Determine the center and radius of the following circle equation: x^2+y^2-8x+6y-75=0 x 2 +y 2 −8x+6y−75=0 Center: \big(( , \big)) Radius:

Answers

Answer 1

Answer:

Compare x^2 +y^2-8x-6y=75 with the general circle equation x^2+y^2 -2ax-2by+c=0

-2a =-8 And -2b=-6

a=4 b=3

c=-75

To find the radius use the equation

r^2=a^2+b^2-c

r^2=4^2+ 3^2-(-75)

r^2=25+75=100

r=10(radius is always positive)

Hence the center is (4,3) and radius 10

Step-by-step explanation:


Related Questions

Which of the options below show a pair of supplementary angles? Select all that apply.
A) 160°, 20°
B) 120°, 40°
C) 45°, 135°
D) 30°, 120°

Answers

Answer:

A and C

Step-by-step explanation:

A) 160 + 20 = 180

B) 120 + 40 = 160

C) 45 + 135 = 180

D) 30 + 120 = 150

All supplementary angles must add up to 180 degrees.

How could you calculate 23 x 21 if the 2 button on your calculator is broken?

Answers

Answer:

Well you could get use g o o g l e s  calculator or write it out.

Step-by-step explanation:

Step-by-step explanation:

(30-7)*(30-9) I think this may be an answer

20/x=80/44 (Please help)

Answers

Answer:

if you're looking for the value of x, I'm guessing it's 11

Please help me!
Will mark brailest if you are right!!!

Answers

Answer:

f(x) = 3x

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 3)

m = [tex]\frac{3-0}{1-0}[/tex] = 3 , then

y = 3x ← is the equation of the graphed line

Martin has a total of 19 nickels (50.05) and dimes ($0.10) worth $1.65. How many of each type of coin does he have?




can put your work too​

Answers

Answer: 19nickels and 7dimes.

Ps i really don’t know where the 50.05 came from if it is suppose to be there then I really don’t know how to solve this.

Step-by-step explanation:

Ok so if you know that there are 19nickels, let n=number of nickels.

The number of total coins subtracted by number of nickels will give you number of dimes.

165-number of nickels=number of dimes

Value of dimes=10(number of dimes) or total value of dimes/individual value (10cent)

Then you can substitute total as $1.65 and get the value of nickels by multiplying by 5cent ( my teacher taught me using whole numbers to make it easier so I turned $1.65 to 165 cent). Since the value of the dimes is the value of nickels subtracted from the total, I can subtract 95 from 165 and divide the difference by 10, to get the number of dimes.

5(n)=5(19)=95

(165-95)/10=number of dimes

70/10=7dimes

You can check by multiplying 7x10 and 5x15 again and adding them together to see if they equal 165 cent.

What is the value of x?

Answers

Answer:

x = 6

Step-by-step explanation:

The Pythagorean Theorem states that a² + b² = c². In this case, c would be the hypothenuse or the longest side, which is 10. 8 can be either a or b.

a² + b² = c²

a² + 8² = 10²

a² + 64 = 100

a² = 36

a = √36

a = 6

So, x = 6.

Hope that helps.

Aaron can mow 2400 square feet in 3/4 of an hour. How fast can he
mow in square feet per hour

Answers

Answer:

he mow in square feet per hour : 2400 x (4/3) =3200 square feet/ per hour

Step-by-step explanation:

What are the solutions to the equation x2 - 2x - 15 =0?

Answers

Answer:

x=−3 or x=5

so yeah

Answer:

solve for x

Step-by-step explanation:

i hope this helps

Tara and Ashley spent the same amount at the grocery store. Tara bought 5 pounds of apples. Ashley bought 3 pounds of apples and $5 worth other groceries. How much does one pound of apples cost?

Answers

Answer:

one pound of apple cost $2.5

Step-by-step explanation:

Let the amount they both spent at the grocery store be y and x be the price of apples per pound.

Since Tara bought 5 pounds of apples, 5x = y (1) and Ashley bought 3 pounds of apples and $5 worth other groceries, 3x + 5 = y (2).

