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].
|x-1|-1=1 what’s the value of x
Answer:
x=3, x=-1
Step-by-step explanation:
|x-1|-1=1
Add 1 to each side
|x-1|-1+1=1+1
|x-1|=2
Now set the absolute value to ±2
x-1 = 2 and x-1 = -2
Add 1 to all sides
x-1+1 = 2+1 x-1+1 = -2+1
x=3 x = -1
hey! i’ll give brainliest please help
Answer:
I think it's a man's car breaks down while driving to work
Step-by-step explanation:
it should be B
Answer:
I believe it's d !!
Step-by-step explanation:
External Conflict: ... Man-the character is in conflict with another person in the story. Man vs. Society-the character faces conflict due to some type of societal norm that is in conflict with his/her beliefs or actions.
What is the circumference of the circle shown below, given that the length of
AB (the minor arc) is 4?
C
30,
A
A. 48
B. 40
C. 24
d
D. 12
someone pls help no links
Given:
Length of arc AB is 4 units.
The measure of central angle corresponding to arc AB is 30 degrees.
To find:
The circumference of the circle.
Solution:
The formula for arc length is:
[tex]s=2\pi r\dfrac{\theta }{360^\circ}[/tex]
Where, r is the radius and [tex]\theta[/tex] is the central angle.
It is also written as:
[tex]s=C\dfrac{\theta }{360^\circ}[/tex]
Where, C is the circumference of the circle.
Putting [tex]s=4,\theta =30^\circ[/tex] in the above formula, we get
[tex]4=C\dfrac{30^\circ}{360^\circ}[/tex]
[tex]4=\dfrac{1}{12}C[/tex]
Multiply both sides by 12.
[tex]4\times 12=C[/tex]
[tex]48=C[/tex]
The circumference of the circle is 48 units.
Therefore, the correct option is A.
whats the missing leg?
Answer:
Step-by-step explanation:
using pythagoras theorem
a^2+b^2=c^2
a^2+2^2=7^2
a^2+4=49
a^2=49-4
a^2=45
a=[tex]\sqrt{45}[/tex]
a=3[tex]\sqrt{5}[/tex]
a=6.7
HELP ASAP
A pair of equations is shown below:
y = 2x + 9
y = 4x − 3
Part A: Explain how you will solve the pair of equations by substitution or elimination. Show the first step you would use. (4 points) Write the solution. (2 points)
Part B: If the two equations are graphed, at what point will the lines representing the two equations intrsect? Explain your answer. (4 points)
Your answer:
Answer:
(6,21)
Step-by-step explanation:
Given that,
y = 2x + 9 .....(1)
y = 4x − 3 .....(2)
From equations (1) and (2),
2x + 9 = 4x − 3
Taking variables both sides and constants to another side.
9+3 = 4x-2x
12 = 2x
x = 6
Put the value of x in equation (1).
y = 2(6) + 9
y = 12 + 9
y = 21
The solution of the given equations is x = 6 and y = 21. If we graph them, they will intersect at (6,21).
A warehouse has a height of 8\frac{1}{2}8 2 1 meters, length of 120120 meters, and width of 20\frac{3}{10}20 10 3 meters
Answer:
10,353m³
Step-by-step explanation:
We can look for the volume of the warehouse since we are not told what to look for
Volume of the warehouse = length * width * height
Given
Length = 120m
Width = 20 3/10 = 203/20 m
Height = 8 1/2m = 17/2 m
Volume of the warehouse = 120 * 203/20 * 17/2
Volume of the warehouse = 6 * 203 * 17/2
Volume of the warehouse = 3 * 203 * 17
Volume of the warehouse = 10,353 cubic metres
Hence the volume of the warehouse is 10,353m³
PLEASE HELP ME
Find the surface area of this box. The length is 5 cm the width is 5 cm and the
height is 5 cm.
Answer:
150cm^2
Step-by-step explanation:
YALLL HELPP ME PLEASEE!!!!!!!!
