The parameterization of the ellipse in a counterclockwise manner is x = 3cos(t) y = 2sin(t) where t varies from 0 to 2π.
One common way to parameterize an ellipse is to use trigonometric functions such as sine and cosine. We can write the equation of the ellipse as:
4x² + 9y² = 36
We can then use the following parameterization:
x = 3cos(t) y = 2sin(t)
where t is the parameter that varies between 0 and 2π, traversing the ellipse once in a counterclockwise manner.
To see why this parameterization works, let's substitute x and y into the equation of the ellipse:
4(3cos(t))² + 9(2sin(t))² = 36
Simplifying this equation gives:
36cos²(t) + 36sin²(t) = 36
Which is true for any value of t. This shows that our parameterization does indeed describe the ellipse 4x² + 9y² = 36.
Furthermore, we can see that when t=0, we get x=3 and y=0, which is the starting point (3,0). As t varies from 0 to 2π, x and y will trace out the ellipse exactly once in a counterclockwise manner.
Therefore, the parameterization of the ellipse 4x² + 9y² = 36 that begins at the point (3,0) and traverses once in a counterclockwise manner is:
x = 3cos(t) y = 2sin(t)
where t varies from 0 to 2π.
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solve for x,x(3+9)=72
Answer:
x(3+9)=72
or, x(12)=72
or, x=72÷12
or, x = 6 ans.
Answer: x=6
Step-by-step explanation:
Let's solve your equation step-by-step.
x(3+9)=72
Step 1: Simplify both sides of the equation.
12x=72
Step 2: Divide both sides by 12.
12x/12=72/12
x=6
Answer:
x=6
Se sabe q la suma de tres numeros es de 850. El primer es un tercio del segundo y el tercer número es el doble del segundo.¿Cuales son los numeros apollese en el esquema de barra para solucionar el problema?
Answer:
Primer número = x = 85
Segundo número = y = 255
Tercer número = z = 510
Step-by-step explanation:
Se sabe que la suma de tres números es 850. El primero es un tercio del segundo y el tercer número es el doble del segundo.
Representamos:
Primer número = x
Segundo número = y
Tercer número = z
Se sabe que la suma de tres números es 850.
x + y + z = 850 ...... Ecuación 1
El primero es un tercio del segundo
x = 1/3 años
El tercer número es el doble del segundo.
z = 2 años
Sustituimos 1 / 3y por x y 2y por z en la Ecuación 1
1 / 3y + y + 2y = 850
y / 3 + 3y = 850
Multiplica ambos lados por 3
y + 9y = 850 × 3
10 años = 2550
y = 2550/10
y = 255
Resolviendo para x
x = 1/3 años
x = 1/3 × 255
x = 85
z = 2 años
z = 2 × 255
z = 510
Por eso,
Primer número = x = 85
Segundo número = y = 255
Tercer número = z = 510
A recipe uses 3/8 cup of water and 2 cups of flour. Write the ratio of water to flour as described by the recipe. Then find the value of the ratio. PLEASE HELP
Answer:
2.29*20 = 45.80 and 3.49*35 = 122.15.
Step-by-step explanation:
Kimberly ran her first race in 3.15 hours. She ran her second race in 2.90 hours. Rounding each time to
the nearest hour, about how many hours did it take Kimberly to run both races?
Answer:
It took her approximately 6.1 hours to run both races.
Step-by-step explanation:
3.15 plus 2.9 equals 6.05, rounded to the tenths place is 6.1.
Albert mixes 10 grams of 15% sugar and 25 grams of 10% sugar syrup. How many grams of sugar does the mixture contain?
Answer:
4 grams
Step-by-step explanation:
Find how many grams of sugar are in each mixture:
10(0.15)
= 1.5
25(0.1)
= 2.5
Add these together:
1.5 + 2.5 = 4
So, the mixture contains 4 grams of sugar
Which expression represents the algebraic phrase "nine times a number plus thirteen"? 9 minus y + 13 9 + y minus 13 9y + 13 13y + 9
Answer:
dddddddddddddv
Step-by-step explanation:
What is the area of this?
