1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andrezito [222]
2 years ago
7

Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases. Find

a rectangular-coordinate equation for the curve by eliminating the parameter. Express the vector v with initial point P and terminal point Q in component form. (Assume that each point lies on the gridlines.)

Mathematics
1 answer:
Paul [167]2 years ago
8 0

The <em>lower right</em> image represents the image of the <em>parametric</em> formulas, whose <em>rectangular</em> formula is \frac{x^{2}}{16} + \frac{y^{2}}{25} = 1. The vector in <em>component</em> form is \vec v = (8, -4).

<h3>How to analyze parametric equations and vectors</h3>

<em>Parametric</em> formulas are <em>vectorial</em> expressions in terms of a parameter (t). Planar parametric expression are of the form \vec r(t) = (x(t), y(t)). Ellipses centered at the origin are described by the following expression:

\vec r (t) = (a\cdot \cos t, b \cdot \sin t)     (1)

Where a, b are the lengths of the <em>major</em> and <em>minor</em> semiaxes.

By direct observation of the given <em>parametric</em> equations, we conclude that the ellipse of the lower <em>right</em> image represents the two equations.

The <em>rectangular</em> equation of the ellipse is found by eliminating the parameter:

\cos ^{2}t + \sin ^{2}t = 1  

(\frac{x}{4})^{2} + \left(\frac{y}{5} \right)^{2} = 1

\frac{x^{2}}{16} + \frac{y^{2}}{25} = 1

According to the geometry, vectors can be generated from two points, one of them as the <em>initial</em> point. A vector can be defined as a subtraction between two vectors with <em>initial</em> points at the origin:

\vec v = B(x, y) - A(x, y)     (2)

Where:

  • A(x, y) - Initial point
  • B(x, y) - Final point

If we know that A(x, y) = (1, 8) and B(x, y) = (9, 4), then the equation of the vector is:

\vec v = (9, 4) - (1, 8)

\vec v = (9 - 1, 4 - 8)

\vec v = (8, -4)

To learn more on parametric equations: brainly.com/question/12718642

#SPJ1

You might be interested in
Please help me with this
yulyashka [42]
1 2/4 one and a half
4 0
3 years ago
Read 2 more answers
Determine the solution to 11y = 37.4.
Annette [7]
Y= 3.4. If you divide 37.4 by 11 then y would equal 3.4. Check by multiplying 3.4 by 11
8 0
3 years ago
Read 2 more answers
The function g(x) is a transformation of the quadratic parent function, f(x)=x2. What function is g(x)?
larisa86 [58]

Answer:

D.

Step-by-step explanation:

Your graph of f(x)= x^2 is the parent function. What you need to know for this graph what the stretch or compression is and what the flip is. When you flip somehting over the x-axis, which is g(x), your x^2 is negative. Also, since your graph gets skinnier, the number before the x would be a whole number, with no fractions. The only answer that fulfills this is answer choice D.

3 0
2 years ago
I have a question about basic algerba so I need some helps and its a word problem sooo yeah please help I'm giving out some big
Annette [7]

Answer:

2. x+0.3x

Step-by-step explanation:

hope this helps

4 0
3 years ago
Read 2 more answers
Kayla walked 4 kilometers due east before turning left and walking 2.5 kilometers due north. She turned again and returned to he
tatiyna
<span>Kayla walks a path with a triangle shape with three corners, starting point A, point where turns north, B, and point where head towards start, C. The question is calculate the angle in the point C, knowing that A-B distance is 4 km and B-C is 2.5 To do this calculation we are going to use the trigonometry function tangent: tangent C = opposite/adjacent = 4/2.5 = 1.6 Then C angles is: C = arctan (1.6) = 57.99Âş So the solution is round to 58Âş</span>
8 0
3 years ago
Other questions:
  • Tahari is shopping for a new car. She is making her decision based on brand, color, and style. She can choose from 4 brands, 5 c
    13·3 answers
  • What Is The Mass, Volume, Density
    9·1 answer
  • Jennifer bought a printer that cost $240. there was a 7% sales tax on the printer. how much sales tax did jennifer pay?
    7·2 answers
  • Please answer
    6·1 answer
  • X over 3 equals 1 over 4. how do i solve this in algebra? its solving one-step equations.
    13·1 answer
  • Emma drank 1/4 of a milkshake in 1/12 of a minute. How many minutes will it take her to drink a full milkshake?
    8·1 answer
  • X²-12x+a=(x+b)² find a and b​
    12·1 answer
  • I still don’t get how to do this. Someone help me understand please
    9·1 answer
  • Will give brainliest to the correct answer
    6·2 answers
  • Pls help me out with this question​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!