Step-by-step explanation:
1. -5 not suree
2.50
my anwser could be wrong sooo...
8 less then the product of 7 and -3
Answer:
im not exactly sure what you mean but is it
8 < 4
sorry if this didn't help
Step-by-step explanation:
Answer:
-29
Step-by-step explanation:
7(-3) - 8 = -21 - 8 = -29
to make lemonade you used 1 quart of water 1 pint of lemon juice and 9 oz of your secret ingredient honey how much lemonade did you make in pints, cups, and ounces please help I need help this is due today please
Answer:
3.56 pints
7.125 cups
57 oz
Step-by-step explanation:
water = 1 quart = 32 oz
lemon juice = 1 pint = 16 oz
honey = 9 oz
lemonade = 32 + 16 + 9 = 57 oz
Now 16 oz = 1 pint
So, 57 oz = 3.56 pint
As, 1 cup = 8 oz
So, 57 oz = 7.125 cups
Find the fraction which is exactly halfway between 1/12 and 1/3
Answer:
2/12
Step-by-step explanation:
fraction 1 = 1/3
fraction 2 = 1/12
Half-way of both fraction = (1/3 + 1/12)/2 = 15/72 = 5/24
The second doughnut glazing machine can glare 78 dozen doughnuts in
2 hours
Based on this rate, what is the total number of hours it will take the second
machine tolar 135 doren doughnuts Show or explain how you got you
answer
Answer:
t = 3.46 hours, or 3 hours 28 minutes
Step-by-step explanation:
78 dozen donuts in 2 hours immediately reduces to 39 dozen/hour.
Donuts produced as a function of time: D(t), where t is the number of hours the macine runs.
Set D(t) = 135 dozen = (39 dozen/hr)t.
Solving this equation for t, we get:
t = 135/39 hours, or t = 3.46 hours, or 3 hours 28 minutes
Lesson 4: If - Else is covered in the video below. Click play on the first video to start the lesson. This lesson includes programming, so be sure to pause the videos to edit and write code in the programming environment when prompted.
Download the slides used in the videos below if you'd like to follow along.
Wait… what lesson? I am confused :/
The slope of a line is 2/3. What is the slope of a line that is perpendicular to this line?
3/2
-2/3
2/3
- 3/2
Answer:
-3/2
Step-by-step explanation:
Clare's volleyball game ended at 6:30 pm. It took 2 hours and 48 minutes to play the game. What time did Clare's volleyball game begin?
what is 6:30 subtracted by 2 hours and 48 minutes?
Answer:
3:42
Step-by-step explanation:
What is the A value in the quadratic: X^2+3x-2*
what is x to the 2nd power?
Answer:
x2 or x square
Step-by-step explanation:
hope it helps
Shanices school is selling Tickets to the annual talent show. On the first day of ticket sales the school sold 5 adult tickets and 8 child tickets for a total of $102. The school took in $39 on the second day by selling 2 adult tickets and 3 child tickets. Find the price of an adult ticket.
Answer:
Children tickets = $9
Adult tickets= $6
Ms. Potter bought x number of shirts for the new members of her chorus. The cost for x numbers of shirts, including $6.99 shipping, was $195.99. Each shirt costs $18.25. There was no sales tax on this purchase. Which equation could be used to find x?
Answer:
instead of finding x find an ps4
Step-by-step explanation:
like what
an amusement park has 350 people enter over 7 hours. what is the unit rate per hour?
Answer:
50
Step-by-step explanation:
to get the unit per hour, you have to divide the amout, which is 350, by the time, which is 7, and you get 50
y’all i’m stuck help me
======================================================
Explanation:
Think of 25 as 25/1 and 5 as 5/1
Choice E is really saying [tex]\frac{25}{1} \div \frac{5}{1}[/tex] which becomes [tex]\frac{25}{1} \times \frac{1}{5}[/tex]. Note the second fraction flips and we change to a multiplication sign.
