Parametric Equations
1.
Anytown High School is planning a play. The script calls for two characters to meet on stage.
Lauren starts at the point (0 feet, 6 feet) and travels horizontally at a rate of 1 foot per second.
Alex starts at the point (4 feet, 0 feet) and travels vertically at a rate of 2 feet per second. If
Alex and Lauren start wa lking at the same time, will they meet?
Answers
Although Alex and Lauren will both step into position 4,6, they will not do it at the same time, so they will not meet.
How do Alex and Lauren position will change?Lauren:
Initial position: 0,6Second 1: 1,6Second 2: 2,6Second 3: 3,6Second 4: 4,6Alex:
Initial position: 4,0Second 1: 4,2Second 2: 4,4Second 3: 4,6Second 4: 4,8Do they meet?Both will step in the position 4,6, However, Lauren will be in this positon in the second 4, while Alek will do it on the second 3.
Learn more about parametric equations in: https://brainly.com/question/12718642
#SPJ1
Related Questions
line l passes through two points (-2,1) and (4,3) then find the slope of line l and find y-intercept of the line l ,find x-intercept of the line l and write the equation of the line l and sketch the graph of the line i
Answers
The linear equation that passes through the two given points is:
y = (1/3)*x + (5/3)
How to find the linear equation?
A linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If a line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is equal to:
a = (y₂ - y₁)/(x₂ - x₁).
In this case, we know that the line passes through (-2, 1), and (4, 3).
Then the slope is:
a = (3 - 1)/(4 - (-2)) = 2/6 = 1/3
So the line is something like:
y = (1/3)*x + b
To find the value of b, we use the fact that the line passes through the point (4, 3), then:
3 = (1/3)*4 + b
3 - 4/3 = b
5/3 = b
So the line is:
y = (1/3)*x + 5/3
Finally, the x-intercept of the line is the value of x such that y = 0.
0 = (1/3)*x + 5/3
-5/3/(1/3) = x = -5
The graph of the line can be seen below.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/1884491
help me guys pls pls pls
Answers
2. 75
3. 900
For the first one, add 10 + 15, then times it by 6 (the height). Finally, divide by 2. Base + base times height divided by 2.
The second one, do 15 x 10, then divide by 2. Base x height divided by 2
Finally, the last one do 36 x 35. Base x height.
1) 68.1795
2) 75
3) 900
The function below describes the total cost, y, of a hamburger with a toppings on it.
y= 1.90 + 1.40x
What does the slope mean in terms of the context?
O The cost of the hamburger will decrease by $1.90 per topping.
O The cost of the hamburger will increase by $1.90 per topping.
O The cost of the hamburger will increase by $1.40 per topping.
O The cost of the hamburger will decrease by $1.40 per topping.
Answers
Answer:
O The cost of the hamburger will increase by $1.40 per topping.
Step-by-step explanation:
y = 1.90 + 1.40x→ $1.90 is the fixed cost of the hamburger→ $1.40 is the price per topping and it will increase as the slope of the function/graph is positive⇒ Option 3Answer:
The cost of the hamburger will increase by $1.40 per topping
Step-by-step explanation:
Given equation:
y = 1.90 + 1.40x
where
y = total cost of hamburgerx = number of toppingsThe slope-intercept form of a linear equation is y = mx + b (where m is the slope and b is the y-intercept).
Rearranging the given equation to this form: y = 1.40x + 1.90
Therefore, 1.40 is the slope and 1.90 is the y-intercept.
The slope is the rate of change. This is the amount by which y will change with respect to changes in x. The slope is positive, so as x increases, y will increase.
Therefore, the cost of the hamburger will increase by $1.40 per topping.
if the tempture is 39.2 degrees F what would the tempture be in celsius
Answers
Answer:
4 degrees celsius
Step-by-step explanation:
Students were asked how many pairs of shoes they owned. Their responses were 8, 2, 1, 5, 7, 6, 2, 2, 8, and 3.
The mean of the data is .
Answers
I think this is the answer .
Answer:
4.4
Step-by-step explanation:
Suppose that the first four moves of a tic-tac-toe game are as shown.
