Mathematics College

Write the equation in standard form, then identify center and radius of circle.

Write The Equation In Standard Form, Then Identify Center And Radius Of Circle.

Answers

Answer 1

Answer:

Step-by-step explanation:

Given

x^2 + y^2 - 16y - 36 = 0

x^2 + y^2 - 16y = 36

x^2 + y^2 - 16y + (16/2)^2 = 36 + 8^2

x^2 + (y - 8)^2 = 64 + 36

x^2 + (y - 8)^2 = 100

The center is at (0,8) and the radius is 10

Try and follow it from the graph below.

Write The Equation In Standard Form, Then Identify Center And Radius Of Circle.

Related Questions

find two numbers that multiply to be 12 and add to be -13

Answers

Answer:

-12 and -1

Step-by-step explanation:

(-12)+ (-1)= -13

and -12x-1=12. as - x -=+ (minus x minus=plus)

Answer:-1 and -12

Step-by-step explanation:

-12*-1= 12

-12+(-1)=-13

Cars A and B leave the same place and travel in the same direction along a straight road. Car A travels at 60 km/h and car B travels at 72 km/h. After how long will they be at 8km apart​

Answers

The difference in speed of the two cars is 72-60 = 12 km per hour.

The time they would be 8 km apart would be 8/12 = 2/3 of an hour

1 hour = 60 minutes

60 minutes x 2/3 = 40 minutes.

The cars will be 8 km apart in 40 minutes.

Answer:

After 40 min they will be 8km apart

Step-by-step explanation:

Car A is traveling 1km per minute Car B is traveling 1.2km per minute, so Car B will gain 1km on Car A every 5 min. To be 8km apart, you calculate 5min x 8 = 40 min

Hey guys, I really need help with this question!Please no links, or I will report! Dont answer if you dont know please! ​

Answers

The second option :)

Graph the line with slope -1/2 passing through the point (-1,-2)

Answers

Answer:

See attachment for graph

Step-by-step explanation:

Given

[tex]m = -\frac{1}{2}[/tex]

[tex](x_1,y_1) = (-1,2)[/tex]

Required

Graph the line

First, is to determine the equation of the line using:

[tex]m = \frac{y - y_1}{x - x_1}[/tex]

So:

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

[tex]-\frac{1}{2} = \frac{y - 2}{x +1}[/tex]

[tex]\frac{-1}{2} = \frac{y - 2}{x +1}[/tex]

Cross multiply:

[tex](y -2) * 2 = -1 * (x + 1)[/tex]

[tex](y -2) * 2 = -x -1[/tex]

Solve for y - 2

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

Solve for y

[tex]y = -\frac{x}{2} -\frac{1}{2} + 2[/tex]

[tex]y = -\frac{x}{2} +\frac{-1+4}{2}[/tex]

[tex]y = -\frac{x}{2} +\frac{3}{2}[/tex]

The above equation will then be plotted on the graph (See attachment)

I Really need help with this question!
Logan ordered a box of gingerbread cookies and sugar cookies the box included a total of 70 cookies and 60% of them were gingerbread how many gingerbread cookies did Logan get

Answers

Answer:

42

Step-by-step explanation:

60% of 70 is 42

its worth 25 please help and show work

Answers

9514 1404 393

Answer:

  3) y = √10

  4) x = 5√2

Step-by-step explanation:

The side ratios of an isosceles right triangle (one of the "special" right triangles) are ...

  1 : 1 : √2

So, for some multiplier k, they can be made to match the sides in your triangles.

__

3) 1·k : 1·k : k√2 = √5 : √5 : y

Clearly, k = √5, so ...

  y = (√5)(√2)

  y = √10

__

4) k : k : k√2 = x : x : 10

  k = 10/√2 = (5√2)/2

  k = x = (5√2)/2

Halla el MCM de 42 y 70. ​

Answers

Answer:

mcm= 210

Step-by-step explanation:

We decompose into its prime factors

42- 70 | 2

21 - 35 | 3

7 - 35 | 5

7 - 7 | 7

1 - 1

mcm= 210

Greetings!

what is the answer to: 12 ≥ 2 (1 + x)

Answers

Answer:

6 1/5

Step-by-step explanation:

Answer:

[tex]x\le \:5[/tex]

12≥ 2​(1+x)

Switch sides

2(1+x)≤ 12

Divide both sides by 2

2(1+x)2 ≤122

Simplify

1+x≤ 6

Subtract 1 from both sides

1+x−1≤ 6−1

Simplify

[tex]x\le \:5[/tex]

A cable TV/Internet/phone provider charges new customers $90 for all three services, per month, for the first year
under their 90 NOW promotion. Alice normally pays $59 for her monthly home phone service, $49 for Internet
service, and $69 for cable television
1. What are her percent savings if she switches to the 90 NOW plan? Round to the nearest percent.

