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
Ugo [173]
3 years ago
9

The endpoints of a diameter of a circle are (3, -2) and (-5, 8). What is the equation of the circle in standard form?

Mathematics
1 answer:
RUDIKE [14]3 years ago
4 0

Answer:

(x + 1)² + (y − 3)² = 41

Step-by-step explanation:

The center of the circle is the midpoint of the diameter.

(h, k) = ((x₂ + x₁)/2, (y₂ + y₁)/2)

(h, k) = ((3 + -5)/2, (-2 + 8)/2)

(h, k) = (-1, 3)

The radius is half the length of the diameter.

r = ½ √((x₂ − x₁)² + (y₂ − y₁)²)

r = ½ √((3 − -5)² + (-2 − 8)²)

r = ½ √(8² + 10²)

r = √41

Therefore, the equation of the circle is:

(x − h)² + (y − k)² = r²

(x + 1)² + (y − 3)² = 41

You might be interested in
Write answer on correct order so i would not be confused + no need for explanation
weqwewe [10]

Answer:

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the simplified value of the exponential expression 64 1/3?
notka56 [123]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

4

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

  • I am assuming that the fraction is supposed to be the exponent.  

⸻⸻⸻⸻

64^{\frac{1}{3}}\\--------\\\rightarrow \text{Recall the exponent rule: } a^{\frac{m}{n}}=(\sqrt[n]{a})^m\\\\\\\rightarrow \sqrt[3]{64}\\\\\rightarrow  \boxed{4}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

3 0
2 years ago
Solve using elimination.<br> 5x - 4y = -10<br> 5x - 5y = -5
jolli1 [7]

Answer:

(x,y) = (-6,-5)

Step-by-step explanation:

If you need the explanation let me know.

4 0
2 years ago
Read 2 more answers
a light bulb manufacturer randomly tests 1500 bulbs and finds that 2 are defective how many defective bulbs would be expected in
Fittoniya [83]
1500*16=24,000 16*2=32 There are 32 defective light bulbs.
4 0
3 years ago
Ken normally leaves work at 5:00 pm, but he is leaving 20 minutes late today. He decides to make up time by taking the toll road
kobusy [5.1K]

Answer:

The correct answer is: y=\frac{1}{3} x + 20

Step-by-step explanation:

As stated in the question that x represents the number of minutes his <em>normal</em> commute takes. Here the keyword is normal; in the <em>normal</em> commute, Ken takes side streets instead of the toll road.

However, in this scenario, we have to come up with the equation that takes Ken's commute via <em>toll road</em>.

Ken can travel 3 times faster by taking the toll road (Given), which can be represented in the mathematical terms in terms of x as follows:

x_{toll\_road}=\frac{1}{3}x

<em>Without considering Ken getting late, </em>the equation would become the following:

y=\frac{1}{3} x --- (A)

<em>As Ken is leaving late</em>, we have to incorporate that time as well by <em>adding</em> it in the aforementioned equation (A).

In this case, it's 20 minutes; therefore, the equation (A) will become:

y=\frac{1}{3} x+20

Hence, the correct answer is y=\frac{1}{3} x + 20.

4 0
3 years ago
Other questions:
  • The distance a baseball travels when a player hits the ball varies directly with the speed with which the player swings the bat.
    11·2 answers
  • You are given n = 5 measurements: 5, 3, 3, 8, 8. (a) calculate the sample mean, x. (enter your answer to one decimal place.)
    5·1 answer
  • BRAINLIESTT ASAP! PLEASE HELP ME :)
    15·2 answers
  • Helga signs up to coach hockey. She
    9·1 answer
  • If AB = 11, BC = 16 and CA = 14, list the angles of ABC in order from smallest to largest.
    8·1 answer
  • The sequence is recursive. Find the value of the next term in the sequence -14,-8,-2,4,10
    13·1 answer
  • Taylor bought 6 tickets to a movie. The price of each ticket was the same. After he bought the tickets, his account balance show
    9·2 answers
  • A cone has a volume of 314 cubic meters and a height of 12 meters. What is its radius?
    10·1 answer
  • The HCF of 12, 8 ,32 is?​
    10·1 answer
  • What is the variable of f(3) in the function below? f(x) =2^x
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!