Answers
Answer:
[tex]\left \{ {{x=2+3\cos t} \atop {y\:=-1+3\sin t}} \right. => \pi \leq t \leq 5\pi[/tex]
Step-by-step explanation:
The standard equation of a circle centered at (a,b) with radius r would be (x - a)^2 + (y - a)^2 = r^2
This example represents a circle with center (2, - 1) having a radius of 3
The parametric equation of a circle centered at (0,0) would be;
x = r cos t,
y = r sin t
And so when centered at (a, b) we would have;
x = a + r cos t,
y = b + r sin t
In this case x = 2 + 3 cos t, and y = - 1 + 3 cos t
Now if the particle starts at (-1, - 1), correspondent to a start parameter of t = π, we need two revolutions so it should be that t = π + 2 * 2π = 5π.
[tex]\left \{ {{x=2+3\cos t} \atop {y\:=-1+3\sin t}} \right. => \pi \leq t \leq 5\pi[/tex]
Related Questions
What is a 20% tip on a $30 meal
Answers
Have an amazing day!
The table shows expressions to represent the number of students involved in different activities. The number of students involved in sports and student council is equal to the number of students involved in band and drama club. Model the situation with an equation. Select the correct expression for each box. Then solve the equation.
Answers
Answer:
6n + 7 = 7n
Step-by-step explanation:
Number of students involved in sports = 5n + 7
Number of students involved in student council = n
Number of students involved in sports and student council = (5n + 7) + n = 5n + 7 + n = 6n + 7
Number of students involved in band = 3n - 2
Number of students involved in drama club = 2(2n + 1)
Number of students involved in band and drama club = (3n - 2) + 2(2n + 1) = 3n - 2 + 4n + 2 = 7n
Equation to model number of students involved in sports and student council which equal number of students involved in band and drama club:
6n + 7 = 7n
Will Give brainliest plus 25 points
Answers
Kelly is making homemade trail mix. She mixed together 1 1/4 pounds of peanuts, 2/5 pounds of chocolate candies, and 3/20 pounds of dried fruit. how many total pounds there’s a trail mix away? (Simplify your answer and state it as a mixed number)
Answers
Answer:
1 4/5
Step-by-step explanation:
1 1/4+2/5=1 13/20
1 13/20+3/20= 1 6/20
simplified down to 1 4/5
6 eggs weigh 3/4 of a pound. How much does each egg weigh?
Answers
9514 1404 393
Answer:
1/8 lb or 2 oz
Step-by-step explanation:
You find the weight per egg by dividing the weight by the number of eggs:
(3/4 lb)/(6 eggs) = 3/24 lb/egg = 1/8 lb/egg
A pound is 16 ounces, so 1/8 lb is 2 oz.
Each egg weighs 1/8 lb or 2 oz.
g precalc Linda works 30 hours per week between two part-time jobs: When she works as a waitress she receives $11.75 per hour and when she works as a math tutor she received $ 17.5 0 per hour. Since she has only 30 hours each week that she can work, the more hours she spends at one job, the fewer number of hours she can work at the second job. If Linda worked a total of 30 hours last week and she worked 9 of these hours as a waitress, how much money did she make last week working at both jobs
Answers
Answer:
She made $105.75 working as a waitress
She made $367.50 working as a maths tutor
Step-by-step explanation:
Linda worked a total of 30 hours last week and she worked 9 of these hours as a waitress.
Hence, the number of hours worked as a maths tutor =
30 - 9
= 21 hours
When she works as a waitress she receives $11.75 per hour
Hence, $11.75 × 9 hours
= $105.75
Hence, she made $105.75 working as a waitress
When she works as a math tutor she received $ 17.50 per hour.
$17.50 × 21 hours
$367.50
Hence, she made $367.50 working as a waitress
Simplify by dividing 3/5 divide by (-4/9).
Answers
Answer:
a)-27/20
Step-by-step explanation:
3/5 ÷ (-4/9)
3/5 × (-9/4)
-27/20
Hope it will help
Does anyone know the answer for this please?
Answers
Your teacher didn't put any xy axis on this grid. But I'm assuming that the vectors are coming from the origin (0,0)
If that is the case, then vector v = (-2,4) and vector u = (2,1)
Add the corresponding coordinates to get
v+u = (-2,4)+(2,1) = (-2+2,1+4) = (0,5)
The answer is therefore choice BThe general rule for adding vectors is
if u = (a,b) and v = (c,d), then u+v = (a+c, b+d)
[tex](x - 2) { }^{2} = 0[/tex]
How many solutions does this equation have?
