Answer:
(- 2, 3 )
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r the radius
Given
4x² + 4y² + 16x - 24y - 52 = 0 ( divide through by 4 )
x² + y² + 4x - 6y - 13 = 0 ← add 13 to both sides and rearrange terms on left side
x² + 4x + y² - 6y = 13
Using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(2)x + 4 + y² + 2(- 3)y + 9 = 13 + 4 + 9
(x + 2)² + (y - 3)² = 26 ← in standard form
with centre (- 2, 3 )
Answer:
Centre at [tex](-2,3)[/tex].
Step-by-step explanation:
Use the general formula for a circle to answer this question. The general formula is :
[tex](x-a)^2+(y-b)^2=r^2[/tex], where [tex](a,b)[/tex]is the centre of the circle and [tex]r[/tex] is the radius of the circle.
We have to get the equation we've been given into the general form. We can do this by completing the square as follows:
[tex]4x^2+16x+4y^2-24y-52=0[/tex] -Group like terms together.
[tex]x^2+4x+y^2-6y-13=0[/tex] - Divide by common factor of 4.
[tex](x+2)^2+(y-3)^2=26[/tex] - Complete the square and move constant to the other sides.
Now that it's in the general form we can find the centre. Centre at [tex](-2,3)[/tex].
Geometry (10th grade ) Circles
7 POINTS
How do I solve this ?
Mr. Cota’s family bought 4 sandwiches and 3 salads. They spent $45.50. Write an equation that represents this situation. Let x be the cost of a sandwich and y be the cost of a salad.
When graphing the coordinate (3,4) you would...
A. first move 3 coordinates up the y axis and then 4 coordinates over the the x axis
B. first move 3 coordinates over on the x axis and then 4 coordinates up the y-axis
Need help on angles of polygons
Answer:
x=8
Step-by-step explanation:
180-71=109
360-109=251
251=10x+6+13x-2+8x-1
251=31x+3
251-3=
248/31=8
Hope this helps
Roy uses 1/4 cup of batter for each muffin make a list to show the amount of battery he will use depending on the number of muffins he make
Answer:
D: 1/4,2/8,4/16,6/24,8/32.
Step-by-step explanation:
Using the unit circle, determine the value of sin(300°).
A) -1/2
B) -√3/2
C) 1/2
D) √3/2
[tex]\huge{ \mathcal{ \underline{ Answer }\: \: ✓ }}[/tex]
According to the unit circle, the value of sin will be :
[tex] \boxed{\boxed{\longrightarrow \dfrac{ - \sqrt{3} }{2} }}[/tex]
Since, value of sin[tex](\theta)[/tex] is always negative in the fourth quadrant, therefore it can't be [tex]\dfrac{1}{2}[/tex].
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
NEED THIS NOW PLS PLS PLS HELP
Answer:
hypotenuse: x
opposite:z
adjacent:y
2nd
hypotenuse: x
opposite: y
adjacent:z
Step-by-step explanation:
hypotenuse: x
opposite:z
adjacent:y
2nd
hypotenuse: x
opposite: y
adjacent:z
what two fractions divided by each other equal 11/15
Answer:
11/9 and 3/5
Step-by-step explanation:
1st equation: 3n/5 = 11/15
multiply each side by 5/3 to get:
n = 55/45 or 11/9
2nd equation: 11n/9 = 11/15
multiply each side by 9/11 to get:
n = 99/165 which reduces to 3/5
Find the value of each variable using sine and cosine. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
copy and paste the above on to your computer for future reference
n= Hyp
m= adj
8 = Opp
∠=50°
sin(50) = 8/n
n = 8/sin(50)
n = 10.44325
n= 10.4 ( to nearest 10th)
tan(50) = 8 / m
m = 8 / tan(50)
m = 6.712797
m = 6.7 ( to nearest 10th )
:)
a 10 foot ramp makes a 30 degree angle with the ground, how far above ground is the top of the ramp? pls help
Answer:
10 foot mean twenty three inches
(7x+1)(2x−3)=0 solve for roots
Answer:
x = - [tex]\frac{1}{7}[/tex], x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
(7x + 1)(2x - 3) = 0 ← in standard zero product form
Equate each factor to zero and solve for x
7x + 1 = 0 ⇒ 7x = - 1 ⇒ x = - [tex]\frac{1}{7}[/tex]
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
Answer:
x = - 1 / 7 and x = 3 / 2
Step-by-step explanation:
14x2 - 21 x + 2x- 3 = 0
14x2 - 19x -3 = 0
x = 1 9 + 23 / 28 = 3 / 2
x = 19 - 23 / 28 = - 1 / 7
7x + 1 = 0 ⇒ 7x = - 1 = -1 / 7
2x - 3 = 0 ⇒ 2x = 3 = 2/ 3
Hope this answer helps you :)
Have a great day
Mark brainliest
A store owner has 31.2 pounds of candy. If he splits the candy equally into 6 boxes, how many pounds of candy will each box contain?
