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:
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.
Related Questions
Choose Yes or No to tell whether each value of p is a solution for this inequality.
10p – 8 ≥ 12
0 yes or no
1 yes or no
2 yes or no
3 yes or no
can you answer all 4 of please
Answers
1.) No
2.) No
3.) Yes
4.) Yes.
who knows this
A. cube root
B. square root
C. square
D. cube
Answers
Answer:
A. Cube root
Step-by-step explanation:
what is the answer to X - 8 < -2
Answers
Answer:
X>6
Step-by-step explanation:
X-8<-2
X<-2+8
X>6
because the sign changed from negative to positive, the inequality has to be flipped
Mrs. Villa bought 2 packages of buttons. Each package had a different number of buttons. The table lists the number of buttons of each color in each package.
Answers
Answer:
B
Step-by-step explanation:
By applying basic formula of probability we got that statement "The probability of randomly selecting a green or a black button from Package L is equal to the probability of randomly selecting a red button from Package M." is True
What is probability ?Probability means chances of an event to occur .
Probability = favourable outcome /the total number of possible outcomes.
Total button in package L= 50
Total button in package M= 30
(a)
Probability of selecting green or black button from package L= (8+7)/50
=15/50=3/10
Probability of selecting red button from package M=9/30 = 3/10
Hence statement is true
(b)
Probability of selecting black button from package L= 7/50
Probability of selecting black button from package L=8/50
Hence statement is false
(c)
Probability of selecting red button from package L=12/50=6/25
Probability of selecting green button from package M=6/30=1/5
Hence statement is false
(d) Probability of selecting yellow button from package L=10/50=1/5
Probability of selecting yellow or green button from package M=9/30=3/10
Hence statement is false .
By applying basic formula of probability we got that statement "The probability of randomly selecting a green or a black button from Package L is equal to the probability of randomly selecting a red button from Package M." is True .
To learn more about probability visit : brainly.com/question/24756209
Solve this math problem first you get a free crown!
13/19 - (-1/9)
A. -12/19
B. -14/19
C. 14/19
D. 12/19
Answers
Answer:
C. 14/19
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Could I have crown...? Trying to level up....
what is the slope of 6x + y = 60
Answers
Answer:
I believe the slope is -6
Step-by-step explanation:
You rearrange the equation to get y by itself
y = 60-6x
then you put the equation in slope intercept form
y = -6x+60
meaning -6 (m) is the slope
PLEASE HELP ASAP. Find x.
Answers
Answer:
2.98
Step-by-step explanation:
Answer:
x = 2.26
Step-by-step explanation:
PLEASE HELP!! ASAP!!
Answer the following question
1. Bejar is now known as the city of San Antonio. The author says, “ As one covers the distance from Béjar to this town, he will note that Mexican influence is proportionately
diminished “What cardinal direction can you assume he has traveled from Bejar to reach “This Town"?
2. why might the influence of the Mexican government and culture diminish the further away one travels from Bejar?
3. Terran discovered that the foreigners outnumber the Mexican by what ratio?
4. Who are the “foreigners” that Teran repeatedly refers to?
5. What does Teran predict could happen in Texas if the Mexican government does not strengthen its control over Texas?
Answers
Answer: 1.Twelve months have now elapsed since the first half volume of this work was offered to the public. The favourable reception it has experienced gives the Editor reason to hope that he has fulfilled the engagements which he came under at its first appearance, and is a powerful inducement to continue his utmost exertions to preserve and improve the character of the work. In the four volumes which are now published, several extensive and important original articles are introduced, which have not hitherto appeared in any similar collection, and had not even been previously translated into English. These materially contribute towards the ample information which was formerly announced, in the Preface to the first Volume, as a leading object in this Collection. In the subsequent parts of the work, every effort shall be made to fill up its several divisions with original articles of similar interest and equal importance.
Encouraged by a satisfactory and increasing sale, the progress of publication has been somewhat hastened, beyond what was originally promised in the Prospectus and Conditions; as the whole of the fourth Volume is now published, at the period when only its first half was to have appeared. It is intended to repeat this anticipation occasionally, by the publication of two numbers or half-volumes at once, when opportunity offers. While this may gratify one portion of our readers, it is not meant to preclude others from continuing to be supplied, as before, with the numbers or half volumes at regular intervals, in their own option.
2.As the population in Texas from the United States swelled, Mexican authorities grew increasing nervous. In 1827, the Mexican government sent General Manuel de Mier y Terán to investigate the situation. He warned that unless the Mexican government took timely measures, settlers were certain to rebel. Differences in language and culture, Terán believed, had produced bitter enmity between the colonists and native Mexicans. The colonists refused to learn the Spanish language, maintained their own separate schools, and conducted most of their trade with the United States.
