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3 years ago

Show that the equation represents a circle by rewriting it in standard form, and find the center and radius of the circle.

1 answer:

4 0

5x^2 + 5y^2 + 10x − y = 0 it is the same of 
x^2 + y^2 + 2x −1/5y = 0
and then 
(x + 1)^2 - 1+ (y−1/10)^2 -1/100=0
 (x + 1)^2 + (y −1/10)^2 =(101/100)

the center is C(-1, 1/10), and the radius is R= sqrt(101)/10

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In Exercises 1–6, write the first five terms of the sequence whose th term is given.

Vadim26 [7]

Answer:

Step-by-step explanation:

1. Un = 3^ n

U1 = 3, U2 = 9, U3 = 27, U4 = 81, U5 = 243

2. Un = (-2/5)^n

U1 = -2/5, U2 = 4/25, U3 = 8/125, U4 = 16/625, U5 = 32/3125

3. Un = sin npi/2

U1 = 1, U2 = 0, U3 = -1, U4 = 0, U5 = -1

4. Un = 3n/n+4

U1 = 3/5, U2 = 1, U3 = 9/7, U4 = 3/2, U5 = 5/3

5. Un = (-1)^n+1(2/n)

U1 = 1, U2 = 2, U3 = -1/3, U4 = 3/2, U5 = -3/5

6. Un = 2 + 2/n - 1/n^2

U1 = 3, U2 = 11/4, U3 = 23/9, U4 = 39/16, U5 = 59/25

7 0

3 years ago

What is the slope of a line perpendicular to ta line whose equation is y = -3/4x - 6

svp [43]

Answer:

4/3

Step-by-step explanation:

y = -3/4x - 6

m = -3/4

Slope of the line perpendicular to this line = -1/m

= -1 ÷ (-3/4)

$= (-1)*\frac{4}{-3}\\\\=\frac{4}{3}$

6 0

3 years ago

To reduce their expected estate tax liability prior to either spouse's death, the Hansens could?

tatuchka [14]

If the Hansens want to reduce their expected estate tax liability prior to the death of either of the spouses, they could initiate a Marital Transfer.

<h3>What is a marital transfer?</h3>

A Marital transfer simply means that the Hansens should bequest their assets to each each other in case either of them die.

If this happens, the surviving spouse will not be charged any estate taxes because bequests to spouses are not subject to taxation.

To do this, the Hansens should put it into both of their wills that they plan to gift/ bequest their assets to their spouse if they die.

The big disadvantage of using a marital transfer however, is that the estate will still be subject to taxes when the surviving spouse dies. All the estate taxes that had been avoided would then be incurred by the estate but only after the death of both spouses.

In conclusion, they should use a marital transfer.

Find out more on estate taxes at brainly.com/question/6362495

#SPJ1

4 0

1 year ago

Which expression gives the solutions -5x+2x^2=-6x?(1pt)

irina [24]

This is the concept of algebra, the solution of the given expression will be given as follows;
-5x+2x²=-6x
adding 5x on both sides we get
5x-5x+2x²=-6x+5x
2x²=-x
divide both sides by 2
(2x²)/2=-x/2
x²=-x/2
divide both sides by x
(x²)/x=-x/(2x)
x=-1/2
the answer is x=-1/2

8 0

3 years ago

What is the ratio of 5.478 and 7.522 in mathematics

exis [7]

Answer:

Written in standard ratio form-

5.478 : 7.522

other ways of expressing it-

5.478/7.522 or

5.478 to 7.522

Simplified-

0.72826..... as an irrational number

3 0

3 years ago