the parametric equations x = square root t, y= 3t - 4 for t in [ 0,4] define a plane curve

The Parametric Equations X = Square Root T, Y= 3t - 4 For T In [ 0,4] Define A Plane Curve

Answers

Answer 1

Answer:

a) We kindly invite you to read the explanation and check the image attached below for further details.

b) The rectangular equation is [tex]y = 3\cdot x^{2}-4[/tex].

Step-by-step explanation:

a) Let [tex]x = \sqrt{t}[/tex] and [tex]y = 3\cdot t -4[/tex] for [tex]t\in[0,4][/tex]. We proceed to graph the expression with the help of a graphing tool. In this case, the tool Desmos is used and the result is presented below.

b) The rectangular equation for the curve is:

[tex]t = x^{2}[/tex] (1)

[tex]y = 3\cdot t - 4[/tex] (2)

By applying (1) in (2), we get the following equation in rectangular form:

[tex]y = 3\cdot x^{2}-4[/tex]

The Parametric Equations X = Square Root T, Y= 3t - 4 For T In [ 0,4] Define A Plane Curve

Related Questions

PLEASE HELP i’ll mark brainliest!!

Answers

Answer:

[tex] { \boxed{(x - 3)}}^{2} = \boxed{16}[/tex]

Step-by-step explanation:

[tex] {x}^{2} + 2x - 7 = 8x \\ \\ {x}^{2} + 2x - 8x = 7 \\ \\ {x}^{2} - 6x = 7 \\ \\ {x}^{2} - 6x + {3}^{2} = {3}^{2} + 7 \\ \\ {(x - 3)}^{2} = 9 + 7 \\ \\ { \boxed{(x - 3)}}^{2} = \boxed{16}[/tex]

Aaron spent $35 to buy some new baseball
cards. Each pack of cards cost the same whole
dollar amount. How many packs of cards
could he have bought?

Answers

Answer:

He can buy 7 packs or 5 packs it depends on how each costs seperately.

Step-by-step explanation:

If each pack costs 5 dollars then he can buy 7.

If each pack costs 7 dollars then he can buy 5.

A triangle has side lengths of 13 feet, 18 feet, and 12 feet. What kind of triangle is it?

Answers

Answer:

scalene

Step-by-step explanation:

no sides are the same

s - 185 = -22
UwU help meh

Answers

Answer:

I believe you solve for s, the answer is s=136, please let me know if I am incorrect.

The answer is 163.
s- 185= -22
You would have to get the variable (s) on its own, so add 185 to both sides.
s= -22 +185= 163

I could really use some help with this!!!

Answers

with what do you need help with??

Help me please


Jayla’s goal is to write a 100 page book of poetry. She has already written 30 pages. Each day she writes 10 more pages. How many days will it take her to finish the book?

Answers

Answer:

100

Step-by-step explanation:

100-30=70

70÷10=7

7 days or 1 week

if it is not right please let me know

Answer:

7 days

Step-by-step explanation:

100 - 30 = 70

This means that she still needs to write 70 pages.

70/10 = 7

Which expression is equivalent to the one below? 6 ÷ 5

A 6:1/5
B 5:1/6
C 5/6
D 30​

Answers

Answer:

option A

Step-by-step explanation:

6:1/5 can also be written as 6/1÷5 which equals to 6÷5

Answer:

Option A is equivalent to the expression.

If 47 divided by a power of 10 to get 0.047 what power of 10 was it divided by

Answers

Answer:

0.01

Step-by-step explanation:

cause 47 x 0.01 + 0.047

The power of 10 that you would dived it by would be 1,000.

Because here we have 3 option 10, 100, and 1,000. So what we would do is divide each one to that main number "47"

47 ÷ 10 = 4.747 ÷ 100 = 0.4747 ÷ 1,000 = 0.047

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Answers

Answer: 2/1/3

Step-by-step explanation:

. Sharon is building bookshelves for her room. She bought a board that is 10 1/2 feet long. If she cuts the board into three equal pieces, how long will each shelf be?​

Answers

Answer:

3 1/2 feet

Step-by-step explanation:

10 1/2 / 3 = 7/2 = 3 1/2

Solve this radical equation:



Answers

Answer:

x = 5

Step-by-step explanation:

Step-by-step explanation:

Given,

[tex] \sqrt{x + 11} - x = - 1[/tex]

To Find:

Value of x

Solution:

Square both sides, then solve.

