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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

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The measure of each angles
Aleks [24]
Supplementary angles is when 2 angles add up to 180 degrees.

We will name the smaller angle a and the bigger angle b.

therefore:

b - 172.6 = a

a + b = 180

Now we substitute:

a + b = 180
b - 172.6 + b = 180
2b - 172.6 = 180
2b = 352.6
b = 176.3

To find a:

a + b = 180
a + 176.3 = 180
a = 3.7

Therefore,

angle a = 3.7 degrees
angle b = 176.3 degrees.

Hope it helps and have a great day ahead
4 0
3 years ago
15. Use the unit circle to find the value of sin 3x/2 and cos 3x/2
My name is Ann [436]

Answer:

3xpi/2 is 270 degree counter-clockwise from Ox

That time P(x,y) is (0,-1)

=> x= 0 and y = -1  as you can see in picture.

=> Cos 3pi/2 = x = 0

=> Sin 3pi/2 = y = -1

Step-by-step explanation:

Not so slow.

5 0
3 years ago
Mr.Dow lives 16 miles from his workplace he drives to and from work five days a week if his car gets 19.2 miles per gallon how m
ANEK [815]

Answer:he would require 8.33 gallons of gas

Step-by-step explanation:

Mr Dow lives 16 miles from his workplace he drives to and from work five days a week. It means that the distance that he drives everyday to and from work would be

16 × 2 = 32 miles.

Then, the total distance that he drives in a week to and from work would be

32 × 5 = 160 miles

if his car gets 19.2 miles per gallon, it means that the amount of gas that he would use in one week, commuting to and from work would be

160/19.2 = 8.33 gallons

4 0
3 years ago
True False x-sqrt6 is a factor of x^4-36
Rasek [7]
True because it wouldn’t have made since if it was false
5 0
2 years ago
What is the cofunction of cos 2pi/ 9
fiasKO [112]

The cofunction of cos is sin(90-x)

90 degrees is equal to PI/2

The cofunction becomes sin(PI/2 - 2PI/9)

Rewrite both fractions to have a common denominator:

PI/2 = 9PI/18

2PI/9 = 4PI/18

Now you have sin(9PI/18 - 4PI/18)

Simplify:

Sin(5PI/18)

3 0
3 years ago
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