Answers
find all missing angles in the diagrams below, please help
Answers
Answer:
x = 80,
y = 80
Step-by-step explanation:
This is difficult to explain, so here are the theorems used
two lines parallel, with a transversal; alternate interior angles,
verticle angles theorem,
parts - whole postulate,
verticle angles theorem,
parts- whole postulate,
sum angles in a triangle,
supplementary angle, definition straight angle,
parts- whole postulate,
there are many other ways to reach the answer, I just whent this way.
Answer:
x= 80°, y= 100°
Step-by-step explanation:
Please see the attached picture for the full solution.
In this set of chips, each plain chip has a
value of -1, and each striped chip has a value of 1. What is the value of the set?
Answers
Answer:
-1x + y
Where x = number of plain chips and y = number of striped chips.
Step-by-step explanation:
NOTE: if an image was giving with this question please attach the image to get a more simplified answer.
Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24a2 – 18 square units. Which is an equivalent expression for the area of the hexagon based on the area of a triangle?
6(4a2 – 3)
6(8a2 – 9)
6a(12a – 9)
6a(18a – 12)
Answers
you would factor out just the 6 because the 18 doesn’t a a term with it like 34a2 does. then just divide normally to get ur answer 6(4a2 - 3)
a scuba diver 9 1/2 feet below sea level viewing some tropical fish. she descends [swims downward] 10 1/2 feet to get closer look at a manta ray swimming on the sea bottom.
Answers
Answer:
Step-by-step explanation:
Answer:
it that going to come on cxc
evaluate y 9-(-9) =?
Answers
Answer: 18
Step-by-step explanation:
when there is a in front of an expression in parentheses change the sign of each term in the expression. 9+9=18 so ANSWER 18
20 points help please <333.
Answers
Answer:
Step-by-step explanation:
What you need to do is look at the chart and see how much it is for one of those, multiply it by the number of how many you need, add up how much money it will cost him, and how much money he needs.
Can some pleaseeee help me here I don’t really understand (I’ll give a brainliest to the one that’s right :) ITS DUE TODAY
Answers
Answer:
You would use > and <, if the first number is greater than the other, you would use >, and vice versa. For the others, you would write the numbers in the order stated, for example, 0, 5, and -7 would be written as -7, 0, 5, -7 being the smallest number, and 5 being the biggest number. Hope this helps.
Answer:
1: <
2: >
3: <
4: <
5: >
6: >
7: _-7_0_5_
8: _-10_3_10_
10: _-1/2_-8_0_1/2
There are the answers, the only one im not sure about is 10
Write the equation of the line with a slope of 3/4 and a y-intercept of -7 in slope - intercept and point -slope form.
Answers
slope intercept:
y=3/4x-7
point slope form:
I used the y intercept (0,-7) as a point to plug into point slope form.
y+7=3/4(x-0)
The linear equation of the line is y = 3/4x - 7 and y + 7 = 3/4(x - 0)
How to determine the line equation?The slope is given as:
m = 3/4
The y-intercept is given as:
c = -7
A linear equation in slope intercept form is represented as:
y = mx + c
So, we have:
y = 3/4x - 7
The equation in point slope form is calculated as follows:
y = 3/4x - 7
Add 7 to both sides
y + 7 = 3/4x
Express 3/4x as 3/4(x)
y + 7 = 3/4(x)
Subtract 0 from x
y + 7 = 3/4(x - 0)
Hence, the linear equation of the line is y = 3/4x - 7 and y + 7 = 3/4(x - 0)
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Vhat is the equation of the line that is parallel to the
given line and passes through the point (2, 3)?
O x + 2y = 4
O x + 2y = 8
O 2x + y = 4
O 2x + y = 8
Answers
Step-by-step explanation:
second one because
only x+2y=8 passes through the point (2,3)
the proof is 2+2*3=2+6=8
if we replace the given point to the other equations we will take wrong results for example
first equation
x+2y=4. 2+2*3=2+6=8 that is not equal to 4
Slopes of lines which are parallel to each other is same. The equation of the line which is parallel to y = mx + c and passes through (2,3) point is y = m(x-2) + 3
How are parallel straight lines related?Parallel lines have same slope, since slope is like measure of steepness and since parallel lines are of same steepness, thus, are of same slope.
