Answer:
Center of circle: (1, -2)
Radius: √6
Step-by-step explanation:
First, we need to isolate the constant:
Then, we can divide the whole equation by 4:
Then, we can complete the square(reminder: (a+b)^2 = a^2 + 2ab + b^2)
Now that we got the standard equation of the circle, we can find the center and radius by using the equation , where (h, k) is the coordinate of the center, and r is the radius.
Therefore, the center of the circle is (1, -2), and the radius of the circle is √6.
Step-by-step explanation:
The center and radius of the circle 4x² + 4y² - 4x + 16y + 1 = 0 are (1/2, -2) and 2 respectively.
To solve the question, we need to know the standard equation of a circle.
What is the standard equation of a circle?The standard equation of a circle with center (h,k) and radius, r is
(x - h)² + (y - k)² = r² (1)
Now, to find the center and radius of 4x² + 4y² - 4x + 16y + 1 = 0, we convert it to standard form by completing the square method.
What is completing the square method?This is a mathematical operation in which we convert a mathematical expression into a perfect square.
So, 4x² + 4y² - 4x + 16y + 1 = 0
Subtracting 1 from both sides, we have
4x² + 4y² - 4x + 16y + 1 - 1 = 0 - 1
4x² + 4y² - 4x + 16y = - 1
Divding through by 4, we have
x² + y² - x + 4y = -1/4
Adding half the square of the coefficient of x and y to both sides, we have
x² + y² - x + 4y + (-1/2)² + 2² = -1/4 + (-1/2)² + 2²
x² - x + (-1/2)² + y² + 4y + 2² = -1/4 + 1/4 + 2²
(x - 1/2)² + (y + 2)² = 0 + 2²
(x - 1/2)² + (y + 2)² = 2² (2)
Comparing equations (1) and (2), we have h = 1/2, k = -2 and r = 2.
So, the center and radius of the circle 4x² + 4y² - 4x + 16y + 1 = 0 are (1/2, -2) and 2 respectively.
Learn more about standard equation of a circle here:
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HELP ME PLEASE!!,I WILL GIVE BRAINLIEST!!I PROMISE:)!!
Answer: C
The denominator is just the number on the bottom. In this case its [tex]2\sqrt{2}[/tex]
Find the measure of < 3 in the figure if the measure of < 2 is 130
Answer:
50
Step-by-step explanation:
All angles around a circle is 360°
/_ 2 = 130°
/_ 1 = 130° (Vertically opposite angles)
= 130° + 130° = 260°
all angles = 360°
= 360° - 260° = 100°
= 100° ÷ 2
= 50°
= /_ 3 and /_ 4 = 50°
Verification = 130° + 130° + 50° + 50° = 360°
State whether the indicated angle pairs are adjacent or not. An explanation would be nice, but you don't have to.
1. Yes, angles a and b have a common vertex (starting point) and a common side (the line between angle a and b). They do not overlap.
2. No, angles a and b share a common vertex but not a common side.
3. No. Same as above.
4. Yes, anlges a and b share a common vertex and side.
Determine the value of x (Different math problem)
Answer:
X=11
Step-by-step explanation:
5x+9+4x+5+7x-10=180°
5x+4x+7x+9+5-10=180°
16x+4=180°
16x=180°-4°
16x=176
X=11
6)a garden was square, but last year she made it makes or shortening one side 5 meters and the other 8 meters. If the area of the smaller garden is 180 m², then what was the area of her square garden
Answer:
let dimention of original garden be x
then (x-8)(x-5) = 180
x^2 -13x -140 = 0
(x-20)(x+7)=0
x= 20 or x = -7
x = 20
original area = (20)^2
= 400 m^2
7,469.25 to the nearest cent
It already is to the nearest cent. 25 cents.
Answer:
0
Step-by-step explanation:
9r-5r+2+r ????????? Pls help me
Answer:
5r + 2
Step-by-step explanation:
9r-5r+2+r=5r+2
\mathrm{Group\:like\:terms}
=9r-5r+r+2
\mathrm{Add\:similar\:elements:}\:9r-5r+r=5r
=5r+2
4(3x+2y) distributive property pls help
Answer:
[tex]12x+8y[/tex]
Step-by-step explanation:
1) Expand by distributing terms.
[tex]4*3x+4*2y[/tex]
2) Simplify 4*3x to 12x.
[tex]12x+4*2y[/tex]
3) Simplify 4*2y to 8y.
[tex]12x+8y[/tex]
Therefor, the answer is 12x + 8y.
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The answer is the third one 5/6
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Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of the shade?
The area of the shade is
ft2.
Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of the shade?
The area of the shade is
ft2.
Answer:
24ft.
Step-by-step explanation:
Formula: (LxW)/2
6x8=48
48/2=24
answer; 24
Can some one help me answer this.
Answer: y= 0.0025
Step-by-step explanation:
Answer:
y= 0.0025
Step-by-step explanation:
every number in the y place is mutipled by four so to find y you need to divide 0.01 by 4
The length of a rectangle is 3 times the width. If
the length is decreased by 4m and the width is
increased by 1m, the perimeter will be 66m.
