The map of a biking trail is drawn on a coordinate grid. The trail starts at P(−6, 3) and goes to Q(3, 3). It goes from Q to R(3, −4) and then to S(6, −4). What is the total length (in units) of the biking trail?

Answers

Answer 1

Answer:

total length = 19 units

Step-by-step explanation:

Notice that the distance between the extremes of the first segment of the trail, is a horizontal segment of 9 units length.

The second segment from (3,3) to (3, -4) is  vertical one of length 3 - -4 = 7 units.

The third segment of the trail  from (3, -4) to (6, -4) is another vertical segment of length 6=3 = 3 units.

Therefore,the total length of the trail is 9 + 7 + 3 = 19 units


Related Questions

What is the equation of the line that passes through the point (2, -6) and has a
slope of -1?

Answers

Answer:

-6= -2 + b

Step-by-step explanation:

Following the y=mx+b forumla

Y= -6 the y coordinate given

MX= the slope (-1) and the x coordinate (2) you multiply them ( -1 * 2) and you get -2

B= you have nothing for b since you do not know the y-intercept

Answer:

[tex]y=-x-4[/tex]

Step-by-step explanation:

Since we already know that the slope is [tex]-1[/tex] we can use this formula to solve for the y-intercept: [tex]b=y-mx[/tex]

b is the y-intercept

m is the slope of the line

x and y are a point on the line

[tex]b=-6-(-1)(2)[/tex]

[tex]b=-4[/tex]

The equation of the line is: [tex]y=-x-4[/tex]

plz mark me brainliest. ;)

In ΔQRS, RS = 16, SQ = 9, and QR = 15. Which list has the angles of ΔQRS in order from smallest to largest?

Answers

Answer:

[tex] \angle R < \angle S < \angle Q[/tex]

Step-by-step explanation:

In ΔQRS, RS = 16, SQ = 9, and QR = 15.

From above info it is obvious that:

SQ < QR < RS

In a triangle, angle opposite to smallest side is smallest and angle opposite to largest side is largest.

Therefore,

[tex] \angle R < \angle S < \angle Q[/tex]

QUESTION 7
Which of these pairs of points has a slope undefined ?
Check all applied.
(-1,0) and (-1, 1)
(3,9) and (3, 1)
(0,9) and (1, 1)
(8,9) and (8,1)

Answers

Answer:

This would be a, b, and d.

Step-by-step explanation:

When graphed, the slope line of each of these would look like a straight vertical line, meaning their slope would be undefined. There has to be a change in x to create a defined slope.

HELP!!!!!The equation C= 5n represents the cost C
in dollars for n caps that advertise the walkathon. Which of the
following ordered pairs could represent a number of caps and the
cost for that number of caps, (n, C)?
A. (0,5)
B. (3, 15)
C. (15,60)
D. (5,1)

Answers

if C=5n then the Y-intercept (C) is 5 times as much as the X and since 15/3 is 5 the answer is B

.

Andrés va a colocar piso

a su cuarto, si el cuarto mide

3.7m de ancho por 4.5m de

largo y cada caja de piso

alcanza para 1.54m2. ¿Cuántas

cajas de piso va a necesitar?

Answers

Responder:

11

Explicación paso a paso:

Dado que:

Dimensión de la habitación = 3,7 m por 4,5 m

Área de la habitación:

Largo * ancho

Los 3.7m * 4.5m

= 16,65 m²

Área de la caja de piso = 1.54m²

Número de cajas de suelo necesarias:

Área de la habitación / área de la caja de piso

16,65 m² / 1,54 m²

= 10,812

= 11 cajas de suelo

For matinee at a local theater, adult tickets cost
$6 and kids under 12 pay only $4. Ninety
tickets were sold for a total of $428. Which
system of equations correctly represents this
problem if you let a represent the number of
adult tickets sold and k represent the number of
kid tickets sold.