Equating both expressions, 5x = 3x + 5

collecting like terms,

5x - 3x = 5

2x = 5

dividing both sides by 2, we have

x = 5/2

x = 2.5

So one pound of apple cost $2.5

so far two-thirds of the seniors bought prom tickets. if they need minimum of 250 people to attend in order to keep the venue, how many students must be in the senior class to ensure they sold enough tickets

Answers

Answer: 375

Step-by-step explanation:

2/3 of x= 250

250 x 3=750

750//=375

They need a minimum of 375 students in order to keep the venue,

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, So far two-thirds of the seniors bought prom tickets. if they need a minimum of 250 people to attend in order to keep the venue.

Assuming they need a minimum of x people.

∴ (2/3)x = 250.

2x = 750.

x = 375.

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

I need help with this math question pleaseeeee!!

Answers

The answer I think it is (3,1)

Help me find the values of k and p please

Answers

Answer:

B

Step-by-step explanation:

The lines marked with ||| are equal. That means that 2P + 7 equals 17

2P + 7 = 17                    Subtract 7 from both sides.

2P + 7 - 7 = 17 - 7         Combine

2P = 10                         Divide by 2  

P = 5

3k - 5 and 28 are marked with one | That means that they are equal

3k - 5 = 28

3k = 28 + 5

3k = 33

k = 33/3

k = 11

The answer is B

how is 1/5 changed to a decimal​

Answers

Answer:

just divide 1/5 by 100 and you should get it

Step-by-step explanation:

......................​

Answers

Hey again!

The answer to your question is 14.54 inches

We can find this by doing 1454/100, and that is 14.54.

Hope it helps, have a great day! Let me know if there's more to help with.

30 POINTS PLEASE HELP ME OUT

Answers

A) 2-5/6-4
-3/2

B) 2-0/-4-1
2/-5

C) -3- -4/-6-8
1/-14

need help step by step -5 + g = -2

Answers

Answer:

g=3

Step-by-step explanation:

I'm going to explain this thoroughly because it seems like you don't have a full understanding of how to do this...practice makes perfect though!

-5+g=-2

The entire point of completing an algebra problem is to find what the variable equals, which means that we need to get the variable by itself. In this case, the variable is g.

The only other thing that is next to g is -5, so we need to add 5 because it is the opposite of subtracting (the sign also always changes when something crosses to the other side of the equation).

-5+g=-2

+5     +5

g=3

This is the solution! I would suggest that you practice these type of small algebra problems if you really don't understand c:

I hope this helped!! Have a nice day .3.

-5 + 3 = -2 add it on a calculator it will give u the right answer hole this helps :)

divide the sum of 3.19 and 2.39 by 3.6​

Answers

Answer:

1.55

Step-by-step explanation:

3.19 + 2.39 = 5.58

5.58 / 3.6 = 1.55

My answer is 1.55 because I added them up and got 5.58 and divided it by 3.6 and got that hope I helped ;)

4-3y+(-7y)+6.9=

Fast PLZ!

Answers

Simplifying
7y + -4 = 3y + 6

Reorder the terms:
-4 + 7y = 3y + 6

Reorder the terms:
-4 + 7y = 6 + 3y

Solving
-4 + 7y = 6 + 3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3y' to each side of the equation.
-4 + 7y + -3y = 6 + 3y + -3y

Combine like terms: 7y + -3y = 4y
-4 + 4y = 6 + 3y + -3y

Combine like terms: 3y + -3y = 0
-4 + 4y = 6 + 0
-4 + 4y = 6

Add '4' to each side of the equation.
-4 + 4 + 4y = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 4y = 6 + 4
4y = 6 + 4

Combine like terms: 6 + 4 = 10
4y = 10

Divide each side by '4'.
y = 2.5

Simplifying
y = 2.5

The temperature dropped 6°C every hour for 6 hours. What was the total number of degrees the
temperature changed in the 6 hours?
The total change in the temperature was
loc.

