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
borishaifa [10]
1 year ago
6

Suppose you are given a parabola with two points that have the same y-value, such as (-7, 11) and (3, 11). Explain how to find t

he equation of the axis of symmetry for this parabola, and then determine that equation.
Mathematics
1 answer:
Hoochie [10]1 year ago
3 0

By using the midpoint formula and the equation of the line, the equation of the line of symmetry is x = - 2.

<h3>How to derive the equation of the axis of symmetry </h3>

In this question we know the locations of two points with the same y-value, which means that the axis of symmetry is parallel to the y-axis and that both points are equidistant. Thus, the axis of symmetry passes through the midpoint of the line segment whose ends are those points.

First, calculate the coordinates of the midpoint by the midpoint formula:

M(x, y) = 0.5 · (- 7, 11) + 0.5 · (3, 11)

M(x, y) = (- 2, 11)

Second, look for the first coordinate of the midpoint and derive the equation of the line associated with the axis of symmetry:

x = - 2

By using the midpoint formula and the equation of the line, the equation of the line of symmetry is x = - 2.

To learn more on axes of symmetry: brainly.com/question/11957987

#SPJ1

You might be interested in
There are 45 male teachers and 75 female teachersin a school. Find the percentage of male teachers, female teachers in the schoo
Zielflug [23.3K]

Answer:

37.5% are male

62.5% are female

Step-by-step explanation:

in total 120 teachers (45 male+75 female)

therefore:

for male

120 - 100%

45 - x%  (we need to find x)

by using the butterfly method (or cross multiply) we get:

120x=100*45

x=4500/120=37.5% (male teachers)

we do the same for female but instead of using 45 we will use 75(the quantity of female theachers in school)

120x=100*75

x=7500/120=62.5%

5 0
3 years ago
Please help asap!!!! will mark brainliest
mafiozo [28]

Answer:

A 9x--12 i hope this helps

4 0
2 years ago
Read 2 more answers
Exercise which car can travel farther on 1 gallon of gas?
Julli [10]

Answer:

nidE sme olome tib ary dae usa arajkpnoder xd jsaludos aja lpa

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
An image formed by a circular spotlight has a radius of 124 centimeters. What is the area of the circular image? Use 3.14 for pi
Lemur [1.5K]

area = pi X radius squared

 so area = 3.14 x 124^2

= 3.14 x 15376 = 48,280.64 square centimeters.

5 0
2 years ago
Read 2 more answers
Identify the equation in slope-intercept form for the line that has the given slope and contains the given point.
Kisachek [45]
The answer I got was y=-12x+43.

Hope this helps!
5 0
2 years ago
Other questions:
  • Travis are 2/3 of a small pizza Kai are 11/15 of a small pizza who ate more?
    5·2 answers
  • Which of the following does not have a solution of x ≤ 2?
    10·1 answer
  • Triangles ABC and DEF are <br><br> similar <br><br> non similar
    10·2 answers
  • What value of x makes the equation true <br> 2 (6x-1) = -38
    9·1 answer
  • Please please help me with this
    8·2 answers
  • Which best describes how to get from the origin to the point (–5, –7)?
    6·2 answers
  • Help with limits will give brainliest
    7·1 answer
  • Solve the equation.<br><br> 3(x−9)=30
    8·1 answer
  • A box contains 5 red marbles, 6 white marbles, and 8 blue. If a Marble is randomly selected from the box, what is the likely hoo
    8·1 answer
  • The table shows the length of time in hours ,some children spent watching tv last week
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!