Answers

Answer:

Step-by-step explanation:

6X + 8Y - 4Z = 5 1X + 2Y + 5Z = 9 9X - 3Y + 3Z = 6 resolverlo por metodo de Gauss jordan

Answers

Responder:

x = 4.48

y = 4.86

z = -1.04

Explicación paso a paso:

Dadas las ecuaciones simultáneas;

6X + 8Y - 4Z = 5 .... 1

1X + 2Y + 5Z = 9 ... 2

9X - 3Y + 3Z = 6 .... 3

Primero necesitamos reducir el sistema de ecuaciones

Ecuación 1 * 1

Ecuación 2 * 4

__________

6X + 8Y - 4Z = 5

4X + 8Y + 20Z = 36

Restar

6x-4x - 4z-20z = 5-36

2x-24z = 31 ... 4

también

ecuación 2 * 3

ecuación 3 * 2

_______________

1X + 2Y + 5Z = 9 * 3

9X - 3Y + 3Z = 6 * 2

_______________

3x + 6y + 15z = 27

18x - 6 años + 6z = 12

Agregar

3x + 18x + 15z + 6z = 27 + 12

21x + 21z = 39 ...... 5

Resolviendo 4 y 5

2x-24z = 31 ... 4 * 21

21x + 21z = 39 ...... 5 * 2

____________

42x - 504z = 651

42x + 42z = 78

Sustraer

-504x - 42z = 651-78

-546z = 573

z = -573/546

z = -1.05

Sustituye z = -1.05 en 4

De 4;

2x-21z = 31

2x - 21 (-1,05) = 31

2x + 22,04 = 31

2x = 31-22.04

2x = 8,96

x = 8,96 / 2

x = 4,48

Obtener y

De 2:

X + 2Y + 5Z = 9

4.48 + 2y + 5 (-1.04) = 9

2 años + 4,48-5,2 = 9

2y = 9 + 0,72

2 años = 9,72

y = 9,72 / 2

y = 4,86

Por tanto, la solución (x, y, z) es (4.48, 4.86, -1.04)

Joseph buys 3/4lb of cheddar, 3/5lb of provolone, and 7/9lb of Gouda. Which type of cheese did he buy in the greatest amount

Answers

Joseph bought more Gouda.
Joseph bought more Gouda cheese

suppose you deposit $1000 in a savings account that pays 4.8% interest compounded monthly. Write an exponential function to model the amount of money in your savings account. How much will you have in your account after 2 years?

Answers

Answer:

The exponential function is [tex]A(t) = 1000(1.004)^{12t}[/tex].

You will have $1,100.55 in the account after 2 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Deposit $1000 in a savings account that pays 4.8% interest compounded monthly.

This means that [tex]P = 1000, r = 0.048, n = 12[/tex]. So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(t) = 1000(1 + \frac{0.048}{12})^{12t}[/tex]

[tex]A(t) = 1000(1 + 0.004)^{12t}[/tex]

[tex]A(t) = 1000(1.004)^{12t}[/tex]

This is the exponential function

How much will you have in your account after 2 years?

This is A(2). So

[tex]A(2) = 1000(1.004)^{24} = 1100.55[/tex]

You will have $1,100.55 in the account after 2 years.

I will give brainiest for the correct answer

Answers

On the right hand side it should be m(x-x1)
Y-4=-3(x-5)
Y=-3x+19

Estimate each sum or difference 7 1/9 + 8 2/5

Answers

Answer:afvStep-by-step explanation:

Give the location of Bern as an ordered pair (x, y)

Answers

Answer:

(3,-4)

Step-by-step explanation:

Yaaaaaaaaaaa a a a

Answer:

(3,-4)

Step-by-step explanation:

x axis goes first y axis second

carl is remodeling his kitchen. on his plans, the kitchen island is 4 inches long. if the actual kitchen island will be 9.2 feet long, what was the scale used to create the drawing?​

Answers

Answer:

one inch on the plan represents 2.3 feet in real life

Step-by-step explanation:

Set up a proportion

[tex]\frac{4}{9.2} \\[/tex]=[tex]\frac{1}{x}[/tex]

[tex]4x=9.2[/tex]

[tex]x=2.3[/tex]

If h = 19 inches, l = 28 inches, and w = 14 inches, what is the area of the figure shown above? A. 665 square inches B. 658 square inches C. 308 square inches D. 924 square inches

Answers

Answer:

Wouldn't it be 7448?