Answers

Answer:

49%

Step-by-step explanation:

First find how much Alice is paying for the all three service currently.

Amount paid by Alice at present= 59 +  49 + 69 = $ 177

If she switches to 90 NOW plan, then the amount saved = 177 - 90 = $ 87

Percentage of savings = (saved amount ÷ total amount she was paying at present) * 100

          [tex]= \frac{87}{177}* 100\\\\= 49.15[/tex]

          = 49 %

Answer:

Step-by-step explanation:

What is the Mean Absolute Deviation of the following data set?
{23, 25, 28, 29, 30}

Answers

Answer:

The mean absolute deviation is 2.4

Step-by-step explanation:

Part A: Write an algebraic expression for 8 more than 5 times a number. (5 points)

Part B: Write a verbal expression for 4(n + 6). (5 points)

Answers

Part A: 5x + 8

Part B: The sum of 6 and a number, increased 4 times.

The algebraic expression for [tex]8[/tex] more than [tex]5[/tex] times a number will be [tex](8+5x)[/tex] and the verbal expression for [tex]4(n + 6)[/tex] will be four times the sum of a number and six.

What is expression ?

Expressions is a finite combination of symbols that is well-formed according to rules that depend on the context.

Part A ;

We have,

[tex]8[/tex] more than [tex]5[/tex] times a number

Now,

Let a number [tex]=x[/tex]

So,

According to the question,

We get, [tex](8+5x)[/tex]

So, this is the algebraic expression .

Part B ;

We have,

[tex]4(n + 6)[/tex]

So,

According to the question,

[tex]4(n + 6)[/tex] will be written as four times the sum of a number and six.

So, this is the verbal expression .

Hence, we can say that the algebraic expression for [tex]8[/tex] more than [tex]5[/tex] times a number will be [tex](8+5x)[/tex] and the verbal expression for [tex]4(n + 6)[/tex] will be four times the sum of a number and six.

To know more about expression click here

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Which equations are true for the values of x, y, and z? Select three options.
650
z
x
y
Ox+65º = 180°
OY= 65°
3x = 65°

Answers

Answer:

A) x + 65 = 180

B) x = z

C) y = 65

Step-by-step explanation:

Item 1
The table gives estimated annual salaries associated with two levels of education.

Level of education High school diploma Trade school certification
Estimated annual salary $27,500 $48,000
Based on the table, how much more money would a person with a trade school certification earn than a person with a high school diploma over a 30 year career?


$20,500

$75,500

$82,500

$615,000

Answers

Answer:A) 20,500

Step-by-step explanation: because 27,000+48,00=75,00  so you divdie that by 30 and you will get your answer of 20,500

A number squared, then increased by 4, I need the equation.

Answers

See order to find out ave dvide is to research and hive

HELP I NEED ANSWERS NOW

Answers

Answer:

I am not sure but I think it is c

Step-by-step explanation:

Amanda runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?

Answers

Answer:

5.6 miles

Step-by-step explanation:

[tex]\frac{7}{80} =\frac{x}{64}[/tex]   Set up the proportion

[tex]7(64)=x(80)[/tex]  Cross multiply

[tex]448=80x[/tex]     Simplify

[tex]\frac{448}{80}=\frac{80x}{80}[/tex]    Divide both sides by 80

[tex]5.6=x[/tex]

Function is defined by f(x) = x2 - 4x + 8. The graph of function g is shown.
Let h represent the x-coordinate of the vertex of the graph of y = f(x). Let
represent the x-coordinate of the vertex of the graph of y = g(x). What is the
value of h-j?

Answers

The value of h -j is -5.

