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
r-ruslan [8.4K]
3 years ago
11

What is the radius of a circle whose equation is x2 y2 8x – 6y 21 = 0?

Mathematics
2 answers:
andrew11 [14]3 years ago
8 0

we know that

the standard form of the equation of the circle is

(x-h)^{2} +(y-k)^{2}=r^{2}

where

(h,k) is the center of the circle

r is the radius of the circle

In this problem we have

x^{2} +y^{2} +8x-6y+21=0

<u>Convert to standard form</u>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x^{2}+8x) +(y^{2}-6y)=-21

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

(x^{2}+8x+16) +(y^{2}-6y+9)=-21+16+9

(x^{2}+8x+16) +(y^{2}-6y+9)=4

Rewrite as perfect squares

(x+4)^{2} +(y-3)^{2}=4

(x+4)^{2} +(y-3)^{2}=2^{2}

the center of the circle is (-4,3)

the radius of the circle is 2\ units

therefore

<u>the answer is</u>

the radius of the circle is 2\ units


uranmaximum [27]3 years ago
6 0

Answer:

Should be (A) on ED

Step-by-step explanation:

You might be interested in
Melanie wants to create a pattern using a transformation that will change the orientation of a figure but not the orientation of
Ira Lisetskai [31]

Answer:

Rotations

Step-by-step explanation:

The orientation of the figure is how the whole shape appearance. You don't need to name vertice to determine the orientation of the figure. It will not change from translations and dilations, so these two are out of option.

The orientation of vertices, on the other hand, needs you to know the vertice name. It can be expressed as clockwise or counterclockwise. The orientation of vertice will be preserved for translations, rotations, and dilations so it should be one of them. Notice that translation and dilation already out of option so the answer will be rotations.

4 0
3 years ago
The difference of seven halves and six quarters is multiplied by negative two fifths. Find this rational number.
malfutka [58]
First, the difference is 7/2 - 6/4 = 14/4 - 6/4 = 8/4

Now multiply it: 8/4 x (-2/5) = -16/20 = -4/5
5 0
3 years ago
Rewrite each expression using each base only once<br> 5^4*5^-6*5
erastovalidia [21]
5^4 * 5^(-6) * 5

= 5^4 * 5^(-6) * 5^1

= 5^[ 4 + (-6) + 1 ]

= 5^[ 4 - 6 + 1 ]

= 5^(-1) <----- this is the answer.


I hope this helps. =)
7 0
3 years ago
Hi, I was doing a problem to review for my semester exam in geometry, and I came across a problem that didn't make sense. I know
VARVARA [1.3K]
The answer is its FG
7 0
3 years ago
Read 2 more answers
Which pair of lines are perpendicular lines?
Evgen [1.6K]

Answer:

Lines that cross one another.

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • A paint can has a radius of 4 inches and a height of 15 inches. What is the volume of the paint can? Round to the nearest tenth.
    7·2 answers
  • The key on a map shows 3/8th of an inch is 60 miles. If two cities are 4 5/8 inches apart, what is this value in miles?
    5·1 answer
  • A drawer contains 12 brown socks and 12 black socks, all unmatched. A man takes socks out at random in the dark. 21. Required in
    13·1 answer
  • It takes 85 pails of water to fill up a tank. If the capacity of each pail is 2.65 gallons , what ai the capacity of the tank?
    13·1 answer
  • A market sells blueberries for $3 per pint. The first day, the market sold a total of $35 worth of blueberries. The second day,
    12·1 answer
  • A cabinet is 1.5 meters tall. If 1 meter is approximately 1.09 yards, how tall is the cabinet, in yards?
    7·1 answer
  • Find the value of h(x) = -3x – 12 when x = -2? Show work
    10·1 answer
  • Please help me calculation completing square?<br>x²+2x-24=0?​
    8·1 answer
  • In a triangle, measure of one angle is 60º. The measure of one of the remaining two angles is twice the other. Find the measure
    10·1 answer
  • 3. If the perimeter of an equilateral triangle is 36 ft, what is the length of one side?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!