Step-by-step explanation:

I multiplied 19 x 28 x 14 and got 7448?

Would y^10/y^10 become 1?

Answers

Answer:

yes

Step-by-step explanation:

If you are dividing it will become 1 because 10 minus 10 equals 0. Anything to the power of 0 is 1 then you keep the base which is y so the answer is y

If you are multipling the answer will be y^10  because 10 plus 10 is 20 and you keep the base which is y

someone help please show work

Answers

Answer: m=18

Step-by-step explanation:

Can y’all help me on question five?!

Answers

b. 15:2

hope this helped!

Answer:

it is option A hope it helps

A diver jumps from a platform diving board that is 32 feet above water. The height , h of the diver above water , in feet, t seconds after jumping from the platform , can be determined by the equation h=-16t^2+20t+32. Determine the diver's height above water 2 seconds after jumping from the platform.
CAN SOMEONE HELP ME OUT PLEASE!!!!!!!!!!

Answers

Answer:

h=8

Step-by-step explanation:

h = -16t^2 + 20t + 32

h = -16(2)^2 + 20(2) + 32

h = -16(4) + 40 + 32

h = -64 + 72

h = 8

Answer:

2 seconds

Step-by-step explanation:

i got it right, no explanation <3

Identify the correct table for the following equation: Y=3x + 7 ( look at the picture for answer choices )

Answers

Answer:

The first choice is the right answer.

Step-by-step explanation:

Y = 3x+7

First choice

y = 3(0) + 7 = 7

y = 3(1) + 7 = 10

y = 3(2) + 7 = 13

second choice

y = 3(7) + 7 = 28. output on table shows 0

third choice

y = 3(0) + 7 = 7

y = 3(1) + 7 = 10 doesn't work as y output in third choice says 8

fourth choice.

y = 3(7) + 7 = 28 output on table shows 0

what muiltupication will give you 1600​

Answers

Answer:

5 x 320

Step-by-step explanation:

5 x 320 = 1600

djdjjdndjdjjxjd

Answer:

800 x 2

I saw that this was your first question. Welcome to the Brainly Community

"Calculate the value of a in the triangle below." PLEASE HELP WILL GIVE BRAINLIEST

Answers

Using Pythagoras Theorem,

(12)^2+ (a)^2= (13)^2

144+a^2= 169

a^2= 169-144

a^2= 25

a= √25

a= 5mm

Hope it helps you.

A number
consisting of
two digits whose sum is 9.
If three times the number is
equal to eight times the
number formed by interchanging
the digits, find the number.​

Answers

Answer:

let the unit digit be x

and the tens digit be y

so x+y = 9 ---> y = 9-x

the number is 10y+x

the number reversed is 10x + y

3(10y+x) = 8(10x + y)

30y + 3x = 80x + 8y

22y = 77x

2y = 7x

2(9-x) = 7x

18 - 2x = 7x

18=9x

x=2

y=7

the number is 72

check:

number is 72

reverse is 27

is 3(72) = 8(27)

Evaluate the expression when x=4 and y+-6.

x-5y

Answers

Answer:-26

Step-by-step explanation:

15 cm
11 cm
Find perimeter

Answers

Answer: 52 cm

Step-by-step explanation: 15+15=30 11+11=22 30+22=52

Answer:

52 cm (?)

Step-by-step explanation:

I'm assuming this is a rectangle.

you take each of the sides(with rectangles, two of each sides will have the same length) and add them together.

