answer.
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
vaieri
1 month ago
9

Two airplanes are flying to the same airport. Their positions are shown in the graph. Write a system of linear equations that re

presents this situation. Solve the system by elimination to justify your answer. Airplane #1 is on (2, 4). Airplane #2 is on (15, 9). The airport is on (6, 12).
HURRY UP AND ANSWER MY QUESTION!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Mathematics
1 answer:
zzz [12.3K]1 month ago
6 0
To formulate the system, it's necessary to consider the slope of each line along with at least one point from each line. The two lines will connect each plane's location to their destination airport. It's important to note that the airport's coordinates represent the intersection of these two lines, corresponding to the solution of the system. First, the slope of the line from airplane one to the airport is: m = 2; this can be observed by plotting the two points. From airplane 1's location, the rise is 8 units while the run is 4 units to reach the airport, making the slope 8 divided by 4 = 2. We then insert the slope and point (2,4) into the point-slope form: y - 4 = 2(x - 4), which can be rearranged to standard form 2x - y = 0. For airplane two, the slope to the airport is obtained by observing the vertical decrease of 3 and a horizontal increase of 9 as we move from the airport to airplane 2. We then substitute the slope and the point (15,9) into the point-slope form: y - 9 = -1/3(x - 15), which can be rearranged to the standard form: x + 3y = 42. Consequently, the system of equations is: 2x - y = 0 and x + 3y = 42. Multiplying the first equation by 3 produces a system of: 6x - 3y = 0 and x + 3y = 42. Adding these equations results in the equation 7x = 42. Thus, x = 6, and by substituting this value back into 2x - y = 0, we determine y = 12. Thus, we demonstrate that the airport's coordinates do indeed comprise the solution to our system.
You might be interested in
Henry has $21.50 to ride the trolley around San Francisco this week. It will cost him $0.50 every time he rides. Identify the de
PIT_PIT [12445]

Answer:

Dependent: Total cost of the ride.

Independent: Amount of rides.

Step-by-step explanation:

The independent variable represents what is adjusted, while the dependent variable signifies what alters as a result of that adjustment.

In this case, the total expense for rides fluctuates with any variation in the number of rides taken.

Therefore, the amount of rides is the independent variable whereas the total cost for rides is the dependent variable

5 0
1 month ago
Read 2 more answers
The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.
Zina [12379]

Answer:

Therefore, the data is best represented by:

y=26.9x-1.3

Step-by-step explanation:

We have a table indicating the estimated lines of code produced by computer programmers per hour when x individuals are engaged.

The question asks which model accurately reflects this data.

To determine this, we will substitute the values of x into each function to see which one accurately produces the corresponding y (f(x)) values provided in the table:

We are presented with four functions, which are:

A)

y = 47(1.191)^x

B)

y=34\times (1.204)^x

C)

y=26.9x-1.3

D)

y=27x-4

We'll create a table displaying these values at various x levels.

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27          150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

Thus, the function that suitably represents the data is:

Option C.

y=26.9x-1.3

6 0
2 months ago
Read 2 more answers
if a student scored 78 points on a test where the mean score was 84.5 and the standard deviation was 3.1. the student's z score
Inessa [12570]

Answer:

(value - mean)/standard deviation.

Now substitute 78 for the value, 84.5 for the mean, and 3.1 for the standard deviation.

Step-by-step explanation:

5 0
2 months ago
Other questions:
  • Two competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 p
    9·2 answers
  • Which of the following values are in the range of the function graphed below? Check all that apply.
    13·2 answers
  • Unit 3: Parallel & Perpendicular Lines Homework 5: Linear Equations Slope-Intercept & Standard Form
    5·1 answer
  • Is the value of the first 5 in California's population 10 times as great as the value of the second 5 ?
    12·1 answer
  • The steps in writing f(x) = 18x + 3x2 in vertex form are shown, but a value is missing in the last step. Write the function in s
    10·2 answers
  • Jordan prepares 200 name tags to use at a meeting. The number for each color of the name tag is described below.
    5·1 answer
  • Ruth has 12 feet of ribbon.
    15·1 answer
  • A classroom measures 12 meters long and 9 meters wide. When using a scale of 1 cm to 1.5 m to draw the room on your paper, the s
    7·1 answer
  • Carmen is using the quadratic equation (x + 15)(x) = 100 where x represents the width of a picture frame. Which statement about
    5·2 answers
  • 50 pts!!!! Luciana's laptop has 3,000 pictures. The size of the pictures is skewed to the right, with a mean of 3.7MB and a stan
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!