Mathematics College

The locus of points in a plane 1 unit from the point (0,0)

Answers

Answer 1

Answer:

x² + y² = 1

Step-by-step explanation:

A circle is the locus of a point such that its distance from a fixed point (known as the origin) is always constant. The general equation of a circle is given as:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center of the circle and r is the radius of the circle.

Given that the plane is 1 unit from the point (0,0). Therefore the radius of the circle is 1 unit and the center of the circle is (0, 0). Therefore the equation of the circle is:

[tex](x-0)^2+(y-0)^2=1^2\\\\x^2+y^2=1[/tex]

Related Questions

Please help *THIS IS ON PERSONAL FINANCIAL LITERACY "​

Answers

Answer:

I think the answer is $56,600

Step-by-step explanation:

I'm pretty sure you're just going to add $63,000+$8,400+$2,900+$1,1000. Then when you get a total of $75,400 and then I think you are going to subtract $15,400 from $75,400, you should get $60,000 then subtract $3,400 and you get $56,600.

HELPPP
If YV = 28 in, find the length of VYX.

Answers

Answer:

B) 68.91 inches

Step-by-step explanation:

To start, lets define what we are trying to find. VYX is the major arc VX, spanning from V to X crossing over Y.

We are also given that the diameter is 28 inches.

Since arc length and area are proportional to the central angle, we can create the following equality:

angle of VYX/360 = arc length of VYX/circumference

We know that the central angle of VYX = central angle of minor UV + UYX = 117 + (180-15) = 282 degrees.

282/360 * 28*pi = arc length of VYX

Thus, the length of VYX = 68.90559887 inches

Thus, the correct answer is B, 68.91 in.

Find the volume of the prism. L=25, W=16, H=24

Answers

the total volume/answer is 9600 m^3

Austin takes 4 hours to make 2 backpacks and a handbag. The time he takes to
make a backpack is twice the time he takes for a handbag. Find the time he takes to
make a handbag.

Answers

Step-by-step explanation

b = 2h      is given

2 b   + h  = 4 hours     is  given      sub in the top equation

2 (2h) + h = 4

5h = 4

h = 4/5 hr    or  48 minutes

help plssssssssssssssssssssssssssss

Answers

Answer:

132cm^3

Step-by-step explanation:

The volume of a cone is 1/3*pi*r^2*h

pi=22/7

r=3

h=14

1/3 * 22/7 * 3^2 * 14 = 132

each pack of sugar free gum at a store cost $0.89 including tax if Evan pays $10.00 and receives $0.21 in change how many packs of gum did he buy​

Answers

Answer:

12

Step-by-step explanation:

Name the coeficient in
the expression below.
-10x + 8

Answers

the answer i think is -10

The Unit Circle

Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth.
-147°

a. (-0.54, -0.84)
b. (-0.84, 0)
c. (-0.84, -0.54)
d. (1, -0.54)

Please select the best answer from the choices provided

Answers

Answer:

C. (-084, -0.54)

Step-by-step explanation:

I calculated it logically

There are six households in a rural community. Each household earns $40,000 per year. Suppose that a new resident builds a mansion in the community and that the income in the new household is $4 million per year. After the new resident arrives, the median household income has _____, and the mean household income has _____. increased; increased not changed; increased not changed; not changed increased; not changed

Answers

Answer:

Median income has not changed

Mean income has increased

Step-by-step explanation:

Initial number of houses = 6

Earning per household = $40,000

The initial mean :

$(40,000 * 6) / 6 = $40000

Initial median :

40000, 40000, 40000, 40000, 40000, 40000

= 1/2(n+1)th term,

Median = 40000

A 7th household earns 4,000,000

Mean = ((40000*6) + 4,000,000) / 7 = $605,714

Median = 1/2(n+1)th term

40000, 40000, 40000, 40000, 40000, 40000, 4000000

Median = 4th term = 40000

3/4 * 8 WITH EXPLANATION PLEASE
I WILL MARK YOU BRAINLIEST

Answers

Answer:

6

Step-by-step explanation:

3/4 * 8 is really easy but.....

you multiply the 3/4 * 8/1 (numerators and denominators) 3*8/4*1 = 24/4 = 6.

Answer:

6

Step-by-step explanation:

First you have to set it up 3/4 * 8/1

then you multiply the numerator and denominator to get 24/4 divide 24 by 4 to get 6, your final answer.