Determine the dimensions of the original rectangle.
Answer:
Length = 27 metresWidth = 9 meters
Step-by-step explanation:
PLEASE HELP I"LL MARK YOU THE BRAINLEST AND GIVE YOU ADDITIONAL POINTS> HELP ITS DUE VERY SOON. To answer this question you must divide the shape into two triangles and a rectangle and add the sums of the areas together.
You work as a custodian at a school and are responsible for wiping cafeteria tables in the shape shown. Each spray bottle covers 200 square feet, and you need to clean 6 tables.
If you have 4 bottles of spray, do you have enough to clean all 6 tables?
Yes, because the area of all 6 tables is 420 sq. ft., and the spray covers 800 sq. ft.
Yes, because the area of all 6 tables is 432 sq. ft., and the spray covers 800 sq. ft.
Yes, because the area of all 6 tables is 768 sq. ft., and the spray covers 800 sq. ft.
No, because the area of all 6 tables is 804 sq. ft., and the spray only covers 800 sq. ft.
No, because the area of all 6 tables is 912 sq. ft., and the spray only covers 800 sq. ft.
Answer:
option E
Step-by-step explanation:
No, because the area of all 6 table is 912 sq .ft
and the spray only covers 800 sq .ft .
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Answer:
Both classes will have the same value for the third quartileStep-by-step explanation:
This is it because the 3rd quartile is where the maximum or whisker is. Hope this helps!
Answer in a flash!!!
Answer:
C
Step-by-step explanation:
As x moves towards infinity, the y value is constant, it never changes.
Answer:
The answer is C, it doesn't show a change
Find the perimeter of this semi-circle with diameter 62cm.
Give your answer as an expression in terms of Pi
Please include the formula
Step-by-step explanation:
hope it helps
have a great day!!
anyone help with this?
The table shows the balance of two accounts each year for four years. Determine whether each balance is linear or nonlinear. Then predict which account will have a greater balance in Year 3.
Year, t Account A Balance Account B Balance
0 $450 $550
1 $504 $570
2 $564.48 $590
Account A Balance is linear. Account B Balance is nonlinear. Account A will have a greater balance in Year 3.
Account A Balance is nonlinear. Account B Balance is linear. Account A will have a greater balance in Year 3.
Account A Balance is linear. Account B Balance is nonlinear. Account B will have a greater balance in Year 3.
Account A Balance is nonlinear. Account B Balance is linear. Account B will have a greater balance in Year 3.
Account A Balance is nonlinear. Account B Balance is linear. Account A will have a greater balance in Year 3. Then the correct option is B.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
The slope for account A is calculated as,
m = (504 - 450) / (1 - 0) = (564 - 504) / (2 - 1)
54 ≠ 60
Account A is non-linear. The amount after 3 years will be more than $620 ($564 + $60).
The slope for account B is calculated as,
m = (570 - 550) / (1 - 0) = (590 - 570) / (2 - 1)
20 = 20
Account A is linear. The amount after 3 years will be $610 ($590 + $20).
More about the slope link is given below.
https://brainly.com/question/3605446
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What are two components of a sample space
Please answer ASAP no links please and thank you
Answer:
28672
Step-by-step explanation:
4 x 4 x 4 x 4 x 7 x 4 x 4
(18x 5 + 6x 4 - 12x 3) ÷ 6x 2
Marcus mows lawns for his summer job. He earns $15 per lawn. If he earned $75 dollars during the week, how many lawns did he mow?
One point on a line is (4, 6). The slope of the line is 3/4. Choose all of the following that could be another point on the line.
a. (0, 3)
b. (-8, -3)
c. (0, -3)
d. (-8, -1)
e. (12, 12)
Find the missing side
Answer:
8
Step-by-step explanation:
13 - 5 = 8
NEED HELP ASAP WILL GIVE BRAINLY
Answer:
The third one
Step-by-step explanation:
4 x 14.4^3 x pi
---------------------
3
What is the slope of the line that contains these points? x=9,13,17,21 and y =-24,-21,-18,-15
Someone plz help me giving brainliest!
Answer:
the estimate is : 39 7/32
the answer is : 46 9/35
Find the value of x.
Answer:
x = 33
Step-by-step explanation:
x - 12 and 2x + 3 form a right angle , then
x - 12 + 2x + 3 = 90
3x - 9 = 90 ( add 9 to both sides )
3x = 99 ( divide both sides by 3 )
x = 33
The circumference of a circle measures 88 cm. Find the length of the circle's diameter Use pi = 22/7 PLS HELP MEEEEE
a) 8 cm
b) 276 cm
c) 44 cm
d) 28 cm
Answer:
28, let me know if you got it right
The area of a rectangular portrait is 20 square feet. It is 4 feet wide. How high is it?
Answer:
5 feet high
Step-by-step explanation:
A= LxW
Yx4= 20
/4 /4
Y= 5ft
It is 5ft high