------------
Or you could think of it like this:
[tex]25 \times \frac{1}{5} = \frac{25}{1} \times \frac{1}{5} = \frac{25*1}{1*5} = \frac{25}{5} = 25 \div 5[/tex]
to help see why the answer is E.
Answer:
E
Step-by-step explanation:
Solve for x solve for x solve for x
Answer:
10.2
Step-by-step explanation:
The sum of the three angles is 180, since they form a straight line
8x-15 + 58+ 3x+25 = 180
Combine like terms
11x +68 = 180
Subtract 68 from each side
11x+68-68= 180-68
11x =112
Divide by 11
11x/11 = 112/11
x = 10.181818181
x = 10.2
Given info:-In the given figure, points A,B and C are collinear or they are straight line. Where angle ABC , angle DBE and EBC are in formed of linear pair that mean they are 180. And here we are going to find out the value of X?
angle ABD+ angle DBE + angle EBC = 180° {Angles of a linear pair]
⇛(8x-15)°+(58)°+(3x+25)° = 180°
Remove all the brackets in LHS.
⇛8x° - 15° + 58° + 3x° + 25° = 180°
⇛11x° - 15° + 58° + 25° = 180°
⇛11x° - 15° +83° = 180°
⇛11x° + 68° = 180°
⇛11x° = 180° - 68°
⇛11x° = 112
Shift the number 11° from LHS to RHS.
⇛x = 112÷11 ⇛112/11 =
The value of x = 10.181818.. = 10.18 bar
Additional comment:
The interior angles on the same side to the transversal are supplementary.
also read similar questions: Select the statement that is missing from the proof below showing that vertical angles formed by intersecting lines are congruent. ∠ABD and ∠ABC form a linear p...
https://brainly.com/question/18385877?referrer
What is the equation of the line that passes through the point (-7, -7) and
has a slope of 1?
Answer:
[tex]y=x[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axisy and x stay as they are while m and b are replaced with numerical values1) Determine the slope (m)
[tex]y=mx+b[/tex]
We're given that the slope of the line is 1. Plug this into the above equation
[tex]y=1x+b\\y=x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=x+b[/tex]
Plug in the given point (-7,-7)
[tex]-7=-7+b[/tex]
Add 7 to both sides to isolate b
[tex]-7+7=-7+b+7\\0=b[/tex]
Therefore, the y-intercept is 0. Plug this back into [tex]y=x+b[/tex]
[tex]y=x+0\\y=x[/tex]
I hope this helps!
attracting geometry genius’s
Answer:
Step-by-step explanation:
take angle x as reference angle
using sin rule
sin x=opposite/hypotenuse
sin x=11/13
sin x=0.846
x=sin 57.8
x=57.8 degree
Simplify:2(2x+4y-y)
Answer is ?
Answer:
4x+6y
Step-by-step explanation:
distribute and add like terms
Answer:
[tex]4x + 6y[/tex]
Step-by-step explanation:
Collect like terms:
[tex]2(2x + 3y)[/tex]
Distribute 2 through the parentheses:
[tex]4x + 6y[/tex]
Therefore, the answer will be 4x + 6y.
6 $44 is shared between David, Jo and Mary in the ratio 2:3:5
How much does each receive?
Answer:
David=$8.8
Jo=$13.2
Mary=$22
Step-by-step explanation:
2+3+5=10
44/10=4.4
David=4.4x2=$8.8
Jo=4.4x3=$13.2
Mary=4.4x5=$22
8.8+13.2+22=44
what is 500+222+221 and
Answer:
943
Hope that this helps!
help grade 10 math,,,?????????????
Answer:
7 no =option B
8 no =option
9 no=option D
10 no=option c
Step-by-step explanation:
The measure angle of 92°. What is the measure of its supplementary angle
Answer:
180-92= 88 degree
Step-by-step explanation:
180-92= 88 degree
Answer:
Supplementary angles are two angles whose sum is 180°.
92+x= 180
x= 180-92
x= 88
easy algebra question below first correct answer gets brainliest