3.While holding out the possibility of compromise, the Texans prepared for war. The provisional government elected Sam Houston, a former Tennessee governor, to lead whatever forces he could muster. Then in early 1836, a band of three hundred to five hundred Texans captured Mexico's military headquarters in San Antonio. The Texas revolution was under way.
4.Don Manuel de Mier y Terán: As It Affected Texas-Mexican Relations (Continued)
5. THEY MARCHED AN ARMY INTO TX TO STOP THE REBELLION. THE MEXICAN GOVERNMENT “DISOWNED” SANTA ANNA AND THE TREATY; IT DID NOT RECOGNIZE TX INDEPENDENCE FORMALLY UNTIL THE END OF THE MEXICAN AMERICAN WAR.
Step-by-step explanation:
What is $25.49 marked down 45% please help
Answers
Answer: $14.02
Step-by-step explanation:
Marked down by 45% means it will have a 45% percent discount.
Subtract 45% from 100% then multiply it by the amount .
100% - 45% = 55%
55% * 25.49 = 14.0195 Round it to the nearest hundredth to convert it to money.
14.0195 = 14.02
Write in slope intercept form given two points (1,2) and (-2,5)
Answers
How you solve this is y2-y1/x2-x1
So 5-2/-3-1 which would be -1
Gridded Response A basketball team scored 8 points more in its second game
than in its first. In its third game, the team scored 42 points. The total number of
points scored in the three games was more than 150. What is the least number of
points the team might have scored in its second game?
I need help!!!!
Answers
Answer:
51 points
Step-by-step explanation:
x+x+8+42>150
2x+50>150
2x>100
x>50
So, the least number is 51 which satisfies the inequality
Hope this helps plz hit the crown :D
a school is purchasing a new uniform for the badket ball team each uniform costs the school $44.00 the school pays a $70.00 flat shipping fee if the school spends $1,390.00 on the order, how many uniforms did they purchase
Answers
Answer:
30?
Step-by-step explanation: Sorry if this is wrong. I think this is thirty though.
Answer:
The answer is 30.
Step-by-step explanation:
1,390-70 is 1,320. 1,320 divided by 44 is 30.
What is the answer to y=-6x-3, -8x-3y=-1.
Answers
Answer:
x=−y/6− 1/2
x= 1−3y/8
hope it helps
Find the measure of one exterior angle of each regular polygon. Round to the nearest tenth if necessary
Answers
Answer:
40 degrees
Step-by-step explanation:
360/9=40
The solution is 40°
The measure of one exterior angle of a nonagon is is given by the equation A = 360°/9 and the measure of A is 40°
What is the sum of an exterior angle of a polygon?
The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon. The sum of an interior angle and its corresponding exterior angle is always 180 degrees since they lie on the same straight line
Sum of exterior angles of a polygon = 360°
Measure of each exterior angle = 360° / N
where N is the number of sides
Given data ,
Let the measure of each exterior angle be = A
Let the number of sides of the polygon be = N
Now , the polygon is a nonagon
So , the number of sides N = 9
Now , The sum of exterior angles of a polygon is 360°
So ,
The measure of each exterior angle is given by the equation 360° / N where N is the number of sides
Substitute the value for N in the equation , we get
The measure of each exterior angle = 360°/9
The measure of each exterior angle = 40°
Therefore , the value of A is 40°
Hence , the measure of each exterior angle is 40°
To learn more about exterior angles of polygon click :
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#SPJ2
Who wants a lot of points
then answer this
C=
5
9
(F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Answers
30% of Mr. Ken's paycheck goes toward taxes. If he made $1800 on his last paycheck, how much money went towards his taxes
Answers
Answer:
$540
Step-by-step explanation:
$1800 x 30% = 540
Which are correct statements regarding proofs? Select three options.
In a paragraph proof, statements and their justifications are written in sentences in a logical order.
A two-column proof consists of a list statements and the reasons the statements are true.
A flowchart proof gives a visual representation of the sequence of steps without justifications.
A flowchart proof is a visual way of describing the statements and reasons for a proof.
A two-column proof lists only the given information and what is to be proven.
Answers
Answer:
A. a two-column proof consist of a list of statements and the reasons the statements are true.
B. a flowchart proof gives a visual representation of the sequence of steps without justification.
D. a two-column proof list only the given information and what is to be proven.
Step-by-step explanation: This is the correct answer on Edge 2021, just took the quiz. Hope this helps. ^-^
The correct statements are:
In a paragraph proof, statements and their justifications are written in sentences in a logical order.
A two-column proof consists of a list of statements and the reasons the statements are true.
A flowchart proof is a visual way of describing the statements and reasons for a proof.
What is a flowchart?A flowchart is a graphical representation of a process, algorithm, or system that uses symbols, shapes, and arrows to depict the various steps and their interconnections.