Find the volume
Show work

Answers

Sir there seems to be a picture in your pixels.

i would assume the measurements (from left to right) is 34m 14m 20m and 14m

find the area of the triangle so split the 24 in half 12 and 12

then multiply 12*14 which is 168

i would assume the area is 168m^2

then multiply by 20m

3360m ^3

Three vertices of a rectagle are shown in the grid. What are the coordinates of ththe missing

Answers

Answer:

where is the grid?????................

i need help w my geometry math homework because my math teacher doesnt even teach us anything

Answers

Answer:

Area of front and back 2 * 6 * 14 = 168

Area of sides 2 x 5 x 14 = 140

Area of top and bottom 2 x 5 x 6 = 60

Total Area = 168 + 140 + + 60 =

368 square inches

Step-by-step explanation:

plzzzzzzzz help for a brainly

Answers

Answer:

(3×3-5)³-19

(9-5)³-19

4³-19

64-19

=45

Solve the equation. 3x + 6 = 24
Ο Α. 2
OB. 4
Ос. 6
O D. 8


Please help ASAP connexus

Answers

Answer:

option no.C 6

Step-by-step explanation:

3x+6=24

3x=24–6

3x=18

x=18/3

x=6

The coordinate grid shows the graph of four equations:





Which set of equations has (5,0) as its solution?

A and B

C and D

B and D

A and D


*sorry for all the cracks my iPad screen broke.​

Answers

A and B is the answer good luck :)

irene bought 9/16 pound of wheat flour and 4/16 pound of rye flour to use in a bread recipe. How much flour did irene buy in all?​

Answers

Irene bought 13/16 flour because you add 9/16 to 4/16 the denominator always stays the same when adding. 9+4=13 so the answer is 13/16

If 4 is subtracted from a certain number and the difference is divided by 4, the result is 1 more than 1/6 of the original number. Find the original number

Answers

Answer:

Step-by-step explanation:

x-4/4=x/6+1

x-4 =4/6x+4

x-2/3x =8

1/3x =8

x=24

How could you correctly rewrite the equation 4(10 + 5) = 6(12 - 2) using the distributive property?

Answers

Answer:

40 + 20 = 72 - 12

Step-by-step explanation:

4(10 + 5) = 6(12 - 2)

Mutilpy 4 times 10 and 5

Mutiply 6 times 12 and -2

Ms. Hernandez has $100 to spend on parking and admission to the zoo. The parking will cost $10 and the
admission tickets will cost $15 per person, including tax. Write and solve an equation that can be used to
determine the number of people that she can bring to the zoo, including herself.
Show your work

Answers

Answer:

6

Step-by-step explanation:

First subtract 10 from 100 and get 90. Then divide 90 by 15 and you'll get 6. Therefore, Ms. Hernandez can bring 6 people including herself.

15) Find the product. Show all your work.
Reduce all your answers into simplest
form
3 - x
5
л |N

Answers

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

3 [tex]\frac{3}{4}[/tex] x [tex]\frac{2}{5}[/tex]

[tex]\frac{15}{4}[/tex] x [tex]\frac{2}{5}[/tex]

[tex]\frac{30}{20}[/tex] = [tex]\frac{3}{2}[/tex]

or another way

[tex]\frac{15}{4}[/tex] x [tex]\frac{2}{5}[/tex]

[tex]\frac{3}{2}[/tex] x [tex]\frac{1}{1}[/tex] = [tex]\frac{3}{2}[/tex]

Help me plzzzzzzzzzzzzzzzZzzzzzzZ

Answers

Answer:

8.56 x 2.1 = 17.967 or you can sum up to 18. Hope this helps!

HELP!!!GIRLY NEEDS A MATHMATICIAN TO HELP ME pls

Answers

Step-by-step explanation:

its the same ratio 4/7

cos(theta) = adjacent /hypotenuse

Find the measure of angle 3

Answers

Answer:

120

Step-by-step explanation:

How many places do you need to move the decimal to the left to write the number below in scientific notation ? 1200000000000

Answers

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
1.2
×
10
8

1. Consider this dilation in this question for A and B

(a) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
(b) What is the scale factor? Explain.
Answer:

Answers

Answer:

a) enlargement

b) scale factor is 2

Step-by-step explanation:

As we can see, we went from the block to the red figure

a) Since the red figure is bigger, then what we have is an enlargement of the original figure

b) As we can see, the coordinates of the red is two times the value of the coordinates of the black

So, we can conclude that what we have as a scale factor is 2

NO LINKS

Which equation is the equation of the least squares regression line that most closely matches the data set?

Answers

Answer:

y = 3.5X - 6921.2

Step-by-step explanation:

Given the data :

X :

1990

1992

1994

1996

1996

Y :

45

51

57

61

75

Using an online regression calculator ; the regression model obtained is : y = 3.5X - 6921.2

Where ; slope = 3.5 ; intercept = - 6921.2

which of the two cat sleep for longer?​

Answers

Yes sir I’m just wondering what you wanna put in your name for me again when y’all get back down to my moms side and then I’ll send it back to him.

please help, will award brainliest

Answers

Answer:

First one

Step-by-step explanation:

What are the dimensions, a, b, and c, of the net? a = cm b = cm c = cm

Answers

the dimensions are 5, 13 and 15.
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