In the line of the form [tex]y = mx + c[/tex], the coefficient of x, which is 'm' here, is the slope of the line [tex]y = mx + c[/tex]
Suppose that the given line be:
[tex]y = mx + c[/tex]
(we assume this, because the question is a bit incomplete as the initial line isn't given)
And we've to find the equation of a line which is parallel to the line given above, and passes through (2,3).
Suppose it be:
[tex]y = mx + b[/tex] (as the slope of parallel lines would be same).
This line passes through (2,3), so the equation must be true for (x,y) = (2,3).
Putting it, we get:
[tex]y = mx + b\\3 = m(2) + b\\3 - 2m = b[/tex]
Thus, the equation of this line is:
[tex]y = mx + b \\y = mx + (3-2m)\\y = m(x-2) + 3[/tex]
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For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 56 N acts on a certain object, the acceleration of the object is 7 m/s2. If the acceleration of the object becomes , what is the force?
Answers
Force=mass x acceleration
56= mass x 7
Mass= 56/7 = 8
PLEASEEEE HELP ME RIGHT NOW
Answers
What is the domain of the following relation: Is this relation a function? Why or
why not?
R: {(1, 2), (2, 2), (-1, -2), (-3, 4)}?
Answers
Answer:
- domains: { 1,2,-1,-3 }
- it is a function
Step-by-step explanation:
it is a function Since there is one value of y for every value of x in the relation.
mark me as brainlest and ill mark you!!
Answers
Answer:
Bru-
Is this a question?
Step-by-step explanation:
Points A’, B', and ' are the images of 180-degree rotations of A, B, and C, respectively, around point 0.
MB
C'
А
A
799
35°
0
С
B
Answer each question and explain your reasoning without measuring segments or angles.
1.
Name a segment whose length is the same as segment AO.
2.
What is the measure of angle A'OB'?
Answers
Answer:
otation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k). Find the co-ordinates of the points obtained on rotating the points given below through 180° about the origin.(i) A (3, 5)
(ii) B (-2, 7)
(iii) C (-5, -8)
(iv) D (9, -4)
Solution:
When rotated through 180° anticlockwise or clockwise about the origin, the new position of the above points is.
(i) The new position of the point A (3, 5) will be A' (-3, -5) ii) The new position of the point B (-2, 7) will be B' (2, -7) (iii) The new position of the point C (-5, -8) will be C' (5, 8)
(iv) The new position of the point D (9, -4) will be D' (-9, 4)
2. Plot the point M (-1, 4) on the graph paper and rotate it through 180° in the anticlockwise direction about the origin O. Find the new position of M.
Solution:
180 Degree Rotation
0Save
When rotated through 180° in the anticlockwise direction about the origin O, then M (-1, 4) → M'' (1, -4).
3. Draw a line segment joining the point P (-3, 1) and Q (2, 3) on the graph paper and rotate it through 180° about the origin in anticlockwise direction.
Solution:
180 Degree Rotation about the Origin
0Save
On plotting the points P (-3, 1) and Q (2, 3) on the graph paper to get the line segment PQ.
Now rotate PQ through 180° about the origin O in anticlockwise direction, the new position of points P and Q is:
P (-3, 1) → P' (3, -1)
Q (2, 3) → Q' (-2, -3)
Thus, the new position of line segment PQ is P'Q'.
Step-by-step explanation:
If f(–2) = 0, what are all the factors of the function f(x)=x3-2x2-68x-120 ? Use the Remainder Theorem.
Answers
Answer:
it would be option C) (x – 10)(x + 2)(x + 6)
Step-by-step explanation:
You have to divide x^3 -2x^2 -68x -120 by x + 2 to get x^2 - 4x -60 and then factor
The factors of the function are (x + 2)(x - 10)(x + 6).
What is a polynomial?Any expression which is formed by using constants, variables, and exponents is polynomial, it is solved with the help of mathematical operators. Polynomial is made by the parts "poly" and "nominal" here "poly" means many and "nomial" means terms.
Given f(-2) = 0
f(x) = x³ - 2x² - 68x - 120 .........(1)
one factor of function is x + 2
divide the function by x + 2
multiply x² by x +2
x²(x + 2) = x³ + 2x²
subtract the term from equation 1 we get,
x³ - 2x² - 68x - 120 - x³ - 2x²
= -4x² - 68x -120 ......(2)
now multiply -4x by x + 2
-4x(x + 2) = -4x² - 8x
subtract the term from equation 2 we get
-4x² - 68x -120 - (-4x² - 8x)
-60x - 120 ........(3)
again multiply -60 by (x + 2)
-60(x + 2) = -60x - 120
subtract from equation 3
-60x - 120 - (-60x - 120) = 0
The quotient we get from the division is,
x² - 4x - 60
here are the factors of x² - 4x - 60 = (x - 10)(x + 6)
Hence, the factors of polynomials are (x + 2)(x - 10)(x + 6).
