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
sveta [45]
3 years ago
10

The graph of the equation x^2+6x+y^2-16y=-9 is a circle. Choose True or False for each statement

Mathematics
1 answer:
BigorU [14]3 years ago
7 0

Answer:

see the explanation

Step-by-step explanation:

we have

x^2+6x+y^2-16y=-9

<u><em>Convert the equation of the circle in center radius form</em></u>

Group terms that contain the same variable

(x^2+6x)+(y^2-16y)=-9

Complete the square twice. Remember to balance the equation by adding the same constants to each side

(x^2+6x+9)+(y^2-16y+64)=-9+9+64

(x^2+6x+9)+(y^2-16y+64)=64

Rewrite as perfect squares

(x+3)^2+(y-8)^2=8^2

The center of the circle is (-3,8)

The radius of the circle is 8 units

<u><em>Verify each statement</em></u>

A. The center of the circle is (3,-8).

False

The center of the circle is (-3,8)

B. The circle is tangent to the x-axis

True

The circle is tangent to x=5 and x=-11 and is tangent to y=0 and y=16

Remember that y=0 is the x-axis

C. The circle has a radius of 64

False

The radius of the circle is 8 units

You might be interested in
Please help me with the question
Furkat [3]

Answer:

4(7+y) and 4·7+4·y

Step-by-step explanation:

4(7+y)= 28+4y

4·7+4·y= 28+4y

4 0
3 years ago
Read 2 more answers
Amy’s grandmother is exactly 6 times older than Amy.
aev [14]

Answer:

i think it is 5 in not sure hope this had helped

Step-by-step explanation:

7 0
3 years ago
What is the smallest positive prime factor of 2017^2019 +2019^2017​
kogti [31]

Answer:

17

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The converse of a biconditional statement is always true.<br><br> True<br><br> False
Angelina_Jolie [31]
Yes it is always true a biconditional statement is defined to be true whenever both parts have the same truth value.
7 0
3 years ago
-6•(-18).......help this is due tomorrow
marin [14]
Two positives multiplied together give us a positive answer. and 18 • 6 is 108.
108 is the answer
hope this helped, xx
7 0
3 years ago
Read 2 more answers
Other questions:
  • A student says that the solution of 375=x -28 is 347. Explain the student error and find the correct answer
    8·2 answers
  • Find the number in the form x3579x that is divisible by 42.
    7·2 answers
  • A recipe calls for 4 sliced apples. You cut the apples into thirds. How many pieces of apple do you have?
    5·1 answer
  • -6-7(c+10)<br> will make brainiest to the first two people that answer correctly with explanation
    5·1 answer
  • Which of the following is the statement below describing? If a point is on the bisector of an angle, then it is equidistant from
    7·2 answers
  • What is the value of x is?
    15·1 answer
  • Please explain to me how to solve for x. Picture attached
    14·1 answer
  • the cos c of recycle Tin can varies directly as it's weight w in kilograms .if a junk shop pays 60 pesos per kilo of tin cans ho
    13·1 answer
  • Can anyone PLEASE help me with this!?
    9·1 answer
  • Which expression is equal to 6/7?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!