Answer:
49 cm²
Step-by-step explanation:
2/16 2 + x = 12
what is the answer to this equation?
Answer:
nomelase pero será chida la imagen que tienes
is y = -x a proportional relationship
Answer:
For any proportional relationship, k=yx (such as a line that passes through the origin). Find the equation of the line by solving for y in the constant of proportionality equation. This equation y=kx is another representation of a proportional relationship.
Step-by-step explanation:
Answer:
Yes kdsjsbahajajsjsbsbsbsnsn
G(x)=-x-3, find g(1)
Answer:
G(1) = -2
Step-by-step explanation:
for G(1) replace x with 1
G(1)=1-3
subtract
1-3 = -2
so G(1) = -2
Solve 5x=45 using the opposite operation
Answer:
the answer is 8
Step-by-step explanation:
5 times 8 =45 5 time table
Answer:
9
Step-by-step explanation:
8x9=45
A 3-column table with 6 rows. Column 1 is labeled Number Rolled with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Observed Frequency with entries 10, 12, 10, 10, 8, 10. Column 3 is labeled Relative frequency with entries StartFraction 1 over 6 EndFraction, A, StartFraction 1 over 6 EndFraction, StartFraction 1 over 6 EndFraction, B, StartFraction 1 over 6 EndFraction.
A number cube is rolled 60 times. The results of those 60 trials are recorded in the table. Complete the table.
A =
B =
Answer:
A = 1/5
B = 2/15
brainlist plz byubnbhy
Step-by-step explanation:
Answer:
A = 1/5
B = 2/15
Step-by-step explanation:
sole this question ?
30÷5+(9×5)-3²=
Answer:
30÷5+(45)-96+45-942I do exams and quizzes if ur interestedAnswer:
42
Step-by-step explanation:
30/5 + ( 9)(5)−32
= 6 + ( 9)(5)−32
= 6 + 45−32
= 51 − 32
= 51 − 9
= 42
hope I helped!!
Explain the first steps to factoring when the leading coefficient is 1.
a) List the factors of a that add up to b.
b) Split the c term to factor by grouping.
c) Find the factors of c that add up to b.
d) Multiply b and c, then find the factors.
Answer:
In general, for a trinomial of the form x2+bx+c x 2 + b x + c you can factor a trinomial with leading coefficient 1 by finding two numbers, p and q whose product is c, and whose sum is b.
A number cube is numbered 1 through 6. What is the theoretical probablity of rolling an even number?
Solve. Use paper to show your work. Enter your answer in the box.
4\frac{5}{6}-2\frac{1}{2}=4
6
5
−2
2
1
=
4
4
Answer: illegel input- too many equals signs
Step-by-step explanation:
Someone please help!
Answer:
12 and 21
Step-by-step explanation:
simplify Cos(a+b) +Cos(a+b)
Rhian sat a maths test and an English test. in the maths test, she scored 14/17. in the English test, she scored 31/39. in which test did she do better
Answer:
She did better on the Math test.
Step-by-step explanation:
14/17 is 82 percent, and 31/19 is only about 80%.
Line segment JK has endpoints at J(-3,4) and K(3,6). Which is an equation of a line that is perpendicular to line segment JK and passes through the point (3,-12)
Answer:
y = -3x - 3.
Step-by-step explanation:
Find the slope of the line JK:
Slope = (6-4)/(3- (-3))
= 2 / 6
= 1/3.
Therefore the slope of the line perpendicular to it is - 1 / 1/3
= -3.
Now we use the point-slope form of a line to get the required equation:
y - y1 = m(x - x1)
Here m = -3 and (x1, y1) = (3, -12) so we have
y - (-12) = -3(x - 3)
y + 12 = -3x + 9
y = -3x + 9 - 12
y = -3x - 3 is the answer.
