Which graph represents the parametric equations x = t^2 + 2t and y = –t, where –4 ≤ t ≤ 1?
Answers
Answer:
We have:
x = t^2 + 2*t
y = -t
where:
–4 ≤ t ≤ 1
Isolating t in the "y" equation, we get:
t = -y
Now we can use the limits of t, to find similar limits for y.
When t = -4
-4 = -y
4 = y
when t = 1
1 = -y
-1 = y
Then the limits for y are:
-1 < y < 4
Now, knowing that t = -y
we can replace that in the "x" equation:
x = t^2 + 2*t
x = (-y)^2 + 2*(-y)
x = y^2 - 2*y
Then the graph of the parametric equation is the one defined by:
x = y^2 - 2*y
in the range
-1 < y < 4
The graph of this can be seen below, where the two black dots are the points where the graph should start/end.
The graph that represents the parametric equations is a parabola with an axis of symmetry is parallel to the x-axis.
An approach to determine the possible graph consists in eliminating [tex]t[/tex] and simplify the resulting expression of the form [tex]f(x)[/tex]:
[tex]x = t^{2}+2\cdot t[/tex] (1)
[tex]y = -t[/tex] (2)
By (2):
[tex]t = -y[/tex]
(2) in (1):
[tex]x = (-y)^{2} + 2\cdot (-y)[/tex]
[tex]x = y^{2}-2\cdot y[/tex]
In a nutshell, the graph that represents the parametric equations is a parabola with an axis of symmetry is parallel to the x-axis.
To learn more on parametric equations, we kindly invite to check this verified question: https://brainly.com/question/9056657
Related Questions
a circle is graphed on a coordinate grid and tgen reflected across the y-axis. if the center of the original circle was located at (x,y). which ordered pair represents the center of the new circle after the transformation
Answers
Answer:
The new center is the point (-x, y)
Step-by-step explanation:
When you reflect a point across the y-axis, the x-coordinate changes to its opposite (additive inverse).
See the attached image for an example.
The circle on the right has center (3, 1). When reflected across the y-axis, the reflected center is (-3, 1).
Please help me out whoever helps I will mark branliest
Answers
Answer:
i'm not too sure myself how to answer the problem.. but that is a translation.. A translation is just moving the shape with really changing its form or anything, just its placement
please help im very confused
Answers
Answer:
option D : 130°
Step-by-step explanation:
m∠2 = m∠7 = 130° , (corresponding angles)
what's the value of x and y?
Answers
Answer:
x = 45 and y = 90
Step-by-step explanation:
Let the third angle be z
z = 180 - 135 (Linear Pair)
z = 45
Since its an iscosceles triangle,
<z = <x (angles opposite to equal sides have equal angles)
<x = 45 degree
<z + <x + <y = 180
45 + 45+ <y = 180
90 + <y = 180
<y = 180 - 90
<y = 90
Therefore x = 45 and y = 90
Hope u understood please mark as brainliest
Thank You
Answer:
x= 45°
y= 90°
Step-by-step explanation:
x= angles on a straight line add up to 180°. 180°-135° = x.
y= x+y=135° & x =45°
135°- 45° = y
What do cos and sin mean?
Answers
Answer and Step-by-step explanation:
These two terms (pronounced as Sine and Cosine) are used to solve for the sides and angles of a triangle in Trigonometry.
They are functions revealing the shape of a right triangle.
Sine is a trigonometric function of an angle. The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle, to the length of the longest side of the triangle.
Cosine is also a trigonometric function of an angle. The cosine of an angle is the relation of the length of the side that is adjacent that angle, to the length of the longest side of the triangle.
#teamtrees #PAW (Plant And Water)
The following set of coordinates represents which figure?
(7, 10), (4, 7), (6, 5), (9, 8)
Answers
Answer:
yufglufgkhjtshjskjhlesglezgzeghllghjr4aeklbxjhihGHIUYGUYG
Step-by-step explanation:
A game company gave each customer one game to test and asked whether he or she would recommend the game. What is the probability that a customer who would recommend his or her game tested Game A?
Answers
Answer:
1/2 = 0.5
Step-by-step explanation:
Given that the game company gave each customer a single game for testing
There is definitely just two outcomes, i.e. the customer will either recommend the game or Not recommend the game.
since we do not have additional information regarding what might influence the decision of the customer, hence the probability of either recommending the tested game or not recommending the game will be equal
∴P ( recommending tested game ) = 1 - 0.5 = 0.5
A random sample of 18 adults, chosen from the 1500 adults in the town, took a survey asking their opinion on a recent property tax change. 25% of those who responded said they were in favor of the change. The company running the survey wants to construct a confidence interval estimating the proportion of all adults in the town who support the change. Which of the conditions for inference have been satisfied?
