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Compare the given equation with the general equation of a circle

Given equation: x² + y² - 8x +6y +9 = 0

Equation of a circle: x² + y² + 2gx + 2fy + c = 0

2g= -8; g = -8÷2= -4

2f = 6; f = 6÷2 = 3

c= 9

Solving for radius of the circle...

r =√g² + f² - c

g= -4, g² = ±16

f = 3, f² = 9

Substituting, we have

r = √16 + 9 - 9

r = √25-9

r=√16

r = 4

Therefore, the centre and radius of the circle is 9 and 4 respectively.

Hope this helped!

Please mark brainliest;-)

Answer:

B

Step-by-step explanation:

Answer:

B. Is the correct way to show the problem.

Step-by-step explanation:

A: The number line is useless. It shows working backwards from the answer. You want to show how the answer was obtained. + goes right - goes left. Not A. This actually shows 1.1 - 0.8 - 0.3

C: C shows 0.8 - 0.3. Remember + goes right - goes left.

D: D is wrong. It shows 0.3 to 1.1 and then 0.3 back to 0.8. You are not doing that.

Step-by-step explanation:

[tex] - 4x - 2 = 6[/tex]

[tex] - 4x = 8[/tex]

[tex]x = - 2[/tex]

Answer:

f(-7) = -4

Step-by-step explanation:

We want to find the value of the function when x = -7

The y value of the function when x= -7 is -4

f(-7) = -4

Answer:

f(-7)=-4

Step-by-step explanation:

If you look at the x, in this case -7, and follow it down to where it stops on the parabola, you will see that it's y value is -4.

Answer:

47.97

Step-by-step explanation:

l Base length  

4

w Base width  

4

h Pyramid height  

3.46

Answer:

thanks man i really needed points

Step-by-step explanation:

Answer:

i really need it

Step-by-step explanation:

thanks for the points

Answer:

(b) or (d)

Step-by-step explanation:

stidents who play basketball = 4y^2 + y - 8 - (2y + 16) = 4y^2 - y - 24

This is a question on forming and solving equations and expressions. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:  Choice (b) 4y^2 - y - 24;  top right corner

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Work Shown:

T = total number of students in the class

T = 4y^2 + y - 8

F = number of students who play football

F = 2y+16

B = number of students who play basketball

B = unknown for now

Since a student either plays football or basketball, but not both, this means

T = F+B

which rearranges to

B = T-F

Plug in the given expressions and simplify

B = T-F

B = (4y^2+y-8) - (2y+16)

B = 4y^2+y-8 - 2y - 16

B = 4y^2 + (y-2y) + (-8-16)

B = 4y^2 - y - 24

Answer:

y=x+3

Step-by-step explanation:

The equation "y=x+3" cannot be written in the form y=kx because the form doesn't use addition as a basic operation. Let's try verifying the choices:

y=x is possible if the value of k is 1, provided that both y and x are of the same value.

y/2=x is possible because y=2x, provided that 2 is the value of k.

y=-1/10x is possible because -1/10 is the value of k. This is just the same with y=kx.

Answer:

b(20) = 60

Step-by-step explanation:

Here, given that ;

b(x) = -2(x-50)

we want to find the value of b(20)

what we need to do is to simply substitute x for 20

That will be:

b(20) = -2(20-50)

b(20) = -2(-30)

b(20) = 60

Answer:

d

Step-by-step explanation:

hope this is right

Answer: 0.75 cups of flour to 1 cup of sugar.

Step-by-step explanation:

From the question, we are informed that a recipe calls for 3 cups of flour to 4 cups of sugar and told to calculate the unit rate.

It simply means what we need to calculate much of flour to one cup of sugar. This will be:

= 3/4 = 0.75

Therefore, the unit rate will be:

0.75 cups of flour to 1 cup of sugar.

Answer:

frame b because it takes up more room than the other some it forces the other to be smaller

Step-by-step explanation:

Answer:

Step-by-step explanation

It is Frame B trust me it is bigger.

Answer:

let the number be x

thrice of the number=3x

one-half of the number=(1/2)x

so from the expression we:

3x-x/2=2500

(6x-x)/2=2500

6x-x=2*2500

5x=5000

x=5000/5

x=1000

Answer:

E

Step-by-step explanation:

if we decidedly factor this expression-

4x^2+4xy+y^2

= (2x)^2 + 2*2xy + y^2

= (2x + y)^2

as you can see it is a perfect square so it can be grouped into (2x+y)^2

hence your solution is option e

Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}AE [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}21[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {21}{2}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD=10.5cm [/tex]

The line BD will be 10.5cm in the triangle ABC. Thus option D is correct.