Does the first player (whose moves are marked by Xs) have a strategy that will always win? (If no, explain why. If yes, show the winning strategy in a form of a game tree)
Answers
The first player using Xs does indeed have a strategy to always win by placing an X in the Middle right box.
Why is this a winning strategy?When the first player places an X in the middle right spot, the second player will have to place an O in two places to avoid the first player winning.
They would have to place an O in the middle left space and in the bottom right space. Seeing as they can't place an O in two boxes at once, the first player will be able to place an X in the empty box out of the two, and win.
In conclusion, there is a winning strategy.
Find out more on strategy in tic-tac-toe at https://brainly.com/question/15262069.
Step-by-step explanation:
The first player has two possible winning moves.
1. Middle right boxRegardles the next move the first player has one of the two options next: middle left or bottom right box
2. Bottom right boxRegardles the next move the first player has one of the two options next: middle right or top left box
Which of the numbers listed below are solutions to the equation? Check all
that apply.
x² = -64
O
A. -8
O
B. -64
0 C. 8
1
D. -4
u
E. 64
F. None of these
Answers
Answer:
F. None of these
Step-by-step explanation:
A number can never be negative when squared unless an imaginary number is involved. Since none of the answers involve i, the answer must be F. None of these.
Assuming that you have 50 subjects that you want to randomly assign to two different groups of 25, explain how you would use a random number table to do it. (10 points; 7 for your answer, 3 for response to others' comments.)
Answers
A random number table can be used by first assigning a number to each subject and then randomly selecting the subjects for each group.
What is a random number table?This is table that contains random numbers and it is used to select random samples.
How to use it in this case?Assign a number to each participant from 1 to 50.Grab the random number table and without looking point at a number in the table.If the last two digits of the number are between 01 and 50, assign the participant to the first group. If not select another number.Assign 25 participants to the first group using this metho and then automatically assign the remaining 25 participants to the second group.Learn more about numbers in: https://brainly.com/question/17429689
Evaluate 2x(8+4)-7
Please do some working out
Answers
Answer:
24x-7
Step-by-step explanation:
First, we distribute the 2x.
2x * 8 = 16x
2x * 4 = 8x
16x+8x-7
24x-7
This is the final result / your answer :
24x-7
Answer:
24x-7
Step-by-step explanation:
1. Add 8 and 4, this leaves us with 2x(12)-7
2. Multiply 12 and 2. This leaves us with 24x-7
Find the distance between the two points in simplest radical form.
(-8,3) and (-2,-5)
Answers
Here we would be using distance formula to calculate the distance between those two points.
Points are,
(-8,3) (-2,5)★ Distance Formula :
[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]We have :
x1 = -8 x2 = -2 y1 = 3 y2 = -5Substituting the values in the formula :
Refer the attachment.The distance between the pair of points (-8,3) and (-2,-5) in radical form is √100.
What is the distance between the pair of points?The distance formula can be expressed as:
[tex]d = \sqrt{( x_2 - x_ 1 )^2 + ( y_2 - y_1 )^2}[/tex]
Given the coordinates of the pair of points:
Point 1( -8,3 )
x₁ = -8
y₁ = 3
Point 2( -2,-5 )
x₂ = -2
y₂ = -5
Plug the coordinates into the distance formula and simplify.
[tex]d = \sqrt{( x_2 - x_ 1 )^2 + ( y_2 - y_1 )^2}\\\\d = \sqrt{( -2 - (-8) )^2 + ( -5 - 3 )^2}\\\\d = \sqrt{( -2 + 8 )^2 + ( -5 - 3 )^2}\\\\d = \sqrt{( 6 )^2 + ( -8 )^2}\\\\d = \sqrt{36 + 64}\\\\d = \sqrt{100}[/tex]
Therefore, the distance is √100 units.
Learn more about the distance formula here: brainly.com/question/24509115
#SPJ3
Please help! First answer correct BRAINLIEST
Answers
Answer:
8.......................
Step-by-step explanation:
It's clear that the figure is rhombus (because diagonals make right angle).
Rhombus area formula: (AC×BD)÷2
So if we have area and one diagonal then it's easy to find another diagonal.