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7th grade math help me plzzz
Answers
Answer:
1. 3>-3
2. 12<24
3. -12>-24
4. 5=-(-5)
5. 7.2>7
6. -7.2<-7
7. -1.5=-3/2
8. -4/5>-5/4
9. -3/5=-6/10
10. -2/3<1/3
Step-by-step explanation:
A recent article in the paper claims that business ethics are at an all-time low. Reporting on a recent sample, the paper claims that 31% of all employees believe their company president possesses low ethical standards. Suppose 20 of a company's employees are randomly and independently sampled and asked if they believe their company president has low ethical standards and their years of experience at the company. Could the probability distribution for the number of years of experience be modelled by a binomial probability distribution?
Answers
Answer:
Explained below.
Step-by-step explanation:
A Binomial experiment has the following properties:
There are a fixed number of trials (n). Each trial are independent of the others. Each trial has only two outcomes: Success and Failure Each trial has the same probability of success (p).If a random variable X is used in an experiment and the experiment has all the above mentioned properties, then the random variable X is known as a binomial random variable.
The number of employees selected is, n = 20.
Every employees response is independent of the others.
Each employees response is either: Yes or No.
The probability of an employee responding as "yes" is, p = 0.31.
Thus, the experiment being performed is a binomial experiment.
So, the probability distribution for the number of employees believing their company president has low ethical standards can be modelled by a binomial probability distribution.
But the number of years of experience cannot be modelled by a binomial probability distribution. Because every employee will have different answer for this question.
Someone please help!!!!!!!!!
Answers
Answer:
-32
Step-by-step explanation:
Simply input the x and y values.
New equation:
| 147-(-9) | /(-4) +7
Step one:
147-(-9) = 156
Step two:
|156|/-4 =-39
Step three:
-39+7 =-32
If you evaluate the expression it comes out to -32
solve: 1/3-m/2+m/6+7/9
Answers
Answer: −1 /3 m+ 10 /9
Step-by-step explanation:
A flywheel is attached to a crankshaft by 12 bolts, numbered 1 through 12. Each bolt is checked to determine whether it is torqued correctly. Let A be the event that all the bolts are torqued correctly, let B be the event that the #3 bolt is not torqued correctly, let C be the event that exactly one bolt is not torqued correctly, and let D be the event that bolts #5 and #8 are torqued correctly. State whether each of the following pairs of events is mutually exclusive.a. A and Bb. B and Dc. C and Dd. B and C
Answers
Answer:
a
Mutually exclusive
b
Not Mutually exclusive
c
Not Mutually exclusive
d
Not Mutually exclusive
Step-by-step explanation:
From the question we are told that
The number of bolt is n = 12
The event that all the bolt are torqued correctly is A
The event that the 3rd bolt is not torqued correctly is B
The event that exactly one bolt is not torqued correctly is C
The event that the [tex]4^{th}[/tex] and [tex]8^{th}[/tex] are torqued correctly is D
Generally for an event to be mutually exclusive it means that both event can not occur at the same time
Considering a
The A and B are mutually exclusive because they can not occur at the same time
Considering b
The event B and D are not mutually exclusive because they can occur at the same time
Considering c
Event C and D are not mutually exclusive because they can occur at the same time
Considering d
Event B and C are not mutually exclusive because they can occur at the same time
Write the following equation in slope intercept form:
y + 9 = 3(x - 1)
Answers
Distribute 3 to (x-1), 3x-3
y+9=3x-3
Subtract 9 on both sides
y=3x-12( the answer)
The slope intercept form of the given equation y + 9 = 3(x - 1) is
y =3x-12 .
What is slope intercept form ?
The slope intercept is a form of two variable linear equation in x, y is given by
y = m x + c
y is y coordinate, x is x coordinate , m is called slope , c is y intercept
For the given equation
y + 9 = 3(x - 1)
⇒ y + 9 = 3x -3
Subtracting 9 from both sides of this equation, we get
⇒ y+9-9 = 3x-3-9
⇒ y = 3x - 12
This is the slope intercept form with m = 3 and c = -12
Therefore , the slope intercept form of the equation y + 9 = 3(x - 1) is
y =3x-12
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