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
Nonamiya [84]
3 years ago
8

A point p in the first quadrant lies on the parabola y=x^2. Express the coordinates of p as a function of the angle of inclinati

on of the line joining p to the origin​
Mathematics
1 answer:
max2010maxim [7]3 years ago
8 0

Answer:

  • The coordinates of the point p are:       (x,xtan\alpha )

                   

           

Explanation:

1. Name the angle of inclination of the line joining p to the origin α.

2. Find the relation between the coordinates of the point (x,y)

When you draw a line from the origin to the parabola, the intersection point, p(x,y) will have coordinates (x,y).

As per the definition of the tangent trigonometric ratio you have:

  • tan\alpha =\frac{y}{x}

From which you can clear y:

  • y=xtan\alpha =>(x,y)=(x,xtan\alpha )

Which is the expression of the coordinates of p as a function of the angle of inclination of the line joining p to the origin.

You might be interested in
7≥12−g solve for inequality<br> Plzz help me Its from khan academy
Step2247 [10]

Answer:

g= 4 and g =5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
there are 32 students in 4th grade class.Each table in the classroom seats 6 students.how many tables will be needed
vagabundo [1.1K]
This question wants you to divide 32 tables by 6 students which is 5.3333. Since 5 tables is not enough, 6 tables are needed.
3 0
3 years ago
6000 increased by 145%
Lisa [10]
Your question would be clearer if written as "What is 145% of 6000?"

1.45(6000) = 8700
8 0
3 years ago
PLEASE HELP ME WITH THIS I WILL GIVE BRAINLIEST
vladimir2022 [97]

Answer:

1) 6+4x and 5+3x. 2) 3+6x and 10+2x. 3) 15+4x and 2+3x

Step-by-step explanation:

finding area is just multiplying the sides so find numbers that multiply to make 30 and 12

6 0
3 years ago
Jeff's mother gave him money. he used an equal amount of money each day. at the end of the 7th day, he was left with 1/4 of how
skelet666 [1.2K]

Jeff received 280$ from his mother

Such questions are the simplest as it needs you to just write the conditions accordingly which then simplifies and provides you the answer.

This question can be solved using two tricks which are shown below:-

Trick  1 :

1 – 1/4 = 3/4 (used for the 1st 7 days)

1/4 – 410 (used for 8th and 9th days)

(3/4)/7 ——- (1/4 – 10)/2

(3/4) x (2/7) = 3/14 ——- (1/4 – 10)

1/4 – 3/14 = (7 – 6)/28 = 1/28 ——- 10

28/28 ——- 10 x 28 =$ 280

Trick 2 :

7 days ——- 3/4

1 day ——- 3/28

2 days ——- 6/28

6/28 ——- (1/4 – 10) = 7/28 – 410

1/28 ——- 10

28/28 ——- 10 x 28 = $280

Thus Jeff received 280$ from his mother.

Learn more about simple math here :

brainly.com/question/23678

#SPJ4

4 0
2 years ago
Other questions:
  • What are the zeros of the graphed function y = 1/3 (x + 3)(x + 5)?
    7·1 answer
  • HELP AS SOON AS POSSIBLE!!
    12·1 answer
  • Find how much was invested
    6·1 answer
  • A parachutist's rate during a free fall reaches 80 meters per second. what is this rate in feet per second? At this rate, how ma
    10·1 answer
  • 3. Find the value of x and y.<br> (80-x)<br> ya<br> (3x +20)°<br> Help meeeee
    7·1 answer
  • Sean’s house is currently worth $188,900 according to the realtor house prices and Shawn‘s neighborhood will increase by 4.8% ev
    15·2 answers
  • 3. Si al doble de un número se le resta su mitad resulta 30. ¿Cuál es el número? Plantear ecuación y resolverla
    13·1 answer
  • Each day at lunchtime, at least 53 people buy food from a food truck.
    6·2 answers
  • Which equation is equivalent to y/a=b
    8·1 answer
  • What is the expected share return given the following macro-economic probabilities? Probability of recession 20% - Share return
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!