Answers
Answer: Random condition
10% condition
Step-by-step explanation:
The conditions for inference that have been satisfied will be:
• Random condition: This has been satisfied since a random sample of 18 adults were taken from 1500 adults.
• 10% condition: Since 25% of those who responded said they were in favor of the change, then the 10% condition is satisfied.
Luke randomly selects 25 students from his school and asks each of them how many minutes they read each night to find out how much, on average, students at his school read. This represents which type of data collection
Answers
Answer:
Simple random sampling
Step-by-step explanation:
Luke wants to study average minutes students read each night. For that matter, he has selected a 'sample' of 25 students from entire 'population' of students in school.
He has selected the sample students randomly, for collecting data related to minutes of study each night. He also collects data from them directly ie with primary contact with them.
So, primary data collection, simple random sampling - has been used as a type of data collection.
5x/6-x/3+1 =8/9
Find the LCD that would eliminate the fractions
Answers
Answer:
answer is in the picture
Karen can make 14 cakes in 6 hours. how many cakes can she make in 15 hours?
Answers
Answer: 35 cupcakes!
Step-by-step explanation:
Yh Helllpppp I will give brainliest!
Answers
Step-by-step explanation:
TSA = 3543.72 hope its helpfull
How many distinct triangles can be drawn by using three of the seven dots below? (Two
triangles are considered different if they don’t share the same three vertices.)
Answers
Answer:
With 3 dots, you can only draw 1 triangle.
Step-by-step explanation:
All Triangles must have 3 sides, and 3 angles.
Note:
Pls, brainliest.
Thank you!
Give the trigonometric ratio as a fraction:
Tan Z
X
24
26
Y
10
z
Answers
Answer:
your answer is B
Step-by-step explanation:
Answer:
24/ 10
Step-by-step explanation:
We know,
tan θ = opposite/adjacent
∴ tan Z = 24/ 10
Need help on this ASAP
Answers
Answer:
its attatched
d1=3.5in;d2=18in.
what is the area of the rhombus
Answers
Answer:
Area = 31.5 squared inches
Step-by-step explanation:
I am assuming d1 and d2 diagnol lengths, so if that's true, then answer would A=(d1*d2)/2 (3.5*18)/2 = 63/2 = 31.5 squared inches
Ali bought 20 dozen oranges 10% of them were rotten. How many oranges were good ?
Answers
Answer:
Step-by-step explanation:
rotten oranges=10/100*20
200/100
2 dozen
good oranges=total dozen-rotten oranges
20-2
18 d0zen were good oranges.
Which question is a statistical question?
A. How tall is the oak tree?
B. How much did the tree grow in one year?
C. What are the heights of the oak trees in the schoolyard?
D. What is the difference in height between the oak tree and the pine tree?
Answers
What is the answer? {y=2x−6 y=5x−21
Answers
Answer:
x=5, y=4. (5, 4).
Step-by-step explanation:
y=2x-6
y=5x-21
--------------
2x-6=5x-21
2x-5x-6=-21
-3x-6=-21
-3x=-21+6
-3x=-15
3x=15
x=15/3
x=5
y=2(5)-6
y=10-6
y=4
Divide. Reduce your answer to lowest terms.
5 and 5/7 divided by -5
Answers
Answer:
-1 and 1/7
Step-by-step explanation:
one way
5 and 5/7 = ((5*7)+5) / 7 = 40/7
(40/7 ) / -5 = (40/7) * (-1/5) = -40/35 = -1 and 5/35 = -1 and 1/7
another way
(5 and 5/7) / -5 = 5/-5 and (5/7) * (1/5) = -1 and 1/7
Zahra reads 45 words per minute. at this rate. how many minutes will it take for her to read 180 words
Answers
Answer:
4 minutes
Step-by-step explanation:
I will use ratios for this equation:
[tex]\frac{1}{45} =\frac{x}{180} \\\\45x=180\\x=4[/tex]
It will take Zahra 4 minutes to read 180 words because she reads 45 words PER minute.
please help me out with this equation!
i will mark you as brainliest
Answers
Answer: Choice B
vertex = (3, -4)y intercept = (0, 5)x intercepts = (1, 0) and (5, 0)axis of symmetry: x = 3========================================================
Explanation:
The vertex is the lowest point for parabolas that open upward like this. The lowest point is (3, -4). If the parabola is flipped upside down, then the vertex would be the highest point.
--------
The y intercept is where the graph crosses the y axis. For any function, it will have at most one y intercept (some don't have any at all but the most you can have is 1 y intercept). The graph crosses the vertical y axis at (0,5). We can say in short "the y intercept is 5". The y intercept always occurs when x = 0.
