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
sergeinik [125]
3 years ago
7

Find an equation of the circle that satisfies the given conditions. Endpoints of a diameter are P(−2, 1) and Q(8, 9)

Mathematics
1 answer:
IrinaK [193]3 years ago
4 0

Answer:

Equation of the circle   (x-3)²+(y-5)²=(6.4)²

                             x² -6x +9 +y² -10y +25 = 40.96

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given endpoints of diameter P(−2, 1) and Q(8, 9)

Centre of circle = midpoint of diameter

                   Centre = (\frac{-2+8}{2} ,\frac{1+9}{2} )

               Centre (h, k) = (3 , 5)

<u><em>Step(ii):-</em></u>

The distance of two end points

PQ = \sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^{2}  }

PQ= \sqrt{(8+2 )^{2} +(8 )^{2}  }

PQ = √164 = 12.8

Diameter    d = 2r

                 radius r = d/2

                Radius r = 6.4

<u><em>Final answer:-</em></u>

Equation of the circle  

                    (x-h)²+(y-k)² = r²

                   (x-3)²+(y-5)²=(6.4)²

x² -6x +9 +y² -10y +25 = 40.96

x² -6x  +y² -10y  = 40.96-34

x² -6x  +y² -10y -7= 0

You might be interested in
Find the value of x to the nearest tenth. (The last answer is 13.3)
Julli [10]
Your answer is the first option, 8.0. You can find this by using the sine rules for sides, so:
10/sin(90) = x/sin(53)
× sin(53)
7.98 = x
And 7.98 rounded to the nearest tenth is 8.0.
I hope this helps!
8 0
3 years ago
Read 2 more answers
4/5x+5=9 solve for x please i have 8 questions left!!!!!!!!!!!
NemiM [27]

Answer:

x= 5

Step-by-step explanation:

You need to get rid of the fraction first and to do that you muliply the whole equation by 5 so that your new equation reads 4x+25=45. Then you subtract 25 from both sides so you have 4x=20. Divide both sides by 4 so x=5.

5 0
3 years ago
Find the value of the expression.<br> c²b<br> for b = 5 and c = 3
kicyunya [14]

Answer:

45

Step-by-step explanation:

c^2*b

We know that c is 3, and b is 5, so we can substitute them in

3^2*5

Solve the exponent first

9*5

Multiply

45

7 0
3 years ago
Read 2 more answers
Sandy receives a $50000 salary for working as an engineer. If Sandy spends 60% of her
MrMuchimi

Answer:

Step-by-step explanation:

1. 50,000 x .60

2. 50,000 x .60 = 30,000

She spends 30,000 dollars on expenses per year.

6 0
3 years ago
Read 2 more answers
Write an expression that I’d equivalent to 1/2a - 4. URGENT, LIMITED TIME.
SCORPION-xisa [38]

Answer:

1/2(a-4)

Step-by-step explanation:

first blank is 1/2 and second is 4.

7 0
2 years ago
Other questions:
  • Explain how to find the estimated sum of 5/8+2/9 . Make sure to include at least one type of model.
    8·1 answer
  • Simplify the following expression:<br> Sqrt (-16) + sqrt(-25+5)
    13·1 answer
  • Find Horizontal and Vertical asymptotes for y=(x^2 -9)/(4x^2 +1)
    12·1 answer
  • What is the vertex of the graph of y= x ^2+4x
    9·1 answer
  • How is 〖−3〗^4and 〖(−3)〗^4similar and different?
    14·1 answer
  • The ratio of 5 red trucks / 9 white trucks
    5·1 answer
  • Find the value of x for the given value of y.<br> y = x/4 -7; y = 2
    12·2 answers
  • Can y’all give me some awnsers and number to them?
    6·1 answer
  • Find the measure of angle x 125
    8·2 answers
  • The mean plus the standard deviation is:
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!