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.
Answers
Answer:
Step-by-step explanation:
To define the perpendicular line we need to first know the slope of the reference line graphed.
m=(y2-y1)/(x2-x1) we have points (0,5) and (2,1)
m=(1-5)/(2-0)
m=-4/2
m=-2
For lines to be perpendicular their slopes must satisfy
m1m2=-1, we have a line with a slope of -2 so
-2m=-1
m=1/2, so our perpendicular line is so far
y=x/2+b, it must have point (3,2) so we can solve for b
2=3/2+b
b=1/2, so the swimmer will travel along the line
y=x/2+1/2
Related Questions
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Question 1
1 pts
Flour comes in two different sized bags. The 25 lb bag sells for $14 while the 10 lb bag sells for
$5.50. Which is cheaper and by how much? (compare unit rates)
Smaller bag is cheaper by 50.10 per pound.
O Larger bag is cheaper by $0.01 per pound.
Larger bag is cheaper by $0.10 per pound.
Smaller bag is cheaper by $0.01 per pound.
Answers
Answer:
the 10 pound bag by $0.10 per pound
Solve for Y Box method Y^2 -5y + 4 = 0 plzz helpp
Answers
Answer:
y = 4, 1
Step-by-step explanation:
1) Factor y² - 5y + 4.
[tex](y - 4)(y - 1) = 0[/tex]
2) Solve for y.
Y = 4, 1
Therefor, the answer is y = 4, 1.
Exploring Functions Part 2 - writing function rules
Construct a T-chart for each of the functions from the homework titled: Exploring
Functions Part 1. Be sure to determine the value of the function at step 0 and
put this in the table too.
Function 1
n f(n)
Function 2
n fin)
Function 3
n f(n)
Function 11
72 f(n)
Function 12
n f(n)
Function 13
n fin)
1
1
1
1
1
2
2
2
2
2
3
o w NA
3
3
3
4
4
4
4
4
4
5
5
S
5
5
:
10
10
10
10
10
10
17
17
5
17
17
17
17
7
12
72
72
72
n
Function 14
Function 15
Function 16
Function 4
72 f(n)
Function 5
n f(n)
Function 6
n f(n)
Answers
Answer:
Exploring Functions Part 2 - writing function rules Construct a T-chart for each of the functions from the homework titled: Exploring Functions Part 1. Be sure to determine the value of the function at step 0 and put this in the table too. Function 1 n f(n) Function 2 n fin) Function 3 n f(n) Function 11 72 f(n)
Plz help me i have been askingthis question too much
Answers
Answer: 1) 4 1/12
2) 3 11/15
Step-by-step explanation:
PLSSSSSSS HELPPPP ASAPPPP
Answers
Answer:
b
Step-by-step explanation:
figure 1 is maped to figure 2. check the difference
Original Price
Percent of Discount
Sale Price
$20
20%
1.
$95
35%
2.
T
75%
$55.50
3.
40%
$78
4.
Blank?
40%
$78
Answers
Answer:
1. $16
2.$61.75
3. $222
4.$130
Step-by-step explanation:
1. 20% of $20 is $4.
$20-$4=$16
2. 35% of $95 is $33.25.
$95-$33.25=$61.75
3. $55.50 divided by 1-.75=222
4. $78 divided by 1-.40=130
Hope this helped :)
please help me with this question
Answers
Answer:
The third equation
Erin buys a bag of peanuts that weighs 3/4 of a pound later that week the bag is 2/3 full how much dose the bag of panuts wiegh now
Answers
Answer:
1 ÷ 2 pounds
Step-by-step explanation:
The computation is shown below:
As we know that
1 pound = 0.454 Kg
Peanut starting weight = 3 ÷ 4 of a pound.
In the case when the bag is 2/3 full, so the weight is
= 2 ÷ 3 × 3 ÷ 4
= 1 ÷ 2 pounds
Please help me solve this answer! :)
Answers
Answer:
2,912 People
Step-by-step explanation:
12% of 2,600 is 312
add 312 to 2,600
end up with
2,912 People
Answer:
2,912 is the amount of people (population)
Step-by-step explanation:
12% of 2,600 = 312
so
2,600 + 312 = 2,912
Plz mark as brainliest if correct! Have a nice day!!!
-Lil G
what is the answer to x + 12=7 solve for x
Answers
7-12=-5
Answer:
x+12=7
x=7-12
x= -5.........
A Japanese bullet train travels 558 miles in 3 hours.
A.Whatbis the rate?
B.How far does the train travel in one hour. I really need the answers plz help.
Answers
Answer:
the rate is 186/1
and it travels 186 miles in 1 hour
Step-by-step explanation:
558/3
to get miles per hour
186/1
(that is what you get when you divide)
A fair coin is flipped 4 times. It lands facing heads up 3 out of 4 times. The probability of a fair coin landing heads up on one flip is 0.5. Select the statement that gives the most explanation for why the observed frequency is different than the predicted probability." The kind of coin used is to heavy. O The total number of coin flips is small. O The coin had heads on both sides. The probabilities 3/4 and 1/2 have different denominators.
