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
stich3 [128]
2 years ago
15

The equation 2x² + 2y2 – 8x - 12y + 16 = 0 defines a circle.

Mathematics
1 answer:
mixas84 [53]2 years ago
3 0

Answer:

  C, E

Step-by-step explanation:

Here, we want to change the equation of a circle from general form to standard form. This is done by making the leading coefficients 1, completing the squares, and then rewriting the equation in standard form.

The leading coefficients of the given equation are 2, so we first want to divide by 2. This gives ...

  x² +y² -4x -6y +8 = 0

Subtracting 8 puts us in better position to complete the squares.

  x² +y² -4x -6y = -8

Now, we can add the squares of half the coefficients of the linear terms.

  (x² -4x +4) +(y² -6x +9) = -8 +13 . . . . . . matches C

And we can simplify this to the standard form equation:

  (x -2)² +(y -3)² = 5 . . . . . matches E

You might be interested in
Looking at angle DEF which statement is true
Dennis_Churaev [7]

Answer:

B.  <D = <F  

hope this helps


3 0
3 years ago
Sometimes the unit price on two sizes of the same product will be the same. When this is the case, how will different kinds of d
mamaluj [8]

The different type of discount effected on the prices of two similar products having the same unit price may either increase or decrease the total unit price on the discounted sale price of the items.

Taking an hypothetical scenario :

50 ml of Product A = $100

60 ml of product A = $100

<u>Discount on sale of 60ml size on purchase of two or more units </u> : 10% off

Discounted price of 60 ml size :

Initial product cost on purchase of 3 units = ($100 × 3) = $300

Discounted price = (100 - 10)% × $300 = $270

<u>Discount on sale for 50ml size on purchase of two or more units</u> : $20 off

Discounted price of 50ml size :

This means $20 is deducted from any purchase of two or more units ;

Hence, purchasing 2 units of the 50 ml product will cost ; (

($100 × 2) - $20

$200 - $20 = $180

Therefore, the discount effected on the cost of product which has the same unit price may either decrease or increase the total cost of one product relative to the other.

Learn more :brainly.com/question/20418815

7 0
2 years ago
What is the value of the expression (2)^6?
Mumz [18]
The value of the expression (2)^6 is 64.
6 0
3 years ago
Read 2 more answers
Estimate each percent. <br> 26% of 125
kari74 [83]
26\% \ of \ 125= \frac{26}{100}*125= \\\\= \frac{26}{4}*5= \\\\ =\frac{13}{2}*5= \\\\ =\boxed{\frac{65}{2}\to32.5}
3 0
2 years ago
Read 2 more answers
For what value of x will the line passing through the following pairs of points be
Romashka [77]
The answer is g(x)= 5x- 19
5 0
2 years ago
Other questions:
  • a 17 foot piece of string is cut into two pieces so that the longer piece is 2 feet longer than twice the length of the shorter
    13·1 answer
  • What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)? y = – x – 1 y =
    6·1 answer
  • What is the quotient? 1414 ÷ 32 enter your answer as a mixed number in simplest form.
    11·1 answer
  • If x + y = 4 and x2 − y2 = 64, what is the value of (x − y)?
    15·1 answer
  • I WILL MARK BRAINLIST
    13·2 answers
  • Course Activity: Sides and Angles of Congruent Triangles Part C Measure the lengths of the sides of ∆ABC and its three images an
    7·1 answer
  • Find tan(B) in the triangle.
    5·1 answer
  • The sum of four consecutive integers is equal to three times the smallest number. What is the sum of the four integers?
    5·2 answers
  • Which statements are true about points A, B, and C? Check all that apply. The coordinates of point A are (3, –3). The coordinate
    7·2 answers
  • Which polynomials are in standard form?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!