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
kap26 [50]
3 years ago
9

The endpoints of a diameter of a circle are (2, 4) and (-4, 7).

Mathematics
1 answer:
Levart [38]3 years ago
4 0

Answer:

(x+1)²+(y-5.5)²=45/4.

Step-by-step explanation:

1)  the common form of the required equation is: (x-a)²+(y-b)²=r², where 'a' and 'b' are the coordinates of the centre of the given circle, r - radius of the given circle.

2) the midpoint of the diameter is the centre of the given circle, its coordinates are:

\frac{2-4}{2}=-1; \ and \ \frac{4+7}{2}=5.5.

3) the length of the radius of the given circle is:

r=\frac{1}{2}*\sqrt{(2+4)^2+(4-7)^2)}=\sqrt{\frac{45}{4}}.

4) according to the common form and calculated the centre O(-1;5.5) and the radius it is possible to make up the required equation of the circle:

(x+1)^2+(y-5.5)^2=\frac{45}{4}.

You might be interested in
Solve for the values of x and y.
Alekssandra [29.7K]

Answer:

x = 20

y = 7.2

Step-by-step explanation:

12/x = 9/15

9x = 180

x = 20

12/x= y/12

12/20 = y/12

144 = 20y

y = 7.2

y = 20

8 0
3 years ago
What is the value of 6x - 3y if x = 5 and y= -1
nadezda [96]

Answer:

33

Step-by-step explanation:

6x - 3y

=> x = 5, y = -1 Substitute in the above equation,

=> 6(5) - 3(-1)

=> 6(5) + 3

=> 30 + 3

=> 33

5 0
3 years ago
Read 2 more answers
Calculate S58 for the arithmetic sequence {an}= {5/6n+1/3} If you could show me the steps that would be great. I keep following
Amanda [17]

Answer is 8671/6 which is the third choice

===================================

Work Shown:

Find the first term of the sequence by plugging in n = 1

a_n = (5/6)*n + 1/3

a_1 = (5/6)*1 + 1/3    replace n with 1

a_1 = 5/6 + 1/3

a_1 = 5/6 + 2/6

a_1 = 7/6

Repeat for n = 58 to get the 58th term

a_n = (5/6)*n + 1/3

a_58 = (5/6)*58 + 1/3    replace n with 58

a_58 = (5/6)*(58/1) + 1/3

a_58 = (5*58)/(6*1) + 1/3

a_58 = 290/6 + 1/3

a_58 = 145/3 + 1/3

a_58 = 146/3

Now we can use the s_n formula below with n = 58

s_n = (n/2)*(a_1 + a_n)

s_58 = (58/2)*(a_1 + a_58)    replace n with 58

s_58 = (58/2)*(7/6 + a_58)   replace a_1 with 7/6

s_58 = (58/2)*(7/6 + 146/3)   replace a_58 with 146/3

s_58 = (58/2)*(7/6 + 292/6)

s_58 = (58/2)*(299/6)

s_58 = (58*299)/(2*6)

s_58 = 17342/12

s_58 = 8671/6


5 0
3 years ago
Pls helppp i have a timer!! <br> (10 points)
Marianna [84]

Answer:

they are both corresponding angles (equal)

48=4x

48/4=x

12=x

6 0
3 years ago
Read 2 more answers
Add 3/14+4/14 simply your answer
Mila [183]

Answer:

\Large \boxed{\frac{1}{2}}

Step-by-step explanation:

\displaystyle \frac{3}{14} +\frac{4}{14}

Add the fractions since the denominators are the same.

\displaystyle \frac{3+4}{14}

\displaystyle \frac{7}{14}

Simplifying the fraction.

\displaystyle \frac{7(1)}{7(2)}

\displaystyle \frac{1}{2}

5 0
3 years ago
Other questions:
  • Roy has 4-1/2 pizzas for the soccer team to split after the game. If each member is going to get 1/2 a pizza, how many players a
    15·1 answer
  • A state park has two pools. The olympic size pool holds 8.12 x 105 gallons of water and the smaller pool holds 5.27 x 105 gallon
    10·2 answers
  • A credit card company charges 24.99% annually for its interest rate. There is a a 2450 balance.how much interest would be charge
    8·1 answer
  • Does anyone know what the answer is???
    15·1 answer
  • What would be the value of x please help
    7·1 answer
  • A number divided by 4 is 3. Write and solve an equation to find the missing number.
    10·1 answer
  • Help plzzzzzzzzzzzzzz ​
    12·1 answer
  • Please help me!
    10·1 answer
  • Pls help !<br> Given: mED = 50°,<br> m Find:
    10·1 answer
  • Find three quarters of a tenth of 800
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!