Answer:
4/2
Step-by-step explanation:
Identify the center and radius of the circle with the following equation: [tex]x^2+y^2+4x+8y+11=0[/tex]
Hey there,
Put the equation into the circle equation [ (x - h)² + (y - k)² = r² ].
x² + y² + 4x + 8y = -11
(x² + 4x) + (y² + 8y) = -11
(x + 2)² + (y + 4)² = 9
If that is confusing, you can always rewrite it to show exactly what you need in the circle equation.
(x - (-2))² + (y - (-4))² = 3²
Therefore, using the circle equation we can see that the center is at the point (-2, -4) and the radius is 3.
Best of Luck!
Answer:
[tex] \displaystyle \text{centre} :( - 2, - 4)[/tex]
[tex] \text{redius} : 3[/tex]
Step-by-step explanation:
we are given a circle equation
[tex] \rm \displaystyle {x}^{2} + {y}^{2} + 4x + 8y + 11 = 0[/tex]
we want to figure out the centre and the redious of the circle from the equation notice that the given circle equation is in general form given by
[tex] \rm \displaystyle {x}^{2} + {y}^{2} +A x +B y +C = 0[/tex]
general form of circle equation is a simplified version of standard form. the standard form of circle equation is given by:
[tex] \displaystyle (x - h {)}^{2} + (x - k {)}^{2} = {r}^{2} [/tex]
where:
(h,k) is the centrer is the rediousnotice that the there're two completed squares in the standard form therefore we can consider completing square to figure out the centre and the redious
indentifying centre and redious:
rearrange:
[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) + 11 = 0[/tex]
cancel 11 from both sides:
[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) = - 11[/tex]
add 4 to the both sides so that the equality don't affect:
[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = -11 + 4[/tex]
simplify addition:
[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = - 7[/tex]
once again to complete the square add 16 to both sides which yields:
[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y + 16) = 9[/tex]
complete the squares by using (a+b)²=a²+2ab+b² pattern:
[tex] \rm \displaystyle ( {x}+ 2) ^{2} +( {y} + 4) ^{2} = 9[/tex]
we can still rewrite it to figure out the redious and the centre:
[tex] \rm \displaystyle ( {x} - ( - 2)) ^{2} +( {y} -( - 4) ) ^{2} = {3}^{2} [/tex]
therefore we obtain:
centre:(h,k)=(-2,-4)redious:r=3and we are done!
If the radius of a circle is 10cm, what will be the area of the circle?
Answer:
314
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
please help with this vocab will mark brainliest
Answer:
1. Semicircle
2. Arc Length
3. Minor arc
4. Arc Measure
5. Circumference
6. Diameter
7. Radius
Can someone help me please
Answer:
15
Step-by-step explanation:
Tuesdays interquartile range is 45, and monday's is 30. 45 - 30 = 15. Hope this helps!
If the value of y varies inversely with x , which function represents the relationship between x and y if y = 48 when x = 3?
A. Y= 144/x
B. Y= 16/x
C. Y= x/16
D. Y= x/144
Answer:
A. Y = 144/x
Step-by-step explanation:
Inversely means y = 1/x
If y = 48, when x = 3
so 144/3 = 48
Therefore the answer is A
If the value of y varies inversely with x then the function Y= 144/x represents the relationship between x and y if y = 48 when x = 3
What is a function?A relation is a function if it has only One y-value for each x-value.
If y varies inversely with x, it means that y is inversely proportional to x, or y=k/x, where k is a constant of proportionality.
To find k, we can use the given values of y and x:
y = k/x
48 = k/3
k = 144
Now that we know k, we can write the function that represents the relationship between x and y:
y = 144/x
Therefore, if the value of y varies inversely with x then the function Y= 144/x represents the relationship between x and y if y = 48 when x = 3
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ2
20 POINTSS PLEASE HELP
Answer:
14 units
Step-by-step explanation:
PLEASE HELP 15 POINTS
Find m RS
S
(6x-28)
(4x+ 20)
Answer:
arc RS = 116°
Step-by-step explanation:
Since the 2 chords are congruent then their minor arcs are congruent, that is
SR = TU, substitute values
6x - 28 = 4x + 20 ( subtract 4x from both sides )
2x - 28 = 20 ( add 28 to both sides )
2x = 48 ( divide both sides by 2 )
x = 24
Then
arc RS = 6x - 28 = 6(24) - 28 = 144 - 28 = 116°
which graph represents the solution to 7x < 21 or 6x -9 > 21
Answer:
There is no solution, though the lines are confirmed as dashed with the shaded area being on the outer sides.
Step-by-step explanation:
above
i need this done today whoever gets it correct gets brainliest!! PLZZZ HELPPP MEEE
Answer:
9x+6
Step-by-step explanation:
PLS HELP ME I DON'T HAVE A LOT OF TIME !!!
Answer:
d
Step-by-step explanation:
is 1 23/36 the same thing as 263/144 ? ill give brainiest :)
Answer:
no
Step-by-step explanation:
[tex]1\frac{2}{3}= 1.64\\263/144= 1.83[/tex]
what is the value of x?
x² + 8² = 10²
x² + 64 = 100
x² = 100 - 64
x² = 36
x = 6
How can you use transformations to solve problems?
Choose all that are correct
А
You can use translations to describe a change in the shape of a figure.
B
You can use reflections to describe a change in the size of a figure.
C.
You can use rotations to describe a change in the position of a figure.
Answer:
C, you can use rotations to describe a change in the position of a figure.
Eli makes a dozen cupcakes
he puts white frosting on 1/2 and chocolate frosting on the other 1/2
he puts sprinkles on 1/3 of the white frosted cupcakes and 1/2 of the chocolate frosted cupcakes
what fraction of the cupcakes have sprinkles?