Answers

About 42 degrees fahrenheit

Determine the width of the pond. (Write your answer without the unit)
Can someone help plzzzzz

Answers

Answer:

17

Step-by-step explanation:

If you can, please leave an explanation so I can learn how to do it rathe than just copying

Answers

Answer:

Point-Slope: y+1=-5/7(x-5)

Slope Intercept: y=-5/7x+ 2 4/7

Standard: -5x+7y=18

Step-by-step explanation:

Slope: -5/7

Point slope is when the equation is in y-y1=m(x-x1) form.

I used the point (5,-1) but it really doesn't matter which one

Substitute it into (x1,y1)

y--1=-5/7(x-5)

y+1=-5/7(x-5) **2 minus signs is equal to 1 plus sign**

Slope-intercept is when the equation is in y=mx+b form.

y=-5/7x+b

To solve for b, plug in one of the points (again, I choose to use (5,-1)

(-1)=-5/7(5)+b

-1=-25/7+b is equal to asking -1=-3 4/7+b

b=2 4/7

Standard form is when it is in Ax+By=C

We'll covert from slope intercept to standard: y=-5/7+ 2 4/7

y=-5/7x+ 2 4/7 is the same as y=(-5/7x+ 18/7)

7y=5x+18 **Multiply both sides by 7, the common denominators**

-5x+7y=18 **Subtract 5x from both sides**

Sorry it took it while to get everything down but I hope this helps~

Identify the correct Triangle Congruence Theorem statement that describes the figure below.


Ο BAC & FED
O ABC & DEF
O ABC & DFE
О АСВ & DEF

Answers

the answer is ABC ≈ DEF

A shop owner offered a 20% discount off the regular price of a lamp. The amount of the discount is $25. What is
the regular price of the lamp?

Answers

it is $125 because x=125

Simplify the expression:
8(1 + 8z) =
Submit

Answers

Answer: My answer is in the bottom :)

Step-by-step explanation:8(1 + 8z) do the distributive property

8+64z=72z or 8=64z

                       64  64

                        1/8=z

find measure of angle 1

Answers

Just look at the top triangles
Angles in a triangle add up to 180°

To find the angle next to 36°:
It shows that all together its a 90° angle so you do 90-36= 54°

To find the angle next to 88°:
Angles on a straight line add up to 180° so you do 180-88= 92°

You now have the 2 of the angles in the triangle with angle 1

You now add these 2 angles so 54+92= 146°
and as angles in a triangle add up to 180° you do 180-146= 34°

So angle 1 is 34°

What is the value of x?

Answers

The answer should be 70 degrees because the two angles add up to 180. 180-45 is 135. 135=2x -5, add 5 to both sides you get 140=2x and finally 140/2 is 70

A bag contains orange, white, and purple marbles. If you randomly
choose a marble from the bag, there is a 23% chance of drawing an
orange marble and a 48% chance of drawing a white marble. What is the
probability of choosing a purple marble? Express your answer as a
percent

Answers

Answer:

29%

Step-by-step explanation:

48%+23%= 71%

100%-71%=29%

BOT
Kimberly baked 2 dozen cupcakes for her
classmates. Two-thirds of the cupcakes
were vanila and the rest were chocolate.
How many cupcakes were chocolate?
A 12
B 16
C 4
D 8
.....
Teaching with Tifany
5.31

Answers

Answer:

the correct answer is D) 8

Step-by-step explanation:

2 dozen= 24

2/3 of 24 is 16

24-+6=8

therefore, 8 of the cupcakes were chocolate

PLEASE ANSWER QUICKLY! I WILL GIVE BRAINLIEST.

What is 5/6 of 1/2?

A. 5/12
B. 6/12
C. 5/8
D. 6/8

Answers

Answer:

5/12

Step-by-step explanation:

of means multiplication. so multiply 5x2 / 6x2 which is 5/12

Answer:

A. 5/12

Step-by-step explanation:

the "of" in the answer is asking you to multiply.

what you want to do is multiply the numerators and denominators.

5 x 1 = 5

6 x 2= 12

giving you 5/12!

hope this helps <3

What is 7 1/2% of 60?

Answers

Answer:

the answer is 4.5. hope this helps

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