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
 please help me ahhh im doing 8th grade math with pythagorean theorem
Answers
Step-by-step explanation:
The pythagorean theorem is the sum of the two legs squares equal the hypotenuse squared.
The hypotenuse is the longest side so 3.5 is our hypotenuse.
Apply formula to see of true.
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {2.5}^{2} + {3}^{2} = {3.5}^{2} [/tex]
[tex]6.25 + 9 = (3.5 {}^{2}) {?} [/tex]
[tex]15.25 = 12.25 {?}[/tex]
So it isn't a triangle since they aren't equal
Jeremiah spent $68 for concert tickets. He bought one adult ticket for $18 and several children's tickets for $10 each. Which number line represents the number of children's tickets Jeremiah bought?
Answers
Your welcome
A water pipe has a flow of 2 gallons per minute how many 2 qt could fill it in 1/2 hour?
Answers
Answer:
60 Gallons in 1/2 hour. So we can convert that to 240 quarts. it says 2 so we divide that by two. 240/2=120
Step-by-step explanation:
Hope this helps!
Add the two functions.
f(x) = 3x3 + 7x − 26
g(x) = x + 2
Answers
Answer:
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2. G ( x ) = 1/2X^2 + 2x + C
The sum of 10 and twice a number
(an equation)
Answers
Answer:
10+2x= the sum (anything could be put here)
Step-by-step explanation:
Well sum is automatically addition
Doubleing a number is basically multiplying it by 2
so
10+2x= whatever youw ant to put here
Please help help me please ASAP I am begging someone please
No links or files
Answers
Answer:
1. b
2. e
3. a
4. f
5. g
Step-by-step explanation:
hope this helps
Alyssa's mother was sick. Alyssa, went to the store and bought 2/10 pound of medicine, then another 1/10 of medicine. What would the answer be when you add them together? Denominator stays the same.
Answers
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Answers
Answer:
A - is the best answer...
A map of the Orchid Hill Neighborhood is shown. The population of Orchid Hill Neighborhood is 360 people.
Answers
Answer:
(a) The area is 0.03 square miles
(b) The population density is 12000 people per square miles
Step-by-step explanation:
Given
See attachment for complete question
Solving (a): Area of Orchid Hill (in square miles)
The dimension of the neighborhood is 4 blocks by 3 blocks
Since each block are of the same dimensions
The area is calculated as:
[tex]Area = 4blocks * 3 blocks[/tex]
If [tex]20\ blocks = 1\ mile[/tex] then:
[tex]1\ block = \frac{1}{20} mile[/tex]
[tex]1\ block = 0.05mile[/tex]
So, we have:
[tex]Area = 4blocks * 3 blocks[/tex]
[tex]Area = 4 * 0.05 * 3 * 0.05[/tex]
[tex]Area = 0.03mi^2[/tex]
Solving (b): The population density of the neighborhood as people per square mile
From the question, we have:
[tex]People = 360[/tex]
[tex]Area = 0.03mi^2[/tex] --- calculated
So, the population density is:
[tex]Density = \frac{People}{Density}[/tex]
[tex]Density = \frac{360}{0.03}[/tex]
[tex]Density = 12000[/tex]
The height of a cylinder is 8 centimeters. The circumference of the base of the cylinder is 20π centimeters. Which measurement is closest to the volume of the cylinder in cubic centimeters?
Answers
Answer: [tex]2514.28\ cm^3[/tex]
Step-by-step explanation:
Given
The height of the cylinder is [tex]h=8\ cm[/tex]
Circumference of the base is [tex]20\pi \ cm[/tex]
suppose 'r' is the radius of the cylinder
[tex]\Rightarrow 2\pi r=20\pi\\\Rightarrow r=10\ cm[/tex]
The volume of a cylinder is [tex]V=\pi r^2h[/tex]
[tex]\Rightarrow V=\pi \times 10^2\times 8=2514.28\ cm^3[/tex]
Can someone help me solve this
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Answer:
BC=15.01
Step-by-step explanation:
tan(65) = x/7
x = 7 x tan(65)
x = 15.01
Need help What is 6/10 in simplest form
Answers
Answer:
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Step-by-step explanation:
35.
Step-by-step explanation:
The simplest form of 610 is 35.
Lines a and b are parallel. The slope of line b is 1/3 . What is the slope of line a?
Answers
Answer:
1/3
Step-by-step explanation:
Linear or Non Linear
The cost to ride in a taxi that initially charges $4 plus $0.25 per half mile
Answers
The sum of three consecutive integers is -27 what is the product of the smallest and largest of the three integers?
Answers
Answer:
80
Step-by-step explanation:
in
2. Susan is divorced and has one child that she pays for. She will file her taxes as a head of
household for federal income tax and single for state tax purposes. Susan's gross income is
$48,500. Susan lives in Louisiana
Answers
Answer:
what si the questions
Step-by-step explanation:
Help!!! I do not seem to understand this problem well.
Answers
Step-by-step explanation:
weeks. days. (wk,d)
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What the answer. ? Please no links
Answers
Answer:
would not be able to use 3 1/2 ft
Step-by-step explanation:
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April ought some sports drinks and slices of pizza for her friends. She bought 3 more sports drinks than slices of pizza. If her total was $21.25, how many sports drinks did she purchase?
(1 sports drink is $1.75, one pizza slice is $2.75)
{System of Operations}
Answers
s= p+3
(number of sports drinks= s)
(pizza slices= p)
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Answers
Please help! Thank you!
Answers
Answer:
X=sigma xi/no of observation
5= (?) /4
5*4=sum of all numbers
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If you are helped by this answer pls tag me brianliest I really want it
THANK YOU.......
Favorite Color
red
32.86 %
blue
24.36 %
yellow
15 %
green
27.78 %
1728 students were asked to name their favorite color.
The results are shown in this circle graph.
How many students gave green as their favorite?
O A 94
OB. 480
O c. 28
D. 432
O E. 568
Answers
Answer:
I say 28
Step-by-step explanation:
because its 27 and it's almost to 28
Answer:
E. 568
Step-by-step explanation:
The radius of a circle is 7 miles. What is the circle's area?
Use 3.14 for .
Answers
Answer:
A≈153.94mi²
Step-by-step explanation:
A = πr2 = π · 72 ≈ 153.93804mi²
given the f(x)=x+2 g(x)=3x²-1 what is (fg) (x)?
Answers
Answer:
(f·g)(x) = 3x² + 1Step-by-step explanation:
Given:
f(x)=x+2, g(x)=3x²-1To find:
(f·g) (x) = ?Solution:
(f·g)(x) = f(g(x)) = f(3x²-1) = (3x²-1) + 2 = 3x² + 1(f·g)(x) = 3x² + 1Someone please help with this khan assignment
Answers
Answer:
slopes is 1/4
y intercept is 3 i think the inequality would be y=mx+b so it would be y=1/4x+3
Step-by-step explanation:
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[tex] \sqrt{15} [/tex]
Answers
Answer:
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Firstly,
According to rational and irrational,
[tex] \sqrt{15} \: is \: irrational[/tex]
Since,
Natural numbers, Whole Numbers and Integers all come under Rational number.
Hence,
[tex] \sqrt{15} [/tex]
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Write the answer as a proper fraction,
Answers
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Answers
Answer:
y = -4x+1.5
Step-by-step explanation:
I just plugged it into desmos honestly :/
What's the circumference of a circle with a radius of 10 inches
Answers
Answer:
5
Step-by-step explanation:
5
what is (-10,10) if i dilate it by 1/2
Answers
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