--------
On the flip side, the x intercept always occurs when y = 0. This is where the graph crosses or touches the x axis. We have two such locations of (1,0) and (5,0). In short, we could say "the x intercepts are 1 and 5". The term "root" is another word we could use in place for "x intercept". Unlike the y intercept, we can have as many x intercepts as we want.
--------
The axis of symmetry is the vertical line through the parabola. It is the x coordinate of the vertex. So it's not a coincidence that the vertex is at (3,-4) and the axis of symmetry is x = 3, with those '3's repeated twice.
Sara
says that 7.09 is equivalent to 7 9/10. Do you agree? EXPLAIN
Answers
Answer:
I don't know lol
Step-by-step explanation:
I feel like I know but I can't put my finger on it \\
Screen Shot 2021-05-25 at 9.56.13 AM
Answers
Answer:
where is the question
have a good day :)
Step-by-step explanation:
or maybe a picture, i don’t see anything.
Solve the equation d divided by 1.2 is equal to 6 PLS HELPP
Answers
Answer:
The answer is 7.2.
Step-by-step explanation:
Have a great day.
Answer:
d = 7.2
Step-by-step explanation:
all you have to do is multiply 1.2 by 6 to get your answer
[tex]1.2 \times 6 = 7.2[/tex]
My bill at the hair salon came to $110. If I tip my stylist 20% what will the total bill be
Answers
Answer:
I think it would be 132
Step-by-step explanation:
20% of 110=22 (22+110)=132
Expand and combine like terms.
(4m^5) – 5m^6) (4m^5 + 5m^6) =
Answers
Answer:
[tex]16m^{10} -25m^{12}[/tex]
Step-by-step explanation:
hope this helps :)
The expand and combination like terms (4m^5) – 5m^6) (4m^5 + 5m^6) is -9m^12 + (16)m^10.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
The equation=(4m^5) – 5m^6) (4m^5 + 5m^6)
Now,
To expand the expression, we need to multiply each term inside the first parentheses by each term inside the second parentheses. This gives us:
(4m^5 - 5m^6) (4m^5 + 5m^6) = 4m^5 * 4m^5 + 4m^5 * 5m^6 - 5m^6 * 4m^5 - 5m^6 * 5m^6
To simplify the expression, we need to use the exponent rule that a^b * a^c = a^(b + c) and combine the terms that have the same base and exponent. This gives us:
4m^5 * 4m^5 + 4m^5 * 5m^6 - 5m^6 * 4m^5 - 5m^6 * 5m^6 = 16m^(5 + 5) + 20m^(5 + 6) - 20m^(6 + 5) - 25m^(6 + 6)
To further simplify the expression, we need to add the exponents and simplify the coefficients. This gives us:
16m^(5 + 5) + 20m^(5 + 6) - 20m^(6 + 5) - 25m^(6 + 6) = 16m^10 + 20m^11 - 20m^11 - 25m^12
To combine like terms, we need to add or subtract the coefficients of the terms that have the same base and exponent. This gives us:
16m^10 + 20m^11 - 20m^11 - 25m^12 = (16 - 25)m^12 + (20 - 20)m^11 + (16)m^10
= -9m^12 + (0)m^11 + (16)m^10
= -9m^12 + (16)m^10
Therefore, the equation will be equal to -9m^12 + (16)m^10.
Learn more about equations here;
https://brainly.com/question/25180086
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how do I make a box plot
Answers
Answer:
To construct a box plot, use a horizontal or vertical number line and a rectangular box. The smallest and largest data values label the endpoints of the axis. The first quartile marks one end of the box and the third quartile marks the other end of the box
Answer:
this may help
Step-by-step explanation:
A box plot is constructed from five values: the minimum value, the first quartile, the median, the third quartile, and the maximum value. We use these values to compare how close other data values are to them. To construct a box plot, use a horizontal or vertical number line and a rectangular box.
PLS HELP!!!
Using the Pythagorean theorem if necessary please round your answer to the nearest 10th
1. a=7 and b=10 find C the missing side length
2. b=12 and c=13 find A the missing side length
3. A=4 and b=10 find C the missing side length
Answers
3. Three resistors with values of 3 Ω, 4 Ω and 5 Ω are connected to a 12 V battery.
a. Draw the circuit.
b. Calculate the equivalent resistance of the circuit.
c. Calculate the current through the battery.
d. How much current is passing through each resistor?
e. Calculate the voltage drop across each resistor.
f. How does the voltage drop across each resistor compare to the voltage of the battery?
4. Three resistors with values of 12 Ω, 24 Ω and 6 Ω are connected in series to one another and a 24 V power supply. Draw the circuit and fill in the data table.
Answers
Answer:
I think it's 4
Step-by-step explanation:
Three resistors with values of 12 Ω, 24 Ω and 6 Ω are connected in series to one another and a 24 V power supply. Draw the circuit and fill in the data table.