Identify the center and radius for the circle with the following equation; (x+5)^2+y^2+12y=3
Center= (__,__)
Radius= _____
Answers
Radius: 39
How to do it
Complete the square for
y
2
+
12
y
y
2
+
12
y
.
(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
Substitute
(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
for
y
2
+
12
y
y
2
+
12
y
in the equation
(
x
+
5
)
2
+
y
2
+
12
y
=
3
(
x
+
5
)
2
+
y
2
+
12
y
=
3
.
(
x
+
5
)
2
+
(
y
+
6
)
2
−
36
=
3
(
x
+
5
)
2
+
(
y
+
6
)
2
-
36
=
3
Move
−
36
-
36
to the right side of the equation by adding
36
36
to both sides.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
Add
3
3
and
36
36
.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
This is the form of a circle. Use this form to determine the center and radius of the circle.
Related Questions
How many ounces are in 38 pounds?
Answers
Answer: There are 608 ounces in 38 pounds.
Answer: 608
Step-by-step explanation:
ther are 16 ounces in 1 pound so 16 x 38=608
i checked with my teacher she said its right.
Help help help help help
Answers
Answer:
The answer is 4
Step-by-step explanation:
Find the value of f(7)
Answers
Answer:
f(7) = - 5
Step-by-step explanation:
Locate x = 7 on the x- axis, go vertically down to meet the graph at (7, - 5 )
Then the value of f(7) = - 5
hey cutie pls help me thank u !!
f(x)= 2x-1
g(x)=3x
h(x)=x^2 + 1
Compute the following:
Find f(3)
Choose the best answer
A)9
B)5
C)10
Answers
Find the value of x. Round your answer to the nearest tenth.
x≈
Answers
Answer:
You did not give us an equation :\
Vani signed up for a streaming music service that costs $12 per month. The service allows Vani to listen to unlimited music, but if she wants to download songs for offline listening, the service charges $1.25 per song. How much total money would Vani have to pay in a month in which she downloaded 30 songs? How much would she have to pay if she downloaded s songs?
Answers
Answer:
49.5$
Step-by-step explanation:
first you need to multiply 1.25*30 which will give you 37.5 then from there add the monthly cost which is 12$ giving you the total of 49.5$
if jeff has 20 apples and mike has 18 apples how many aplles do they both have combined.
Answers
Select the statement that describes the expression (one fourth x 8 + 3) ÷ 5.
Add three to the quotient of one fourth and 8, then divide by 5
one fourth times the product of 8 and 3, then divide by 5
Add 3 to the product of one fourth and 8, then divide by 5
Add 3 to the sum of one fourth and 8, then divide by 5
Answers
Answer: B. One fourth times the product of 8 and 3, then divide by 5.
classify the real numbers choose all that apply
Answers
irrational
Which of the following measurements could be the side lengths of a right triangle?
Pythagorean theorem
A.
98in, 42in, 49in
B.
77in, 14in, 70in
C.
63in, 42in, 112in
D.
56in, 14in, 70in
square root
Answers
Answer:
none
Step-by-step explanation:
they don't add up to a right triangle.
1. Solve for xº. 52°
can someone help me please
Answers
Answer:
x=38°
Step-by-step explanation:
x° and 52 make up a right angle, which is 90°, so for an equation you can do
x+52=90
subtract 52 on both sides and you get
x=38
So 52 + x = 90
x = 38
PLEASE HELP!!!!! Thank you!! Will mark brainliest!!!
| x+14 | = 14
| x-14 | = 14
| x+8| = x+8
Answers
Answer:
if youre just looking for x, it would be x=0.
Step-by-step explanation:
the absolute value of any number is just the positive version of that number. So, |0+14|=14 and the same for the rest of them.
In Richmond, Chloe ordered $40 worth of sushi. She knew that when the bill came, she would need to pay Richmond sales tax for 5% and would want to leave a 20% tip on the original $40. including tax and tip, How much did Chloe meal cost?
Answers
Answer:
$50
Step-by-step explanation:
Given data
Cost of sushi= $40
Tax= 5%
Tip= 20%
Let us find the amount of the tax and the tip
Tax
=5/100*40
=0.05*40
=$2
Tip
=20/100*40
=0.2*40
=$8
Hence the total amount paid is
=40+2+8
=$50
Answer:
$50
Step-by-step explanation:
To avoid confusion, we can solve for the sales tax and the tip separately.