PLEASE IF U KNOW ANSWER HELP ME I NEED IT IN NEXT 10 MINUTES
Answer:
x + 2y - 3 = 0
Step-by-step explanation:
Coordinates of the points P and Q are (-3, 0) and (0, 6) respectively.
Slope of PQ = (0- 6)/(-3 - 0) = - 6/-3 = 2
Slope of line perpendicular to PQ = - 1/2
Since, required line passes through point R(7, - 2) and is perpendicular to PQ.
Therefore, equation of line in point slope form is given as:
[tex]y - (-2) = - \frac{1}{2} (x - 7) \\ \\ y + 2 = - \frac{1}{2} (x - 7) \\ \\2(y + 2) = - (x - 7) \\ \\ 2y + 4 = - x + 7 \\ \\ 2y + 4 + x - 7 = 0 \\ \\ x + 2y - 3 = 0[/tex]
Therefore x + 2y - 3 = 0 is the required equation of line.
Answer:
Answer:
x + 2y - 3 = 0
Step-by-step explanation:
Coordinates of the points P and Q are (-3, 0) and (0, 6) respectively.
Slope of PQ = (0- 6)/(-3 - 0) = - 6/-3 = 2
Slope of line perpendicular to PQ = - 1/2
Since, required line passes through point R(7, - 2) and is perpendicular to PQ.
Therefore, equation of line in point slope form is given as:
\begin{gathered}y - (-2) = - \frac{1}{2} (x - 7) \\ \\ y + 2 = - \frac{1}{2} (x - 7) \\ \\2(y + 2) = - (x - 7) \\ \\ 2y + 4 = - x + 7 \\ \\ 2y + 4 + x - 7 = 0 \\ \\ x + 2y - 3 = 0\end{gathered}
y−(−2)=−
2
1
(x−7)
y+2=−
2
1
(x−7)
2(y+2)=−(x−7)
2y+4=−x+7
2y+4+x−7=0
x+2y−3=0
Therefore x + 2y - 3 = 0 is the required equation of line.
hope it helps you
Larry's small business has $60,000 dollars in its account and makes automatic
monthly payments that total $12,000.
Answer:
nice flex
Step-by-step explanation:
Which of the following sets of side
lengths would not form a triangle?
A 29, 39, 69
B 29, 38, 49
C 29, 41, 19
D 29, 37, 10
Answer:
A
Step-by-step explanation:
Because 29+39=68
68<69
therefore this would not make a triangle!
Answer:
A.
Step-by-step explanation:
29 + 39 = 68 which is less than 69 so A is not a triangle.
Complete the equations so that the solution of the system of equations is (-3, 5)
can someone please help me, i have to turn this in soon.
Find the tangent of the larger acute angle in a right triangle with side lengths 3, 4, and 5. Write your answer as a fraction
Answer:
4/3
Step-by-step explanation:
The larger accute angle in a 3 4 5 right triangle will always be the angle in between 3 and 5. Tangent theta = opposite side ÷ adjacent side, so 4/3.
The tangent should be in fraction is [tex]4\div 3[/tex]
Calculation of the tangent:Since in a right triangle with side lengths 3, 4, and 5
Here there is the larger acute angle in the 3, 4 and 5 so it should be lies between 3 and 5
So, it should be like
= opposite side ÷ adjacent side
= [tex]4\div 3[/tex]
Hence, The tangent should be in fraction is [tex]4\div 3[/tex]
Learn more about fraction here: https://brainly.com/question/19107557
Identify these foil solutions by using the screenshots below!
Hope it helps and is correct!
Reasoning. A salesperson's commission rate is 6%. What is the commission from the sale of $35,000 worth of furnaces? Use pencil and paper. Suppose sales would double. What would be true about the commission? Explain without using any calculations.
Answer:2,100
Step-by-step explanation:
1.) 5n + 44/n, (n = 11)
Find the ULE in the triangle below
Where is the triangle?