We have the function, f(x) = x² -4x + 8

Now, vertex

h = x = -b/2a

h = x = -(-4) / (-2)

h = x = -4/2

h= x = -2

Now, according to the graph

j = x= 3

So, h - j

= -2 - 3

= -5

Learn more about Function here:

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Someone please please help me with this!!!

Answers

Answer:

[tex]4x {}^{2} - 36 \\ = (2x + 6)(2x - 6) \\ hence \: option \: b \: is \: correct[/tex]

7t + 2 = t + 32

a. 12
b. -5
c. 5
d. -12​

Answers

Answer:

    c.5 is correct

Step-by-step explanation:

7t+2=t+32

shift similar terms  on one side

7t-t=32-2

6t=30

t=30/6

t=5

answer these plssssssssssssssssssssss

Answers

Answer:

15: Yes, no, yes, yes, no; 16A: C = ($0.29)X + ($1.45)Y + ($2.50)Z; 16B: Yes

Step-by-step explanation:

For question 15: We need to multiply the widths and lengths given to see if they equal the area we are trying to achieve. Therefore, some of them work, and some do not.

For question 16:

Part A: We'll set a variable for the number of each supply she can buy. Pencils will be represented by X, pens by Y and Notebooks by Z, and we'll represent total cost by C. The total cost will therefore be represented by C = ($0.29)X + ($1.45)Y + ($2.50)Z.

Part B: We'll plug the numbers of items she wants to buy into our formula and see if it comes out to less than $20. So in this case C = ($0.29)(3) + ($1.45)(4) + ($2.50)(2). Therefore, C = $11.67, which is less than $20, so she can afford her school supplies.

Is Urgent ......The satisfaction that consumers get from their purchases is known as what?
A. Materialism
B. Marginalism
C. Subjectivity
D. Utility

Answers


“Subjectivity” is the answer i believe .

Answer: D

Step-by-step explanation:

Fits the definition

What name is given to an angle that
measures 150°?

Answers

The name given obtuse angle

Answer:

Obtuse

Step-by-step explanation:

Since 150°>90°, it is an obtuse angle

help please i really need this done

Answers

Answer:

x = 33°

Step-by-step explanation:

x = 180° - 80° - 67° = 33°

above ^^^ is the right answer. the guy above me :)

What is the mean absolute deviation if the mean is 15 and the majority of the data falls between 5 and 25

Answers

Don’t listen to these people thet tell you to open this file it’s a scam

13. The product of 0.21 and 1.8 is 0.378
A) True
B) False

Answers

Answer:

true

Step-by-step explanation:

because 0.21 ×1.8 is 0.378

Carmen's father is 28 years older than her and 3 years ago he was 5 times her age. What are their ages?

Answers

28-3=25

so 25/5=5

she is 5 year old

Let the age of father and daughter be x and y.
By the question,
x = y+28 equation i
Three years ago;
x-3 = 5 ( y- 3 ) equation ii
y + 28 - 3 = 5y - 15 ( substitute x in eq’n 2 )
y + 25 = 5y - 15
40 = 4y
y= 10
Thus daughter is 10 years old.
Father is 10 + 28 = 38 years.

As inflation increases, it causes the money you earn today to have _____. less value in the future more purchasing power in the future no purchasing power effect in the future more value in the future

Answers

Answer:

This answer is A

Step-by-step explanation:

your welcome, im fast to answer

Answer:

the answer is a

Step-by-step explanation:

When an object moves on a circular path, the centripetal force varies directly as the square of the velocity and inversely as the radius of the curve. If the force is 640 lb for a velocity of 20 mi/h and radius of 5 m, find the radius for a velocity of 30 mi/h and a force of 1800 lb.

Answers

Answer: I think it's 40

Step-by-step explanation:

I don't know, I just need points. If you take the 640 and divide it by the nearest angular velocity, then square it, then divide by the radius, you get Bolivia

[tex]-5(3.15-\frac{21}{20} )+7[/tex]

Answers

The answer is -7/2 or -3.5

8. What is the value of x? Pls show work thank you

Answers

Answer:

hi

Step-by-step explanation:

[tex]7x - 15 + x= 180 \\ 8x = 180 + 15 \\ 8x = 195\\ x = 24.375 \\ x + 28 + 4x - 3 + 24 = 180 \\ 5x = 180 - 28 + 3 - 24 \\ 5x = 131 \\ x = 26.2[/tex]

i think so

hope it helps

have a nice day

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