Tip
Original Bill x 20%Original Bill x 1/5$40 x 1/5$8Tax
Original Bill x 5%Original Bill x 1/20$40 x 1/20$2Total
Original Bill + Tip + Tax$40 + $8 + $2$50in a 5 day work week, matt puts 175 miles on his car. His wife, Sarah, puts 100 more miles on her car than he does in the amount of time. how many total miles will they put on there cars in 28 work days?
Answers
Answer: the is 1560
Step-by-step explanation:
5-day work week, Matt puts 175 miles on his car. His wife, Sarah, puts 100 more and 28 work days
A board game comes with the set of cards
shown below. Find each ratio in simplest form.
Answers
5:12
2:1
1:2
3:0
Fran's filing cabinet is 6ft in height, 1 1/3 ft wide, and 3ft long. She plans to paint all sides except the bottom of the cabinet. I have to Find the area of the sides she intends to paint.
Answers
Answer:
Area of the cabinet to be painted = 56 ft²
Step-by-step explanation:
The cabinet is shown in the diagram. To find the surface area of the cabinet we will find the surface area of the rectangular cuboid.
Surface Area= 2 lb+ 2hb + 2lh
where l = length , b= breadth and h= height.
From the figure we see that the area of the bottom is given by length * breadth so deducting this from the total surface area of the cuboid gives the surface of the cabinet.
Area of the cabinet to be painted= lb+ 2hb + 2lh
Putting the values we get
Area of the cabinet to be painted = lb+ 2hb + 2lh
= 3* 1 1/3 + 2( 6 * 1 1/3) + 2( 3* 6)
= 3* 4/3 + 2( 6 * 4/3) + 2( 3* 6)
= 4+ 2(8) +2(18)
= 4+16+ 36
56 ft²
This is the outside area of the cabinet which is found front,back, top and two sides that need to be painted.
Help pls class is going to start soon
Answers
Find the 75th term: 88, 81, 74, 67, 60
Answers
Answer:
a₇₅ = - 430
Step-by-step explanation:
There is a common difference between consecutive terms, that is
d = 81 - 88 = 74 - 81 = 67 - 74 = 60 - 67 = - 7
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 88 and d = - 7 , then
a₇₅ = 88 + ( 74 × - 7) = 88 - 518 = - 430
The 75th term of the arithmetic progression is -430
What is Arithmetic Progression?
An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is
Tn = a + (n - 1) d, where Tₙ = nth term and a = first term.
Here d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP : Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Given data ,
Let the Arithmetic progression be = 88 , 81 , 74 , 67 , 60 ...
The first term of the AP is a ₁= 88
Now , the common difference of the AP d = second term - first term
= 81 - 88
= -7
Now , the nth term of the arithmetic progression is given by ,
Tn = a + (n - 1) d
Substituting the values in the equation , we get
T₇₅ = 88 + ( 75 - 1 ) ( -7 )
= 88 + 74 ( -7 )
= 88 - 518
= -430
Therefore , the value of T₇₅ is -430
Hence , The 75th term of the arithmetic progression is -430
To learn more about arithmetic progression click :
https://brainly.com/question/1522572
#SPJ2
31. What is the surface area of the pyramid to the nearest whole number?
A 25 cm
B 60 cm
C 30 cm2
D 85 cm2
Answers
Answer:
D. 85 cm2
Step-by-step explanation:
Why is homework inportant?
Answers
Step-by-step explanation:
homework is like extra practice about what u had previously learned about that day
what is the value of x? 26 degrees tangent lines
Answers
Answer:
154°Step-by-step explanation:
The central angle and the angle between the tangents are supplementary, so
x + 26° = 180° ( subtract 26° from both sides )
26 - 26 = 0
180 - 26 = 154
x = 154°
The value of the x will be 154°.
How to find the interior central angle?The central angle and the angle between the tangents are supplementary.
If there is a circle O with tangent line L intersecting the circle at point A, then the radius OA is perpendicular to line L.
So,
x + 26° = 180°
Subtract 26° from both sides;
x + 26 - 26 = 180 - 26
x = 154°
Hence, the value of the x will be 154°.