[tex] \rm \implies \: \: \sqrt{(x + 11} ) {}^{2} = ( - 1 + x) {}^{2} [/tex]

[tex] \implies \rm \: x + 11 = - (1 + x) {}^{2} [/tex]

[tex] \rm \implies \: \: x + 11 = 1 - 2x + x {}^{2} [/tex]

[tex] \rm \implies \: 1−2x+x {}^{2}=x+11[/tex]

[tex] \rm \implies1+x {}^{2} −3x=11[/tex]

[tex] \rm \implies1+x {}^{2} −3x−11=0[/tex]

[tex] \rm \implies {x}^{2} - 3x - 10 = 0[/tex]

Factor the LHS

[tex] \implies \rm \: (x - 5)(x + 2) = 0[/tex]

Bring terms equal to 0, that is

[tex] \implies \rm(x - 5) = 0[/tex]

Solve for x

[tex] \implies \rm \: x = 5+ 0 = \boxed 5[/tex]

AND set x+2 equal to 0,

[tex] \rm\implies \: x + 2 = 0[/tex]

Solve for x

[tex] \rm \implies \: x = - 2[/tex]

So the possible two values are 5 & -2.

But, after plugging the values for verifying each,the most accurate is 5.

So, the value of x is 5.

8. La semana pasada, John gasto $ 18 en 4 juegos de bolos. Esta semana gastó $ 27 en 6 juegos de bolos. John tiene su propio par de zapatos, por lo que solo paga por los juegos que juega. ¿Es esta relación proporcional? Si es así, ¿cuál es la constante de proporcionalidad?.

Answers

Answer:

Step-by-step explanation:

las quenos juegos = 18

Simplify the expression.
3(2+q)+15 simplified is

Answers

Answer:

3q+21

Step-by-step explanation:

Answer:

brainliest plsssss

Step-by-step explanation:

Let's simplify step-by-step.

3(2+q)+15

Distribute:

=(3)(2)+(3)(q)+15

=6+3q+15

Combine Like Terms:

=6+3q+15

=(3q)+(6+15)

=3q+21

Try it Create 3 different fractions that are equivalent to 0. Press Check after each one. 0 Fractions equivalent 1 4 0 Incorrect. Make sure both bars are shaded equally Check Previous Activity General (Science - S... P Foundational Math .... Marlon Porter Proje.....​

Answers

Answer:

0/2 0/5 0/10

Step-by-step explanation:

Any legal fraction (denominator not equal to zero) with a numerator equal to zero has an overall value of zero.

After the movie premiere 99 out of 130 people surveyed said they liked the movie.
What is the experimental probability that the next person surveyed will say he or she liked the movie?
What is the experimental probability that the next person surveyed will say he or she did not like the movie?

Answers

Answer:

99 over 130 multiplied by 100 over 1

4. The perimeters of the rectangle and the triangle below are equal. Find the value of x.​

Answers

Answer:

x=6

Step-by-step explanation:

the perimeter of the rectangle is equal to 2x + 16.

the perimeter of the triangle is equal to 3x + 10.

since they are equal now you can solve by saying 2x + 16 = 3x + 10

Now you solve for x

2x + 16 = 3x + 10

2x + 6 = 3x

6 = x

PLEASE HALP ASAP MARKING BRAINLEIST

Answers

Answer: y = (4/3)x - 7

Explanation

Answer:

y=4/3x-7

Step-by-step explanation:

The slope intercept formula y=mx+b, m being the slope and b being the y-intercept so all we have to do is find those and plug them in to get the answer.

help please I'm in a timed test
The sum of two numbers is 0. Twice the smaller number subtracted from 3 times the larger number is 10. Let x re the larger number and y represent the smaller number. Which equations represent this situation?
y=-X y=āx-5
y = x 3 v=zx-5
y= 3x+ 3 2 Y = 3x+​

Answers

Answer:

it's A

Step-by-step explanation:

y=-x

y=3/2x-5 hope this helps you


Identify the slope and y intercept of the function y= -5x + 4.
A. The slope is 4.
The y-intercept is (0,5).
B. The slope is 4.
The y-intercept is (0, -5).
C. The slope is -5.
The y-intercept is (0,4).
D. The slope is 5.
The y-intercept is (0,4).

Answers

Formula of slope:

y=mx+b

Answer:

C.

Answer:C. The slope is -5.

The y-intercept is (0,4).

Step-by-step explanation:

A. The slope is 4.

The y-intercept is (0,5).

B. The slope is 4.

The y-intercept is (0, -5).

C. The slope is -5.

The y-intercept is (0,4).

D. The slope is 5.

The y-intercept is (0,4).

What’s the answer lol

Answers

Answer:

a i think

Step-by-step explanation:

The man above me has the power so it’s A may the force be with u

Please, What do you think of this. Please I need help on this

Answers

Answer:

C

Step-by-step explanation:

Since Year 3 and 4 have the highest students just subtract 33-25 and you get 8

MY HRW ‼️ Solve the equation. You may find using algebra tiles helpful in solving this problem.
X +6=-X-6

Answers

Answer:

x=-6

Step-by-step explanation:

x+6=-x-6

(-6)+6=(6)-6

0=0

Answer:

Solve the equation. You may find using algebra tiles helpful in solving this problem.  X +6=-X-6               X= -6

7. The path of a baseball after it has been hit is modeled by the function h = -0.0032d? + d + 3, where his
the height in feet of the baseball and d is the distance in feet the baseball is from home plate. Find the average
rate of change for the baseball between d = 100 and d = 200.

Answers

Answer:

[tex]A = 0.04[/tex]

Step-by-step explanation:

Given

[tex]h(d) = -0.0032d^2 + d + 3[/tex]

Required

Determine the average rate of change for d = 100 to 200

Average rate of change (A) is calculated as follows:

[tex]A = \frac{h(b) - h(a)}{b - a}[/tex]

In this case:

[tex]b = 200[/tex] and [tex]a = 100[/tex]

So: [tex]A = \frac{h(b) - h(a)}{b - a}[/tex] becomes

[tex]A = \frac{h(200) - h(100}{200 - 100}[/tex]

[tex]A = \frac{h(200) - h(100)}{100}[/tex]

Solving h(200)

[tex]h(d) = -0.0032d^2 + d + 3[/tex]

[tex]h(200) = -0.0032*200^2 + 200 + 3[/tex]

[tex]h(200) = 75[/tex]

Solving h(100)

[tex]h(d) = -0.0032d^2 + d + 3[/tex]

[tex]h(100) = -0.0032*100^2 + 100 + 3[/tex]

[tex]h(100) = 71[/tex]

So: [tex]A = \frac{h(200) - h(100)}{100}[/tex] becomes

[tex]A = \frac{75 - 71}{100}[/tex]

[tex]A = \frac{4}{100}[/tex]

[tex]A = 0.04[/tex]

Hence, the average rate of change is 0.04

Factor the expression 8x + 36

Answers

Answer:

4 (2x +9)

Step-by-step explanation:

Let me know if I'm wrong pls

18. Find the missing length indicated.
Find HJ
x+27
X+ 17

Answers

Answer:

The answer ia -30. Hope i help

Answer:

The answer is 30 hope it helps

graph the image of triangle PQR after a reflection across the line y = 2​

Answers

Answer: Refer to the diagram below

P ' is at (-7, 9)Q ' is at (1, 9)R ' is at (-6, 4)

================================================

Explanation:

The diagram shows how point R moves to R'. We move up 2 units going from R(-6,0) to (-6,2). This lands us on the line of reflection. Then we move another 2 units up to land on (-6,4) which is the location of point R'.

The other points P and Q follow the same idea. Though the distances will be different from R. For P and Q, we'll move 7 units up to arrive at the line of reflection, then another 7 units to arrive at the proper locations of P' and Q', which are (-7,9) and (1,9) respectively.

Answer:

If we draw the line of y=2 and if we find the reflections we have the new points of...

R(-6,4)Q(1,9)P(-7,9)

Now all we have to do it plot these points, and then we have the triangle PQR

a bottle of eye drops has 0.45 fluid ounces of liquid how much liquid is in ten Forths bottles of eye drop.

Answers

The answer is 4,500 fluid ounces

What is the numerical expression of 28

Answers

Answer:

the answer is 5 i think

Step-by-step explanation:

Identify which line from the graph the following right triangles could lie on

Answers

Answer:

There is no graph.

what is the answer to 5/6 x 4/3

Answers

Answer: 5/6 * 4/3 = 10/9

The Decimal Would Be: 1.111111

Step-by-step explanation:

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