Answers
Answer:
The total number of coin flips is small.
Step-by-step explanation:
The greater the number of events, the more likely the outcome will match the expected probability.
sharon is buying a cirlcle rug the diameter of the rug is 14 feet what is the area of the rug
Answers
Answer:
153.86
Step-by-step explanation:
To find the area of a circle, we use the formula [tex]\pi r^{2}[/tex].
d=14
r=d/2
r=7
[tex](3.14)(7^{2} )[/tex]
153.86
Please help me please please ASAP ASAP please ASAP
Answers
Answer:
47 degreesStep-by-step explanation:
So m<ABD = 47 degrees
It appears to be congruent to m<BAC, so we can infer that it is 47 degrees
Hope that helps!
What is the equivalent to 10:4?
Me
Answers
Answer:
5:2 is the simplest form but 20:8 also works
Step-by-step explanation:
Kijuan needs to buy eggs to make breakfast for the next week. Each carton of eggs holds 12 eggs. Which of the following equations represents the
relationship between the number of eggs that Kijuan will have, y, and the number of cartons he buys, X
A. y = 12x
B. y = 12 + x
C. y: 12
D.y = 12 - x
Answers
Answer:
A. y = 12x
..................
Help me with me With this!!!
Answers
Answer:
1
Step-by-step explanation:
1 is in the middle of v and w.
7.5583 x 10^4 - 7.2301 x 10^4
Answers
Mary and Frank combine the marbles into one bag to do an experiment where they pick a marble from a bag and toss a coin. In the table below, they have recorded the outcomes of each event. What is the experimental probability that the coin lands on tails and a yellow marble? Show your work!
Answers
Answer:if We should put it in a decimal it’s 0.1 as a fraction it’s 11/110
Step-by-step explanation: You have to add all the numbers from the table and then add 11 wich makes it 11/110 you also add 11 beacahss it’s how many times yellow has landed on tails hope I am right
Does it typically rain more in the United States or in Brazil?
Choose 1 answer:
Statistical
Not statistical
Answers
Answer:
I believe not statistical.
Step-by-step explanation:
The circumference of a circle is m. What is the area , in square meters ? Express your answer in terms of pi
Answers
Answer:
area = m²/2π
Step-by-step explanation:
∵ circumference of circle = 2πr = m
∴ r = m/2π
∵ area of circle = πr²
∴ area of circle = (m/2π)² × π = m²/2π² × π = m²/2π
hope this helps
slope = -3; y-intercept = 2
Answers
Answer:
y= -3x+2
Step-by-step explanation:
Bella has 8 pies and she can make 2 pies an hour. Tina has 2 pies and she can make 3 in an hour. How many hours will it take for Tina to have as many pies as Bella?
Answers
Answer:
6 hours
Step-by-step explanation:
subtract 3x²-5x+7from5x²-7x+9
Answers
Answer:
[tex]2x^2-2x+9[/tex]
Step-by-step explanation:
[tex]5x^2-7x+9-3x^2+5x\\=5x^2-3x^2-7x+5x+9\\= 2x^2-2x+9[/tex]
A father is 40 years older than his daughter. 3 years ago he was 5 times older from his daughters age. What are their current ages?
Answers
Answer:
daughter is 13 and father is 53
Step-by-step explanation:
father-> x+40
daughter->x
x+40-3=5(x-3)
x+37=5x-15
52=4x
x=13
x+40=13+40=53
the daughter is 13 and the father is 53 years old.
Help me please !!!!! I need help
Answers
10 percent of 300 is 30
3 hours and 10 minutes =190
What is BC? Plz help
Answers
Answer and Step-by-step explanation:
To find the length of BC, we will be using the trigonometric function Sine.
The Sine trig function is as follows:
sin(θ) = [tex]\frac{Opposite Side}{Hypotenuse}[/tex]
Plug in the values and solve for the Hypotenuse (BC)
[tex]sin(45) = \frac{8}{x}[/tex]
Multiply x to both sides, then divide both sides by sin(45).
x = [tex]\frac{8}{sin(45)}[/tex]
Input into a calculator and solve.
The length of BC is [tex]8\sqrt{2}[/tex], or 11.3137.
#teamtrees #PAW (Plant And Water)
A soccer team played 24 games and won 75% of
those games. How many games did the soccer
team win?
Answers
What is the answer? Please help
Answers
I used BEDMAS, first I simplified 3^2 and added it to 2 to get 11.
Then I divided 22 and 11 to get 2, and did 2+5 to get 7.
Then I just did 7+10 to get 17 :)
Hope this helps!!
I need help on c and s please.
Answers
Answer:
c) Circle 5 and 20, 10 and 40, 15 and 60, 20 and 80, and 25 and 100. When you multiply the top by 4, they all equal the bottom values.
d) The bottom compares to the top terms because you can divide them by 4 and they'll equal the top terms