S=AC×BD÷2
14.5×BD÷2=58
14.5BD=58×2
14.5BD=116
BD=116÷14.5
BD=8
noah saved $47 in june, $36 in july, and $27 in august. Then noah spent $18 on school supplies and $36 on new clothes. How much money does noah have left?
Answers
47 + 36 + 27 = 110
110 - 18 - 36 = 56
Which statement describes the graph of the function?
The function has holes when x = 0 and x = 4.
The function has vertical asymptotes when x = 0 and x = 4.
The function has a vertical asymptote when x = 0 and a hole when x = 4.
The function has a hole when x = 0 and a vertical asymptote when x = 4.
Answers
Answer:
the function has vertical asymptotes when x = 0 and x = 4
Step-by-step explanation:
joshua drinks 8 cups of water a day. The recommended daily amout is given in fluid ounces.How many fluid ounces of water does he drink each day?
Answers
Question:
Joshua drinks 8 cups of water a day. The recommended daily amout is given in fluid ounces. How many fluid ounces of water does he drink each day?
What were being asked:
How many fluid ounces of water does he drink each day?
Answer:
The answer is
→ 64 fluid ounces
Step-by-step explanation:
1 cup of water = 8 fluids.
8 cups of water x 8 fluids = 64 ounces
Therefore, your answer is 64 fluid ounces.
Hope this helped! :^)
⭐Brainliest will be appreciated!⭐
✉️Message me if you have any more questions!✉️
- ✨7272033Alt✨
Submitted on 4/18/2022 at 4:08 PM
(To avoid plagarism, by users whom decide to copy.)
please help, there is a picture.
Answers
Answer:
B (2.5, -0.5)
If UVWX is a parallelogram, what iS the value of y?
Answers
The left and right sides need to be the same to be a parallelogram .
15 = 1/4y
Divide both sides by 1/4
Y = 60
Answer: B. 60
Answer:
its 60
Step-by-Step Explantion:
What is 24% of 234 and it has to be 20 characters long
Answers
Answer:
56.16
We need to determine 24% of 234 now and the procedure explaining it as such
Step 1: In the given case Output Value is 234.
Step 2: Let us consider the unknown value as x.
Step 3: Consider the output value of 234 = 100%.
Step 4: In the Same way, x = 24%.
Step 5: On dividing the pair of simple equations we got the equation as under
234 = 100% (1).
x = 24% (2).
(234%)/(x%) = 100/24
Step 6: Reciprocal of both the sides results in the following equation
x%/234% = 24/100
Step 7: Simplifying the above obtained equation further will tell what is 24% of 234
x = 56.16%
Therefore, 24% of 234 is 56.16
please mark it Brainiest answer
6. За день туристы прошли 22 km. 3 часа они
шли со скоростью 4 km/h, а остальное рас-
стояние
со скоростью 5 km/h. Сколько вре-
мени туристы были в дороге?
Answers
Answer:
5 hoursStep-by-step explanation:
The question isThe tourists walked a distance of 22 km during a day.
The first 3 hours they walked with the speed of 4 km/h and the rest of the distance with the speed of 5 km/h.
What was the total time they walked.
----------------------
Let the time the tourists walked with 5 km/h is t, then we have the following equation for the total distance
3*4 + t*5 = 22Solve for t
12 + 5t = 225t = 22 - 125t = 10t = 2The total time was
3 + 2 = 5 hoursb – 12 = 36
A.b = 34
B.b = 48
C.b = 26
D.b = 28
Answers
A spinner is labelled with three colors: Red, Green and Blue Marcus spun the spinner once and tossed a coin once.
Construct a tree diagram for this situation. Determine how many outcomes are possible Complete your work in the
space provided or upload a file that can display math symbols if your work requires it. Include the tree diagram in yo
answer.
Answers
Answer:
there are three outcomes
Step-by-step explanation:
three colours= three outcomes
don't have a diagram
bought a 45-inch television. The size of the TV is measured diagonally.
The television has a height of 27inches. What is the length of the TV?
3
MATH
A 30 in.
B
32 in.
C 36 in.
D 39 in.
45 in.
27 in.