Learn more about tangents ;
https://brainly.com/question/10024457
#SPJ2
What is the percent of change from 56 t0 22
Answers
idea 34 I did 56-22 0.0
Answer:
I think it is -60.71428571 percent.
what us 3×3+7×7 but I have to find the answer
Answers
Answer:
58
Step-by-step explanation:
3 * 3 is 9 + 7 * 7 is 49 so 9 + 49 equals 58
Answer:
58
Step-by-step explanation:
Following the Order of Operations, you'd put parenthesis around the two threes and the two sevens, making it (3*3)+(7*7) which equals 9 + 49 and results in the number 58.
Find NK..............
Answers
The required value of the NK in the given figure is NK = 12.
What is a chord?In geometry, a chord is a line segment that connects two points on the circumference of a circle. The two endpoints of the chord lie on the circle, and the chord divides the circle into two segments - the major segment and the minor segment.
Here,
From the figure,
Apply Pythagoras' theorem,
KL² = NL² + NK²
15² = 9² + NK²
NK = √144
NK = 12
Thus, the required value of the NK in the given figure is NK = 12.
Learn more about chords here:
https://brainly.com/question/8944240
#SPJ1
The school office bought 25 pounds of paper . One pound of paper contains 800 sheets of paper did the school buy ?
Answers
Answer:
I think 20,000 sheets of paper
Step-by-step explanation:
800 x 25 is 20,000
Answer:
The school has 20,000 sheets of paper.
Step-by-step explanation:
800 sheets in one pound
800X25=20,000
I NEED HELP PLEASE !
Answers
Answer:
x = 4, -2 1/2
Step-by-step explanation:
factors:
(2x + 5) (x - 4)
set each factor equal to zero:
2x + 5 = 0
2x = -5
x = -5/2
x - 4 = 0
x = 4
at a pizza shop you can choose thick or thin crust red or white sauce and toppings a pepperoni and cheese or vegetarian. create a tree diagram to display the same space
Answers
Answer:
Total 2*2*3 = 12 outcomes
------------------------------------------------------------------------
> thick, white, pepperoni
White > > thick, white, cheese
> thick, white, vegetarian
Thick > >
> thick, red, pepperoni
Red > > thick, red, cheese
> thick, red, vegetarian
------------------------------------------------------------------------
> thin, white, pepperoni
White > > thin, white, cheese
> thin, white, vegetarian
Thin > >
> thin, red, pepperoni
Red > > thin, red, cheese
> thin, red, vegetarian
We can rewrite the expression 16+8 as 8 x (2+1). Notice that 8 is the greatest factor of 16 and 8. Use this same method to rewrite the expression 24+36 as the product of the greatest common factor of 24 and 36 and the sum of the remaining numbers. 24 + 36 = ____________
Answers
Answer:
60
Step-by-step explanation:
24+36=60
Answer:
60
Step-by-step explanation:
24+36=60
Sophie has 7 cookies she wants to share equally with ten friends at her party. Part A If she separates all of the cookies and gives each friend an equal amount, how much cookie will each friend receive? Part B If Sophie wanted to give each friend 1 1/2 cookies, how many more cookies would she need?
Answers
Answer:
Each friend gets 0.7 cookie
8 cookies
Step-by-step explanation:
A.
Number of cookies = 7
Number of friends = 10
how much cookie will each friend receive?
Number of cookie each friend get = number of cookies / number of friends
= 7/10
= 0.7 cookie
Each friend gets 0.7 cookie
B.
If each friend 1 1/2 cookies
how many more cookies would she need?
Total number of cookies needed = 1 1/2 × 10
= 3/2 × 10
= 30/2
= 15 cookies
She already has 7 cookies
Number of cookies needed more = 15 cookies - 7 cookies
= 8 cookies
Cost of shopping trip: $25.00
Find tax amount at 5%
$30.00
$26.25
$1.25
$5.00
Answers
Answer:
$1.25
Step-by-step explanation:
Given: the cost of the shopping trip is $25.00
They want us to find the tax amount at 5%.
Saying that we need to find the 5% of the $25.00.
Convert 5% to 0.05, then take it times 25.
$25 x 0.05 = $1.25
That should give you the 5% of the $25.
If you add $25.00 and the $1.25 together, it should give you $26.25, included with the tax.
Answer:
26.25
Step-by-step explanation:
first we have to add 25.00 plus 5%