Answer:
5.2
Step-by-step explanation:
if you take 31.2 and divide it by 6 you will get 5.2
Answer:
5 1/5 pounds which equals 5.2 pounds
Step-by-step explanation:
31 2/10 = 31 1/5
31 1/5 = 156/5
156/5 ÷ 6 means 156/5 x 1/6
multiply numerators to get 156
multiply denominators to get 30
156/30 = 5 6/30 or 5 1/5 simplified
i really need help. 20 points+brainliesttt
Answer:
I think c
Step-by-step explanation:
HELP THIS IS DUE TOMORROW!!!!
Answer:
The answer is 1,136
Answer:
20/89
Step-by-step explanation:
The question wants the student from Gryffindor. So we will take the total of the Gryffindor student only is 178
Then they want the student who has owl then is 40.
So you use 40/178
And get the simple fraction 20/89
Callie wants to buy a new pair of jeans that reguiarly
costs $50. If the jeans aro on sale for 10% off, and sales
tax is 10%, how much will Callie pay for the jeans?
Answer: k
Step-by-step explanation:
Is this from Adam test?
Pleaseeeee HELP!! |•×•|
Find the RATIO and the EXACT VALUE of the given Csc A.
Answer:
Step-by-step explanation:
Take angle A as reference angle
using cosec rule
cosec A=hypotenuse/opposite
cosec A=13/5
cosec A=2.6
A=cosec 22.5
A=22.5
for ratio,
cosec A=13/5
39 divided by 11 in fractions
Answer:
39/11 itself is the simplest form
since 11 is a prime number and cannot be divided further.
hope its clear! :D
Which expression correctly illustrates the greatest common factor being factored out of the expression 72 + 40?
A. 2(36 + 20)
B. 4(18+10)
C. 6(12+7) D. 8(9+5)
What is the approximate area of the circle shown below?
A. 50 cm2
B. 201 cm2
C. 804 cm2
D. 25 cm2
Answer:
Hello! answer: B.
attention: im using 3.14 for pi so answers may vary. ok so in this picture we are provided with the diameter to find area we can do radius × radius × 3.14
16 ÷ 2 = 8 8 × 8 = 64
64 × 3.14 = 200.96 When you round this up it's 201 so approximately the answer would be B. Hope that helps!
Find the slope
(-5,2) (-12,-11)
Answer:
m= 13/7
Step-by-step explanation:
(-5, 2) , (-12, -11)
Slope(m)
m= (y2-y1)/(x2-x1)
m= (-11 - 2)/(-12 + 5)
m= (-13)/(-7)
m= 13/7
what is 15/3 equal to
Answer: 5
Step-by-step explanation:
Smh
Find the circumference of a circle with a radius of 6 inches.
Answer:
C≈37.7
Step-by-step explanation:
C = 37.68
Step-by-step explanation:
6×2 = 12
C = pi d
C = 3.14 × 12
C = 37.68
Solve for x. Show your work.
Answer:
x=6
Step-by-step explanation:
Both Angles are commentary and have a sum of 90
Therefore, set your formula up as
90 = 5x + (x + 54)
90 = 6x + 54
90 - 54 = 6x
36 = 6x
36/6 = x
6 = x
Which equation can be used to find A, the area of the parallelogram shown?
A parallelogram with a base six meters, height seven meters, and diagonal side length eleven meters
A = 6 × 7
A = 6 × 11
A = 12 × 6 × 7
A = 12 × 6 × 11
Answer:
A = 6 x 7
Step-by-step explanation:
To find the area of a parallelogram we use the equation of Area = base x height. In this case since the base is 6 and the height is 7, we plus in these numbers for the variables (b x h) to get the area.
Will mark brainliest. Help
Answer:
D
Step-by-step explanation:
2f(x+1)-0 = 2f(x+1). The lowest point of the function is (1, 0), which matches up with the equation. No other equation has this coordinate as the lowest point, therefore it can only be D
How do the triangle theorems work. Asa aas sas hL?
How do you find the value for x?
Find the value of x ?
Answer:
x = 27
Step-by-step explanation:
Both angles together form 180 degree.
Set your formula up as
180 = (5x+2) + (x + 16)
180 = 5x + 2 + x + 16
180 = 6x + 18
180 - 18 = 6x
162 = 6x
162/6 = x
27 = x
Answer:
27°
Step-by-step explanation:
They are in a straight line , therefore ,
> 5x + 2 + x + 16 = 180
> 6x + 18 = 180
> 6x = 180 - 18
> 6x = 162
> x = 27
Hence the required answer is 27°
Where is the blue dot located on the number line
===================================================
Explanation:
Use the midpoint formula to find the midpoint of -10 and -4
A = -10 = left endpoint
B = -4 = right endpoint
C = midpoint of A and B
C = (A+B)/2
C = (-10+(-4))/2
C = -14/2
C = -7
The value -7 is exactly midway between -10 and -4, so that's the missing tickmark between those values. Consequently, it also means each gap is 3 units wide (i.e., distance from -10 to -7 is 3 units).
Start at -10 and subtract 3 to move to the left by that amount. Do this three times to follow this pattern:
move from -10 to -13move from -13 to -16move from -16 to -19The blue dot is located at -19
Sally graphs a system of inequalities as shown below:
Step-by-step explanation:
first inequality :
x + 2y ≥ 10
second inequality :
x - y ≤ -2
An angle whose measure is
is rotated more than halfway around a circle.
Answer: 210
Step-by-step explanation: the correct answer on edge2020