Answers
Answer:
C) 36 inches
Step-by-step explanation:
Let the diagonal be the hypotenuse and use Pythagoras' Theorem:
[tex]a^2+27^2=45^2\\a^2+729=2025\\a^2=1296\\a=36[/tex]
So, the length of the TV was 36 inches.
Park
Avenue
Describe the lines that intersect at Park Avenue and Hawthome Boulevard. Explain.
Answers
Answer:
make it clearer
Step-by-step explanation:
Juma bought a geometry set at sh 2000 and later sold it at sh 2500. find his percentage profit
Answers
bought price= 2000
sold price= 2500
to find:the percentage profit
solution:[tex]profit\% = 100 \times \frac{(final - initial)}{initial} [/tex]
[tex]profit\% = 100 \times \frac{(2500 - 2000)}{2000} [/tex]
[tex] = \frac{(2500 - 2000)}{2000} [/tex]
[tex] = \frac{1}{4} [/tex]
[tex] = \frac{1}{4} \times 100\%[/tex]
[tex]profit\% = 25\%[/tex]
therefore, his percentage profit is 25.
Convert 1.5 kg to grams
Answers
Answer:
1500 g
Step-by-step explanation:
The SI prefix "kilo-," abbreviated "k," means 1000. So, 1.5 kilograms is ...
1.5×(1000 g) = 1500 g
Use the distribution property to explain how 30 flowers in a bunch can be counted in groups of 2s and 3s.
Answers
The way 30 flowers in a bunch can be counted in groups of 2s and 3s is 2(3(3) + 3(2))
Prime factorization of numbersFrom the question, the interpretation is that we are to write the prime factorization of 30
30 = 2 * 15
30 = 2{3 (3 + 2)}
Expand using the distribution property
30 = 2(3(3) + 3(2))
30 = 2(9 + 6)
Hence the way 30 flowers in a bunch can be counted in groups of 2s and 3s is 2(3(3) + 3(2))
Learn more on prime factorization here: https://brainly.com/question/92257
help me please this is hardddd
Answers
Answer:
4) C
5) A, B, and D
6) 0.99m+50
7) h=d/2
Step-by-step explanation:
I need help please answer
Distances in space are measured in light-years. The distance from Earth to a star is 6.8 × 1013 kilometers. What is the distance, in light-years, from Earth to the star (1 light-year = 9.46 × 1012 kilometers)?
A 2.66 light-years
B 7.18 light-years
C 7.74 light-years
D 9.46 light-years
Answers
Answer:
B) 7.18
Step-by-step explanation:
sorry if I am wrong. I hope this helps.
What is the value of z?
Enter your answer in the box
Answers
Answer:
23 degrees
Step-by-step explanation:
The sum of the interior angles of a triangle = 180
z + 62 + 95 = 180
z = 23 degrees
-x^2+16x+64=0 need to know using quadratic formula to find the zeroes
Answers
Answer:
[tex]x= 8\left(1- \sqrt 2 \right)\\\\\\x= 8\left(1+ \sqrt 2 \right)\\[/tex]
Step by step explanation:
[tex]-x^2 +16x +64 =0\\\\\text{Use the quadratic equation formula,}~~ x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\text{In this case,}~ a=-1, b=16, c=64\\\\\\x=\dfrac{-16\pm\sqrt{16^2 -4 \cdot (-1)(64)}}{2(-1)}\\\\\\~~~=\dfrac{-16\pm\sqrt{512}}{-2}\\\\\\~~~=\dfrac{-16 \pm \sqrt{256 \times 2}}{-2}\\\\\\~~~=\dfrac{-16 \pm 16\sqrt2}{-2}\\\\\\~~~=8 \pm(-8)\sqrt 2\\\\\text{Hence,}\\\\x=8-8\sqrt 2 = 8\left(1- \sqrt 2 \right)\\\\x= 8+8\sqrt 2 = 8\left(1+ \sqrt 2 \right)[/tex]
Divide.
3/5 ÷ 2/5 = ???
A.
2/3
B.
1 1/2
C.
6/25
D.
4/5
Answers
Answer:
i put it in a calc and got 1 1/2 which simplifies to 2/3
Step-by-step explanation:
Answer: a?
Step-by-step explanation:
i did 3 dived by 5 then 2 diviided by 5, dived the awnsers and got 2/3