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;-)
Please help!!!!!!!!
[tex]d. \: \frac{hi}{eg} = \frac{ij}{jk} [/tex]
dont forget to follow me
Solve by factorization
8+7x-x^2=0
Answer:
x = - 1, x = 8
Step-by-step explanation:
Given
8 + 7x - x² = 0 ( multiply through by - 1 and arrange into standard form )
x² - 7x - 8 = 0 ← in standard form
(x - 8)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x - 8 = 0 ⇒ x = 8
What is an equation of the line that passes through the point (-1, 4) and is perpendicular to the line x - 6 y equals 12
Answer:
y = -6x - 2.
Step-by-step explanation:
x - 6y = 12
Gradient = 1/6
since the line is perpendicular to x - 6y = 12
its gradient will be -6.
hence its equation will also be:
y - 4 = -6(x - (-1))
y - 4 = -6x -6
y = -6x -2
If the production rate is 1,325 cookies per hour at a bakery, how many cookies will be produced in an 8 hour shift?
Answer:
10,600 cookies will be made in 8 hours
Step-by-step explanation:
1325 × 8 = 10,600
Consider the formula for the average velocity, v, of a moving particle. In the formula, d1 and d2 represent the distance traveled by the particle at times t1 and t2 respectively.
PLEASE HELP MEH NOW!! I WILL MARK BRAINLIEST 1/8 divided by 5
Answer:
1/40 or .025
Step-by-step explanation:
Just flip the 5 then multiply instead of dividing.
[tex]\frac{1}{8}*\frac{1}{5}[/tex]
You turn 5 into 1/5 by flipping it.
When you multiply them you get.
[tex]\frac{1}{40}[/tex]
or
.025
Hope this helps! Have a blessed day!
2.(X+3) > 5. (3x + 1)
Answer:
3x+1 > 7
Step-by-step explanation:
x+3 > 5
x > 5-3
x > 2
3(x)+1
= 3(>2)+1
= 3x+1 > 7
Hope this helped!
Is this function in Slope-Intercept Form, Point Slope Form, or Standard Form?
y+4=-2(x-2)
A. Slope-Intercept Form
B. Point Slope Form
C. Standard Form
Answer:
this is point slope form
Step-by-step explanation:
point slope form is y-y1=m(x-x1)
slope intercept is y=mx+b
standard form is Ax+By=c
If you understand similar figures you will get this because I don't
Answer:
I think its 3 but im not sure
Step-by-step explanation:
2x-1 you would do the opposite so you would add 1 to both sides. That would cancel the -1. Which leaves you with 3x
Find the measurement
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]6z + 7 = 8z - 9[/tex]
[tex]8z - 9 = 6z + 7[/tex]
Add sides 9
[tex]8z - 9 + 9 = 6z + 7 + 9[/tex]
[tex]8z = 6z + 16[/tex]
Subtract sides 6z
[tex] - 6z + 8z = - 6z + 6z + 16[/tex]
[tex]2z = 16[/tex]
Divide sides by 2
[tex] \frac{2z}{2} = \frac{16}{2} \\ [/tex]
[tex]z = 8[/tex]
Thus ;
[tex]NP = 8z - 9[/tex]
[tex]NP = 8(8) - 9[/tex]
[tex]NP = 64 - 9[/tex]
[tex]NP = 64 - 4 - 5[/tex]
[tex]NP = 60 - 5[/tex]
[tex]NP = 55[/tex]
Done...
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Quadrilateral BCDE is a rhombus. What is DE?
D
с
9z
E
2+72
B
Answer:
DE = 81
Step-by-step explanation:
The sides of a rhombus are congruent , thus
9z = z + 72 ( subtract z from both sides )
8z = 72 ( divide both sides by 8 )
z = 9
Then
BC = 9z = 9 × 9 = 81
Since the sides are congruent, then DE = 81
Use the zero product property to find the solutions below
Answer:
Step-by-step explanation:
1. (x - 3)(x + 7) = 0
By zero product property,
(x - 3) = 0 ⇒ x = 3
(x + 7) = 0 ⇒ x = -7
2. (2x + 6)(x - 7) = 0
2(x + 3)(x - 7) = 0
By zero product property,
(x + 3) = 0 ⇒ x = -3
(x - 7) = 0 ⇒ x = 7
3). (4x - 2)(x + 4) = 0
2(2x - 1)(x + 4) = 0
(2x - 1) = 0 ⇒ x = [tex]\frac{1}{2}[/tex]
(x + 4) = 0 ⇒ x = -4
4. (5x - 1)(3x + 9) = 0
3(5x - 1)(x + 3) = 0
By zero product property,
(5x - 1) = 0 ⇒ x = [tex]\frac{1}{5}[/tex]
(x + 3) = 0 ⇒ x = -3
5. (x - 8)(x + 2) = 0
By zero product property,
(x - 8) = 0 ⇒ x = 8
(x + 2) = 0 ⇒ x = -2
Solve this system of equations, then determine what y equals.
x + 5y= 7
2x + 4y = -4
Answer:
y = 3.
Step-by-step explanation:
x + 5y = 7
x = 7 - 5y
Substitute x for 7 - 5y in the second equation.
2 ( 7 - 5y ) + 4y = -4
14 - 10y + 4y = -4
14 - 6y = -4
6y = 14 + 4
6y = 18
y = 3.
Hope this helped!