A closed shape with both inner and exterior angles, a triangular is created by three lines.  the fundamental geometric shapes. a vertex-filled triangle. There is only one distinct triangle if the product of two fades on the sides is bigger than the longest side. 

The value of AE is given as 21.

From the diagram that is given, it is indicated that according to the midpoint theorem

BD║AE

Also, BD= 1/2 ×AE

BD = 21/2

BD = 10.5 cm.

Therefore, option D is the correct option.

Learn more about triangles, Here:

https://brainly.com/question/2773823

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The question is incomplete, the complete question will be :

A. 42

B. 21

C. 11.5

D. 10.5​

Answer:

On days with similar conditions as this day, it has rained 60% of the time in Boston, Massachusetts

Step-by-step explanation:

I got it right on the quiz

The correct answer is "On days with similar conditions as this day, it has rained 60% of the time in Massachusetts."

Probability is the possibility of happening an event.

Given that, there is a 60% probability of rain on a specific day.

Therefore, it rained 60% of the time on that day.

Hence, the correct answer is "On days with similar conditions as this day, it has rained 60% of the time in Massachusetts."

Learn more on probabilities here:

https://brainly.com/question/19557377

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1 is the answer  OR h

Answer:

2 yards

Step-by-step explanation:

The beetle crawled 3 times more than the spider crawled.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that daniel watched a beetle and a spider on the sidewalk. the beetle crawled 1/2 of a yard and the spider crawled 1/6 of a yard.

The beetle crawled how many times is calculated as:-

Beetle crawled  = ( 1 / 2 ) ÷ (1 / 6) x Spider crawled

Beetle crawled = 3 x Spider crawled

Therefore, the beetle crawled 3 times more than the spider crawled.

To know more about an expression follow

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Answer: you lost 15 candies

Step-by-step explanation:

Answer:

30% is the decrease percent

Answer:

Exact answer: 1/3   Decimal Form : 0.3

Step-by-step explanation:

Answer:

C. d= 1/6h

Step-by-step explanation:

2/3 dress in 4 hours

We need to find out how much of a dress can be finished per hour.

2/3 /4 = 2/12

2/12 ---> 1/6

d= 1/6h

Brainliest is much appreciated!

Answer:80

Step-by-step explanation:

take 20 from 100 and give them to 60.

take 10 from 90 and give to 70.

adds ut to avg 80

Answer:

multiplica el valor de volumen por 1e+15

Step-by-step explanation:

Answer:

i dont understand it

Step-by-step explanation:

Answer:

x=2, y=3

Step-by-step explanation:

This is a system of equations.

To solve a system of equations, we use the substitution method.

We can plug in the first equation, [tex]x=2y-4[/tex], into the value for x in the second equation. Now, the second equation looks like this:

[tex]2*(2y-4)+y=7[/tex]

We simplify and solve for y:

→ [tex]4y-8+y=7[/tex]

→ [tex]5y=15[/tex]

→ [tex]y=3[/tex]

Now, we plug in the value for y, which is 3, into either equation. I will just use the first equation:

→ [tex]x=2*3-4[/tex]

→ [tex]x = 2[/tex]

Let me know if my explanation is unclear.

Answer:

4*3 - 3*3;

Joe read 3 more books than Craig

Step-by-step explanation:

Given

Craig:

3 books weekly for 3 weeks

Joe:

4 books weekly for 4 weeks

Required

How many more books did Joe read.

First, we need to determine number of books Craig reads

If in a week, Craig reads 3 books

Then in 3 weeks, Craig reads 3 * 3 books

Next, we need to determine number of books Joe reads

If in a week, Joe reads 3 books

Then in 4 weeks, Joe reads 4 * 3 books

Next, we determine the difference;

[tex]Difference = 4 * 3 - 3 * 3[/tex]

[tex]Difference = 12 - 9[/tex]

[tex]Difference = 3[/tex]

Hence, Joe reads 3 more books

Option D answers the question.

A=90m^2

Cost=RS.7200

I hope that helps

Answer:

this is the formula that you want

Answer: 9 quarters and 5 dimes

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

to find a discount you would multiply 50(0.20) whatever amount you get you would subtract that from 50

this is the same as 50(0.80)