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
Tju [1.3M]
3 years ago
8

The position of an open-water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to

the shoreline. Write an equation that represents this path.
Mathematics
1 answer:
marin [14]3 years ago
4 0

Answer:

An equation that represents this path is described below in detail.

Step-by-step explanation:

The equalization that describes the pathway of the swimmer to the shoreline can be described in the slope-intercept pattern, given as.

Where,

Slope (m) = the adverse reciprocal of the incline of the shoreline, considering it is perpendicular to it = ??

y-intercept (b) = ??

Find the incline of the shoreline using, (0, 1) and (4, 4):

.

Considering the incline of the shoreline is ¾. The incline of the pathway of the swimmer would be the adverse reciprocal of ¾.

The adverse reciprocal of ¾ = -⁴/3.

The incline of the swimmer's path = -⁴/3.

Applying the coordinate of the position of the swimmer (6, 1), and the incline of the way, we can find b, the y-intercept of the way.

Substitute x = 6, y = 1 and m = -⁴/3 into y = mx + b, to find b.

Thus:

1 = (-⁴/3)(6) + b

1 = -8 + b

Add 8 to both sides

1 + 8 = b

9 = b

b = 9

Substitute m = -⁴/3 and b = 9 into y = mx + b.

You might be interested in
PLEASE HELP ME TRYING TO MAKE HONOR ROLL PLASE HELP PLEASE
Helga [31]

Step-by-step explanation:

a+(a+60)=760

a=adult tickets

a+60=student tickets

a+a+60=2a+60

2a+60=760

-60 -60

2a=700

÷2. ÷2

a=350

350 adult tickets

6 0
3 years ago
Select the correct solution set.<br> X+17 5 -3<br> {XIX2-20)<br> {XIXS-20)<br> [xl xs 14
gtnhenbr [62]

Answer:

x≤-20

Step-by-step explanation:

x+ 17≤-3

Subtract 17 from each side

x+ 17 -17≤-3-17

x≤-20

3 0
3 years ago
I really need help pls. Its about 3d shapes
Svet_ta [14]

The image is blurry

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
How do you graph this ​
Trava [24]

Answer:

=6

Step-by-step explanation:

hat is this passage mostly about?

Click for the passage, "Studies in Ice."

A. Studying nature

B. Storing and moving ice safely

C. Powering drills with the sun

D. Saving messages in ice

3 0
2 years ago
Select TWO values of x that are roots
Sauron [17]

x_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a};\ x_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\y=x^2+3x+5\\\\a=1;\ b=3;\ c=5\\\\b^2-4ac=3^2-4(1)(5)=9-20=-11\\\\x_1=\dfrac{-3-\sqrt{-11}}{2\cdot1}=\dfrac{-3-\sqrt{-11}}{2}\\\\x_2=\dfrac{-3+\sqrt{-11}}{2}

Answer: A and B.

3 0
3 years ago
Read 2 more answers
Other questions:
  • How do i figure our what half if 13is
    14·2 answers
  • Is the value of the 2 in 230 ten times as great as the value of the 3 in the same number? Explain why or why not
    9·1 answer
  • E 40)7280<br><br> How do you solve this
    7·1 answer
  • I need help with that! Someone please help me
    7·2 answers
  • Which of the following statements describes a correct method for solving the equation below?
    9·1 answer
  • Please help need a 100
    15·1 answer
  • One study, based on responses from 1,017 randomly selected teenagers, concluded that 39% of teenagers cite grades as their great
    10·1 answer
  • NO ONEIS ANSWERING MY QUETION PLEASE ANSWER FOR 10 POINTS
    8·2 answers
  • 5. 4i(-2 - 4i)
    11·1 answer
  • What do i out in for the boxes
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!