more about right circular cone here

brainly.com/question/12478210

#SPJ2

4 0
1 year ago
Read 2 more answers
. The sun was shining on 3 out of every 4 days. On what percent of the days was the sun not shining
Sati [7]

the sun was not shining on 1/4 of the days, which is equal to 25% of them.

hope this helps!! :)

7 0
3 years ago
Read 2 more answers
What number would represent the outlier in the following set of data?
Rom4ik [11]

Answer:

What number would represent the outlier in the following set of data?

10, 13, 9, 29, 15, 11, 14, 8, 10, 11, 17, 14, 12

17

13

29

8

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • A farmer sells 6.7 kilograms of apples and pears at the farmer's market. 1 4 of this weight is apples, and the rest is pears. Ho
    7·2 answers
  • What is the solution to the system of equation
    14·1 answer
  • 850 tens equals how many thousand
    7·1 answer
  • 2 eight and eleven hundredths as a decimal
    15·1 answer
  • At noon the temperature was 6°C. Over the next five hours the temperature dropped another 8 degrees. Then every hour until 9:00
    6·2 answers
  • So if a shark bites you do you bite it back. and what hit you in the face last night addicted ​
    5·2 answers
  • Can someone plz help with this? Thank you so much.
    12·2 answers
  • #1 need help asap plzzzzzzzzzzzz
    15·1 answer
  • You know how yo make 7 different types of cookies.you have time to make any 5 of them how many different combinations of cookies
    7·1 answer
  • Help I need some help due tomorrow
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!