Answer:
5/12 I think?? Hope this helps!
7x(15+5) plz help me solve this question by formula BODMAS
The brackets are first, then the multiplication
In a right triangle, the measures of the two smaller angles are (3x+6) and (2x - 1)º. Find the measure of the smallest
angle in the triangle.
A. 170
B. 33°
C. 570
D. 90°
Answer:
B is the answer
Step-by-step explanation:
Since there is already a 90 degree angle in the right triangle, the other two angles must add up to 90.
[tex]3x + 6 + 2x - 1 = 90[/tex]
[tex]5x + 5 = 90[/tex]
[tex]5x = 85[/tex]
[tex]x = 17[/tex]
Plug 17 into both to find the smaller angle
[tex]3(17) + 6 = 57[/tex]
[tex]2(17) - 1 = 33[/tex]
[tex]33 < 57[/tex]
So 33 is the answer or B
State the method that would be used to verify that the triangles are similar. Justify your answer.
Answer:
answer is 3
Step-by-step explanation:
add 5 minus 10
If the ratio of radii of two spheres is 4:7, find the ratio of their volumes.
Answer:
volume is equal to ratio
Answer:
This is your answer. If I'm right so,
Please mark me as brainliest. thanks!!!
what are the values of x and y?
help me plz: An employer is paying an employee a salary of $35,500 a year. The employer promised to increase his/her salary by 2,750 per year. What will be the employee's salary by year 8?
Answer:
401(k) plan
Step-by-step explanation:
The employee earns $45/hour, with his employer paying 1.5 times the regular rate of pay for overtime hours. To date, he has earned $130,050 during the present year. He has requested that his employer withhold 8% of gross pay, which is to be contributed to a 401(k) plan. Taxable income for federal income tax withholding = $
More angles? More Spain- without the S. Anyway here we go!
Help plzzzz for points 30 points
Answer:
B is the correct answer I believe..
Step-by-step explanation:
Answer: I strongly believe it is B
Step-by-step explanation:
A large box will hold 1,000 cubic inches. A small box measures 5 inches by 5 inches by 5 inches. How many smaller boxes will the large box hold?
Answer:
8
Step-by-step explanation:
Given data
Volume of large box= 1000cm^3
Dimension of small box
L=5cm
W=5cm
H=5cm
Volume of small box= 5^3
V=125cm^3
Hence the number of small box that can fill the large box is
=1000/125
=8
What is the constant rate of change between the two quantities
in the table? PLLSSS HELP PLSSSSSSS GIVING BRAINLIEST
Time (minutes) (x) 15 30 45 60
Number of Pages Read(y) 10 20 30 40
Answer: number of pages is going by 10. The number of minutes is multiplying 2 times.
Step-by-step explanation:
To find the COP use an in book resource or search it pretty simple
what is a simulation
A: the probability of two or more events happening at once
B: a model of a real-world situation that can be used to find probabilities
C: a probability based on expected results
D: a probability based on actual results from an experiment
Answer:
b
Step-by-step explanation:
its a simulation of the real work or place etc
A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus
$10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
b. What is the slope-intercept equation of the line that fits this information?
Answer: y = 10x + 30 is the correct answer
during the first part of a hike, Andre drank 1.5 liters of the water he brought. If this is 50% of the water he brought, how much water did he bring?
3 liters
6 liters
9 liters
12 liters
Answer:
50/100 x X = 1.5
x 100 x100
50x = 150
÷50 ÷50
X = 3
X = 3 liters I am pretty sure
You have a hemisphere with a volume of 6. What is the surface area with a sphere with the same diameter. Round to the nearest thousandth.
Answer:
(the volume of the hemisphere has no units, so i will suppose that it is 6m^3)
For a sphere of radius R, the volume is:
V = (4/3)*pi*R^3
Where pi = 3.14
And a hemisphere is half of a sphere, then the volume of a hemisphere of radius R is:
V = (1/2)*(4/3)*pi*R^3
We know that the volume of the hemisphere is 6 m^3, then we have the equation:
6 m^3 = (1/2)*(4/3)*3.14*R^3
Now we can solve this for R.
6 m^3 = 2.1*R^3
∛(6 m^3/2.1) = R = 1.41 m
The radius of the hemisphere is 1.41m
Now we want to find the surface of a sphere with this radius (if the radius is the same, then the diameter is the same)
For a sphere of radius R, the surface is:
S = 4*pi*R^2
Then the surface of this sphere is:
S = 4*3.14*(1.41 m)^2 = 24.971 m^2
g(x) = 4x + 3; Find g(10)
Answer:
43
Step-by-step explanation:
g(x)=4x+3
plug in 10
g(10)= 4(10)+3
= 40+3
= 43
Answer:
Sorry I just needed points
Step-by-step explanation:
Can someone please help me with math.
Answer:
A
Step-by-step explanation:
Hello There!
First thing we notice is that the y intercept is at (3,0) meaning that they have some sort of fee that has a charge of 3 dollars (represented by the 3)
Because the fee is 3 dollars we can immediately eliminate answers B and C
Now we want to find the charge for each bag of Potpourri (this can be represented by the slope)
Once again we want to choose two points on the line and plug it in into the slope formula
the points are optional but i have chosen the points (1,4.5) and (2,6)
*plug it into the slope formula*
[tex]slope=\frac{6-4.5}{2-1} \\6-4.5=1.5\\2-1=1\\slope =\frac{1.5}{1} or1.5[/tex]
so we can conclude that the charge per bag of potpourri is $1.50 leading us to answer choice A