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
Vesna [10]
3 years ago
7

Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credi

t.
x ²+ 4x + y ²− 6y = −4
Mathematics
1 answer:
In-s [12.5K]3 years ago
4 0
Get into form
(x-h)²+(y-k)²=r²
center is (h,k) and radius is r

complete the square for each
(x²+4x)+(y²-6y)=-4
take 1/2 of each linear coefienet and square it
4/2=2, 2²=4
-6/2=-3, (-3)²=9
add that to both sides
(x²+4x)+4+(y²-6y)+9=-4+4+9
(x²+4x+4)+(y²-6y+9)=9
complete the squares
(x+2)²+(y-3)²=3²
(x-(-2))²+(y-3)²=3²

the center is (-2,3) and radius is 3
You might be interested in
Please help!!! I very much need help, thank you!
Ilya [14]
The Pythagorean theorem tells you the square of the hypotenuse is equal to the sum of the squares of the sides.
  BC² = AB² + AC²
  BC² = 4² +4² = 32
  BC = √32 = 4√2
  BC = 4*1.41 = 5.64

The length of segment BC is 5.64 m.
4 0
3 years ago
2.
diamong [38]

Answer:

what is the answer choices?

8 0
3 years ago
If 5 is subtracted from the square of a number ,the result is 4 , find the number.
Levart [38]

Answer:

9 I think

Step-by-step explanation:

I added 5 plus 4 to get 9 but I'm really not sure but I hope i helped!

7 0
3 years ago
A carpenter designs two cabinets: one in the shape of an oblique rectangular prism and one in the shape of a right
natulia [17]

Answer:

  • The cabinets have the same base area.
  • The cabinets may have the same base dimensions.
  • The cabinets may have different base dimensions.

Step-by-step explanation:

The volume of a prism is the product of its base area and height. It doesn't matter whether the prism is right or oblique, and the shape of the base is immaterial.

Both the given prisms have the same volume and height, so their base areas must be the same. The dimensions of the base may be the same, but do not have to be the same.

6 0
3 years ago
Read 2 more answers
Lin ride her bike 20 miles in 15 minutes. If she rode at constant speed what is the unit rate and how do you know ?
Varvara68 [4.7K]
v=\frac{d}{t} \ \ \where: v=spped \ \ \ d=distane \ \ \ \ t=time\\
\\
\boxed{v=\frac{20 \ mi}{\frac{1}{4} \ h}=20*4=80 \ mi/h}
6 0
3 years ago
Other questions:
  • For the geometric sequence <br><br> -1,-2,-4... find a8
    12·2 answers
  • Expand the following using the Binomial Theorem and Pascal's Triangle. Please show work.
    14·1 answer
  • A quality-control plan calls for accepting a large lot of crankshaft bearings if a sample of seven is drawn and none are defecti
    10·1 answer
  • Joey Chestnut is trying to break his own record for eating the most whole hot dogs in 101010 minutes. He needs to eat more than
    10·1 answer
  • I need help? Show ur work.
    13·2 answers
  • Y=3×+7 y=×-9 what is the solution of the equation
    7·2 answers
  • Find the value of x and round to the nearest tenth.
    7·1 answer
  • what happens to the value of the expression 1/x+5 as x decreases from a large positive positive number to a small positive numbe
    7·1 answer
  • Simplify the answer 4 times 3/4
    13·2 answers
  • ✓ 1 N 3 4 5 6 Conv A rectangular field is 300 meters long and 250 meters wide. What is the area of the field in square kilometer
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!