We have,
In a two-column proof, each statement is listed in one column, and the justification for the statement is listed in a separate column.
A flowchart proof also provides a visual representation of the sequence of steps, but it includes justifications for each step.
So,
The following statements are incorrect:
A flowchart proof gives a visual representation of the sequence of steps without justifications.
A two-column proof lists only the given information and what is to be proven.
Thus,
The correct statements are:
In a paragraph proof, statements and their justifications are written in sentences in a logical order.
A two-column proof consists of a list of statements and the reasons the statements are true.
A flowchart proof is a visual way of describing the statements and reasons for a proof.
Learn more about flowcharts here:
https://brainly.com/question/14598590
#SPJ5
Luke and Matthew ran a lemonade stand on Saturday. They agreed that Matthew would get 60%, percent of the profit because the lemonade stand was his idea. They made a profit of 25$.
How much money did Matthew make?
Answers
Answer:
15 dollars
Step-by-step explanation:
Answer:He made $15
Step-by-step explanation:
Write a function to describe each arithmetic sequence
10, 14, 18, 22
Answers
Answer:
The function that describes the arithmetic sequence is A(n) = 4n + 6
Step-by-step explanation:
The formula of the arithmetic sequence is a[tex]_{n}[/tex] = a + (n - 1)d, where
a is the first term of the sequenced is the common difference between each 2 consecutive termsn is the position of the number∵ The terms of the sequence area 10, 14, 18, 22
∵ The first term is 10
∴ a = 10
∵ 14 - 10 = 4
∵ 18 - 14 = 4
∵ 22 - 18 = 4
∴ The common difference is 4
∴ d = 4
→ Substitute them in the formula above
∵ a[tex]_{n}[/tex] = 10 + (n - 1)4
∴ a[tex]_{n}[/tex] = 10 + n(4) - 1(4)
∴ a[tex]_{n}[/tex] = 10 + 4n - 4
→ Add the like terms
∵ a[tex]_{n}[/tex] = 4n + (10 - 4)
∴ a[tex]_{n}[/tex] = 4n + 6
→ Write it in the form of the function A(n)
∴ A(n) = 4n + 6
∴ The function that describes the arithmetic sequence is A(n) = 4n + 6
total of 640 tickets were sold for the school play. They were either adult tickets or student tickets. There were 60 fewer student tickets sold than adult tickets.
w many adult tickets were sold?
Answers
380 adult tickets.
640 divided into the sub categories of student and adults would be 320. at this point you don't even have to do any of the math for students because you already know there would be 60 less student tickets so you can just add the 60 to 320 for adults. So 380
I have absolutely no clue what I’m doing here please help
Answers
Answer:
Well you have to just do the thing
Step-by-step explanation:
Because of how A intersects with y7
If the park is shown as a square on the map, each side of which is one foot long (12 inches), how long is each side of the square park in real life? Show your thinking and solution.
Answers
hiStep-by-step explanation:
In rectangle PLAN, PT = x + 3 and TL = 3x - 11. What are the lengths of PA and NL?
Answers
Answer:
PA = 20 units
NL = 20 units
Step-by-step explanation:
Property of a rectangle,
"Diagonals of a rectangle are equal in measure and divide each other in two equal parts"
By using this property,
PT = TL
(x + 3) = (3x - 11)
3x - x = 11 + 3
2x = 14
x = 7
Length of PT = (x + 3) = 10
Length pf PA = 2(PT) = 20 units
Length of NL = PA = 20 units
PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ HELP ME
Answers
Answer:
with what doe like if you need help you need to say
Answer:
theres no attatchment lol
Step-by-step explanation:
..................................
......
Answers
3x + 2 = 11 what is x?
Answers
Answer:
x = 3
Step-by-step explanation:
3x + 2 = 11
-2 -2
3x = 9
÷3 ÷3
x = 3
Answer:
x=3
Step-by-step explanation:
3x+2=11
3x=11-2
3x=9
x=9/3
x=3
answer answer now please
Answers
Answer:
Well we can't answer it because you have to draw it on the graph
Step-by-step explanation:
The manager of a store orders bookcases that cost $16 and sells them for $20. What is the
mark-up percentage?
Answers
Answer:
25 percent
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
ndld
Does anyone know the answer?
Answers
Answer:
D
Step-by-step explanation:
The start of the graph is when her first got the used trust, so when he first gets it he has 4000 miles and he uses more depending on the months. Hope this helped.
If f(x)=x^2+3x-10, then f(10)=?
Answers
Answer:
f(10) = 120
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = x² + 3x - 10
f(10) is x = 10
Step 2: Evaluate
Substitute: f(10) = 10² + 3(10) - 10Exponents: f(10) = 100 + 3(10) - 10Multiply: f(10) = 100 + 30 - 10Add: f(10) = 130 - 10Subtract: f(10) = 120