Answer:
y = 3
Step-by-step explanation:
x + 5y = 7
Subtract 5y from both sides;
x = -5y + 7
Substitute x into the equation;
2x + 4y = -4
2(-5y + 7) + 4y = -4
Distribute;
-10y + 14 + 4y = -4
-6y + 14 = -4
Subtract 14 from both sides;
-6y = -18
Divide both sides by -6
y = 3
Substitute y;
x + 5y = 7
x + 5(3) = 7
x + 15 = 7
Subtract 15 from both sides;
x = -8
At the beginning of the season, Jamie pays full price for a ticket to see the Panthers, her favorite baseball team. the panthers currently have 33 wins and 31 losses. A. Represent the total change in the cost of a ticket given their losses B.What is the cost of a ticket for the nest game they play. (A or B question)
Answer: a. -$12.71
b. $36.93
Step-by-step explanation:
Given data:
No of loss = 31
No of wins = 33
•Had to complete the question first,
Given that the price of the ticket at the beginning of the season = $49.64
the ticket price decrease = $0.41 for every loss
Solution:
a) The cost of the ticket decreases by $0.41 for every game loss.
Change in cost = -$0.41 × number of losses
= -$0.41 × 31
= -$12.71
b) The cost of a ticket for the next game given they have 31 losses is:
Cost of ticket = Initial cost of ticket + change in cost
= $49.64 - $12.71
= $36.93
I can’t remember how to do this if I try a bit longer I can probably figure it out but not sure exactly. Please If anyone can help so I can come back and check it later
Answer:
£2.38
Step-by-step explanation:
2.5 cost £1.40
4.25 cost £ x
so x=(4.25*1.40)/2.5=5.95/2.5=£2.38
What is an equation of the line that passes through the points (6,8) and (-3,2)
Answer:
y = 2/3x + 4
Step-by-step explanation:
Let the equation of the line be y = mx + c
m = (2-8)/(-3-6) = 2/3
sub (6, 8):
8 = 2/3(6) + c
c = 4
the equation if the line is y = 2/3x + 4
This is a question on coordinate geometry. 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 :)
Kiran's family is having people over to watch a football game. They plan to serve sparkling water and pretzels. They are preparing 12 ounces of sparkling water and 3 ounces of pretzels per person. Including Kiran's family, there will be 10 people at the gathering.
A bottle of sparkling water contains 22 ounces and costs $1.50. A package of pretzels contains 16 ounces and costs $2.99. Let LaTeX: nn represent number of people watching the football game, LaTeX: ss represent the ounces of sparkling water, LaTeX: pp represent the ounces of pretzels, and LaTeX: bb represent Kiran's budget in dollars. Which equation best represents Kiran's budget?
15. Joey indicated that the Bayugan City can be found at coordinates (-1 1/2,0). Do you agree with Joey? Why or why not?
Answer:
The answer is "False".
Step-by-step explanation:
In this question, I disagree with Joey since the town of Bayugan has been at co-ordinates (0,[tex]-1\frac{1}{2}[/tex]) which would be contradictory to Joey.
What is the next term in the following sequence?
-3.4, 11, 18, ...
27
25
7
12
Answer:
the difference is seven and the next answer should be 25 because 18+7=25
Answer:
25
Step-by-step explanation:
In order to find the answer to this question you must find the rule that the sequence goes by and then add.
You can see that it adds seven in order for it to reach four and then add's seven again to reach eleven meaning the rule of this sequence is plus seven.
So now just add:
[tex]18+7=25[/tex]
[tex]=25[/tex]
Hope this helps.
please 20 POINTS!!!!!!!!!!!!!!!!!
A is located at (-4,0) on the coordinate plane and C is located at (2, 10). Angle CBD measures 100 degrees. Which of the following could be the coordinates of E and G so that angle HFE also measures 100 degrees?
Answer: e(-2,-2) and G(4,6)
Step-by-step explanation:
Hi everyone,Can someone please explain me these I am confused I really need help if you can help please help me.
Answer:
36
Step-by-step explanation:
Just add the students with doing this: number of studentsxsiblings
Answer:
For number one count all dots and for two start counting from 4 siblings
Step-by-step explanation:
9 is 25% of what number?
9 is 10% of what number?
9 is 75% of what number?
9 is 150% of what number?
Answer:
1. 36
2. 90
3. 9
4. 6
Step-by-step explanation:
5x-9y=17 solve for y
Answer: y=17-5x/-9
Step-by-step explanation: 5x-9y=17
-9y=17-5x
Y=17-5x/-9
You can’t go any further than that because you can’t combine unlike Terms on the right side of the equation.
Is the equation below true or false?
24 = 2 • 4
Answer:
false
Step-by-step explanation:
2 · 4 = 8
Answer:
False
Step-by-step explanation:
24 is not equal to 8 therefore it is not true
Amy has 72 sweet keeps 1/4 for herself and shares the rest with a friend how many sweet will she give her friend
Answer:
54
Step-by-step explanation:
1/4 of 72 is 18
72-18=54
Answer:
She would give her friend 54 sweets. I hope this is right, sorry if it's not.
Step-by-step explanation:
1/4 = 0.25
72*0.25 = 18
72 - 18 = 54
How long can you hold your breath? A statistical question or nonstatistical question
Answer:
nonstatistical
Step-by-step explanation:
Have a great day and hope this helps
Answer:
statistical
Step-by-step explanation:
i did it
Where’s the leg, & hypotenuse for this triangle?!
Pls help, I’ll give brainliest!
plz help me with this
Answer:
slope:3
y intercept:1
equation:y=3x+1
Step-by-step explanation:
Sandy buys school supplies at Office Depot and spends $27.97 . How much will she spend if she uses a 10% off coupon
Answer:
$25.17
Step-by-step explanation:
10 percent of 27.97 is 2.80 so the answer is 25.17
correct if wrong pls
write the equation y =mx+b in slope intercept form!!! thank you and pleaseee hurryyyy
Answer:
y =mx+b that it lolll
Step-by-step explanation: