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 will mark brainliest

Answers

Answer: the graph is incorrect

Step-by-step explanation:

The graph should be headed towards the left (the negative x side) because x is negative

Answer:

The graph is not correct, because it is a positive graph. It answers the equation y= x, and Franco said it was y= -x. His line would be negative, and this graph is positive.

Step-by-step explanation:

Please answer: A A piece of wood that is 7.07 centimeters long. Then she sawed 0.7 centimeters off the end. How long is the piece of wood now?

Answers

Answer:

6.37 cm

Step-by-step explanation:

the piece of wood is 6.37 cm long

From 1990 to 2000, the number of visits by the people to Bryce Canyon National Park increased by about 23.9 thousand visits per year. In 2000, there were about 1102.4 thousand visits to the park.

Answers

Answer:

Write an equation that gives the number of visits (in thousands) as a function of the number of years since 1990

Step-by-step explanation:

write a function for the table
please help I don't get it ​

Answers

Answer:

y = 2x - 5

Step-by-step explanation:

Let us consider the points (- 2, - 9) & (0, - 5)

Equation of line in two point form is given as:

[y-(-9)]/[-9-(-5)] = [x - (-2)]/[-2 - 0]

(y + 9)/(-9 +5) = (x + 2)/ (-2)

(y + 9)/(-4) = (x + 2)/(-2)

(y + 9)/(2) = (x + 2)/(1)

(y + 9) = 2(x + 2)

y + 9 = 2x + 4

y = 2x + 4 - 9

y = 2x - 5

This is the required function.

0 = 4 + n/5 two step equations​

Answers

Answer: n= -20?

Step-by-step:

Simplify both sides of the equation

1/5n+4=0

Then subtract 4 from both sides

1/5n + 4 - 4 = 0 - 4

1/5n= -4

Then multiply both sides by 5

5*(1/5n)=5*(-4)

Answer:

0=n

Step-by-step explanation:

1. 0=4+n/5

add 4 and n

2. 0=4n/5

×5. ×5

3. 0=4n

-- --

4 4

4. 0=n

Look at the picture for a more detailed steps

Find the value of the variable.

Answers

X= 4. You get this by setting the two equations equal to each other and isolating the variable and the constant.

pitcher can hold 1,200 milliliters of tea. How many liters of tea are in the pitcher?​

Answers

Answer:

1.2 Liters

Step-by-step explanation:

There are 1000 mL in 1 L. divide 1200 by 1000 and you get 1.2

Which graph matches the following statement? You are driving a steady speed, then stop for a train. When the train passes, you resume your speed. ​

Answers

Answer:

It is most likely B from the graph

Answer:

b is the correct answer of the question

Which of these is a point-slope equation of the line that is perpendicular to
y- 25 =2(x- 10) and passes through (-3, 7)?
A. y-7= -2(x+ 3)
B. y+7=--3)
C.y-7- -x+3)
D. y+7 = 2(x- 3)

Answers

Given:

Equation of line is [tex]y-25=2(x-10)[/tex].

A line is perpendicular to the given line and passes through (-3,7).

To find:

The point slope form of the perpendicular line.

Solution:

Point slope form of a line is

[tex]y-y_1=m(x-x_1)[/tex]          ...(i)

where, [tex](x_1,y_1)[/tex] is the point from which the line is passing through and m is slope.

We have,

[tex]y-25=2(x-10)[/tex]       ...(ii)

From (i) and (ii), we get

[tex]m_1=2[/tex]

Product of slopes of two perpendicular lines is -1.

[tex]m_1\times m_2=-1[/tex]

[tex]2\times m_2=-1[/tex]

[tex]m_2=-\dfrac{1}{2}[/tex]

So, slope of perpendicular line is [tex]-\dfrac{1}{2}[/tex].

Point slope form of the perpendicular line is

[tex]y-(7)=-\dfrac{1}{2}(x-(-3))[/tex]

[tex]y-7=-\dfrac{1}{2}(x+3)[/tex]

Therefore, the correct option is C.

Quick Help please !!! Don’t really know what to do :(

Answers

Answer:

do you have to find the perimeters? or areas?

Step-by-step explanation:

Solve the equation using the distributive property and properties of equality. 1/2x(X+6)= 18
What is the value of x?​

Answers

Answer:

x equals to 4

Step-by-step explanation:

because x is a coefficient of the bracket

Solve [tex]17(9-x)-50=52[/tex]17(9-x)-50=52

Answers

Answer:

17(9−x)−50=52

Step 1: Simplify both sides of the equation.

17(9−x)−50=52

(17)(9)+(17)(−x)+−50=52(Distribute)

153+−17x+−50=52

(−17x)+(153+−50)=52(Combine Like Terms)

−17x+103=52

−17x+103=52

Step 2: Subtract 103 from both sides.

−17x+103−103=52−103

−17x=−51

Step 3: Divide both sides by -17.

-17x ÷ -17

-51 ÷ -17

x = 3

Y’all know this anything about this?

Answers

We are given:

Parallelogram CDEF∠C = 13x - 10∠D = 5x + 10

To Find: ∠E

Concept Used:

Adjacent angles of a Parallelogram are Supplementary

Finding the value of 'x':

Since adjacent angles of a parallelogram are Supplementary:

∠D + ∠C = 180

5x + 10 + 13x - 10 = 180              [replacing the values of angle C and D]

18x = 180

x = 10                                          [dividing both sides by 18]

__________________________________________________________

Finding Measure of Angle D:

We are given that:

∠D = 5x + 10

∠D = 5(10) + 10                    [since x = 10]

∠D = 60°

__________________________________________________________

Finding the measure of ∠E:

∠D and ∠E are Adjacent angles

Since Adjacent angles are Supplementary:

∠D + ∠E = 180

60 + ∠E = 180

∠E = 120°                                  [subtracting 60 from both sides]

Hence, the measure of ∠E = 120°

Simon is playing a card game he needs to collect three cards each card should be a factor of 20 which set of cards should Simon choose 

Answers

Answer:

4 5 and 20

Step-by-step explanation:

If a+b/a-b=5/3, what are the following ratios? 2a-4b/a-2b

Answers

Answer:

Hope this may helps you

The value of ratios (2a - 4b) / (a - 2b) is,

⇒ 2

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

The value is,

⇒ (a + b )/ (a-b) = 5/3

Now, We get;

⇒ a + b = 5

⇒ a - b = 3

Hence, By solving above equation,

a = 4

b = 1

Thus, The value of ratios (2a - 4b) / (a - 2b) is,

⇒ (2a - 4b) / (a - 2b)

⇒ (2 × 4 - 4 × 1) / (4 - 2 × 1)

⇒ (8 - 4) / (4 - 2)

⇒ 4 / 2

⇒ 2

Thus, The value of ratios (2a - 4b) / (a - 2b) is,

⇒ 2

Learn more about the ratio visit:

https://brainly.com/question/12024093

#SPJ2

Sarah drove 40 miles per hour. In 3 hours, Sarah drove 120 miles. Which is a valid proportion to represent this description?

Answers

Answer:

40 mi / h = 120 mi / 3h  

Step-by-step explanation:

needed points so i juss looked it up btw its the right answer double checked it wit my smart as$ brother

Answer:

The answer is A

Step-by-step explanation:

I just did a test and got it right!

What is the approximate circumference of the circle shown below?
A. 37.8 cm
14.8 cm
B. 46.5 cm
C. 23.2 cm
D. 92.9 cm
SUBMIT

Answers

The approximate circumference of the circle shown in the image is given as follows:

B. 46.5.

How to obtain the circumference of a circle?

The circumference of a circle of diameter d is given by the multiplication of π and the diameter, as follows:

C = πd.

π has the numeric value of 3.14, hence the equation is approximated as follows:

C = 3.14d.

The diameter of a circle is the distance between two points on the circumference of the circle that pass through the center, hence for this problem it is given as follows:

d = 14.8 cm.

Then the circumference of the circle is of:

C = 3.14 x 14.8

C = 46.5 cm.

More can be learned about the circumference of a circle at brainly.com/question/12823137

#SPJ1

Answer: 46.5 cm

Just took the test and got it right!

lucy trey and rubin have a total of $100 dollars in their wallets. trey has $5 more than lucy reuben has 3 times what. trey has how much do they have in their wallets

Answers

Lucy has $16. Trey has $21. Reuben has $63

Value of 5.3x10 4.2x10 scientific notation

Answers

what????????????????

Determine the future amount if ₱150,000 is deposited in a fund for 5 years at 2.5% compounded annually

Answers

Answer:

169,711.23₱

Step-by-step explanation:

compound intrest formula

p(1+r/100)^n

150,000(1+2.5/100)^5

=169,711.23₱

The sum of two numbers is 21. One of the numbers squared plus 1 is equal to the other number. Given that both numbers are positive, what are the two numbers?

Answers

Answer:

4 and 17

Step-by-step explanation:

4 because 4^2 is 16 + 1 = 17 and the other # is 17 because 21-4 is 17

A polynomial is given below.
3x6 + 2x4 – x3 + 7
Which statement must be true about this polynomial?

Answers

Answer:

Step-by-step explanation:

Well since the polynomial is of not an even or odd sequence like the polynomial in the question is

[tex]3x^6+2x^4-x^3+7\\[/tex]

like the degree 6 is even the degree 4 is even but the degree 3 is odd so since the sequence breaks the polynomial above has no real x-intercepts meaning it has complex roots.

HELP ME PLEASE WITH GIVE YOU BRANLEST 20 POINTS

Answers

Answer:

A: 1min 12sec B: 1 lap C: 25min and 12 sec

Step-by-step explanation:

A: 5/6 = 1/x (ratio of the laps and time)=1 min 12sec

B: 1 lap

C: 25 minutes and 12sec

Which set of ordered pairs are solutions to this linear equation?
-4x+y=6
O(-5, -34), (2, 8), (6, 32)
o(-1, 2), (0, -4), (1, -2)
0 (-1, 2), (0, 6), (1, 10)
O(-3, -22), (-1, -2), (1, 2)
PLEASE

Answers

Answer:

0(-1,2),(0,6),(1,10)

Emily is at the grocery store and plans on buying cans of soup and frozen dinners, but is concerned about their sodium content. Each can of soup has 400 mg of sodium and each frozen dinner has 250 mg of sodium. How many milligrams of sodium are there in 2 cans of soup and 5 frozen dinners? How many milligrams of sodium are there in cc cans of soup and ff frozen dinners

Answers

Answer:

20

Step-by-step explanation:

Do You Know How?
In 3-6, multiply to find the product.
Estimate to check for reasonableness.
3. 205 x 23
4. 108 x 34
5. 410 x 44
6. 302 x 30

Answers

Answer:

3. 4,715 (estimate: 5,000)

4. 3,672 (estimate: 3,300)

5. 18,040 (estimate: 16,000)

6. 9,060 (estimate: 9,000)

Explanation:

It is reasonable if your answer is somewhat close to the estimate.

Find the slope of the line tangent to the curve f(x) = -10x^2 + 8x when x=9

Answers

The tangent line to f(x) at some point x has slope equal to f'(x), so first compute the derivative of f :

f(x) = -10x ² + 8x

f'(x) = -20x + 8

When x = 9, we have

f (9) = -10•9² + 8•9 = -738

f' (9) = -20•9 + 8 = -172

so the slope is -172.

If you also have to find the equation of the tangent line, use the point-slope formula:

y - (-738) = -172 (x - 9)

y = -172x + 810

Determined to find the slope
(1,7K) and (-3,5k)​

Answers

9514 1404 393

Answer:

  slope = k/2

Step-by-step explanation:

The slope formula is useful for finding slope.

  m = (y2 -y1)/(x2 -x1)

  m = (5k -7k)/(-3 -1)

  m = -2k/-4

  m = k/2

The slope is k/2.

Write fifty three hundredths in standard form

Answers

Answer:

53/100 or 0.53 i think thats right

PLEASE HELP ME FAST!

Answers

-9! person above was right
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