15 + 15 + 11 + 11 = 52

Ira and his wife's monthly payment included $1,256.61 for principal and interest, as well as
one twelfth of the annual property taxes of $3,478.50 and one twelfth of the annual
insurance premium on the property of $1,186. What will the total monthly payment be?

Answers

Answer:

its 1,645.32

Step-by-step explanation:

search one twelfth of 3,478.50, then one twelfth of 1,186 and add those answers with 1,645.32

Help please. Im confused

Answers

Answer:

5x- 9 is your expression

Step-by-step explanation:

Decreased means subtraction and the product of any two numbers is multiplication.

Division Keyword: Divided by, or Quotient of.

Multiplication Keyword: Product of, or Multiplied by.

Subtraction Keyword: Subtracted from, or Decreased by.

Addition Keyword: Added to, or Increased by.

If there is no Variable then place the common Variables: X, Y, Z.

Answer:

The expression is 5x-9.

Step-by-step explanation:

Product means to multiply, so you will multiply 5 and x which equals 5x

Decreased means subtracting, so you will subtract 9

Round 8265 to the nearest ten?

Answers

8270



Step by step explanation:

Estimate the sum or difference.
7/8-1/5

Answers

Answer:27/40

Step-by-step explanation:

7/8-1/5  

35/40-8/40=27/40

-67 = 6x - 1

Find x please!​

Answers

Answer:

X=-11

Step-by-step explanation:

-67+1=6x

6x=-66

x=-11

you cancel the 1 from the right side and add it to the left then divide -66 by 6

the answer is -11

HELP pls il give brainlyst plsss

Answers

Answers:

Problem 1) 25 milesProblem 2) 3 hoursProblem 3) They are cycling the fastest from 10:00 a.m. to 10:30 a.m.

============================================================

Explanations:

The vertical axis, aka y axis, tells us how many miles are traveled. The highest it goes is y = 25, which is the number of miles traveled. They reach this marker at 1:00 p.m.The timespan from 10:00 a.m. to 12:00 p.m. is 2 hours (since 12-10 = 2). Then from 12:00 p.m. to 1:00 p.m. is an extra hour. In total, they traveled for 2+1 = 3 hours.They are cycling the fastest when the distance/time graph is steepest. Recall that the slope represents the speed when x is the time and y is the distance. This is because speed = distance/time. Apply the slope formula to the various different pieces and you should find the slope is largest from 10:00 a.m. to 10:30 a.m. The speed here is 20 mph. The next section has a speed of 10 mph. They then take a rest from 11:30 a.m. to 12:00 noon due to the flat horizontal portion here. The last section has a speed of 5 mph.
Other Questions
The process plants use to make sugar for food The winner of a raffle will receive a new car. If 10,000 raffle tickets were sold and you purchased 26 tickets, what are the odds against your winning the car? (Do not reduce your answer.)a26 : 9974 b26 : 10000 c10000 : 26 d9974 : 26 Gastric juice contains ______________________, an enzyme that breaks down protein, and ______________________ ______________________. 9. Ais an example of an organism that performsphotosynthesis.Help plz I NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! A recipe for 15 bran muffins calls for 1 cup of flour. The number of muffins that can be made varies directly with the amount of flour used. There are 3 2/3 cups of flour available. How many muffins can be made? 2. How do gene splicing and gene therapy differ? How are they alike? Only respond if you can actually help). Writing Assignment: Foodborne Pathogens. [ Instructions-----> Using examples from your own home, define the types of foods you typically eat that would have the highest risk for Foodborne Pathogens. What types of pathogens would they be? What habits in your food preparation practices might increase these pathogens' growth? What habits can you change in your life to reduce your rish of foodborne illness? Write a 300 word essay on what you have learned. Needs an introduction that states your thesis. End with a strong conclusion where you summarize and restate your thesis. ( Will Mark Brainliest and give 5 ). Need two responses and please please be honest with your responses. ( The term " Foodborne" means that the carrier for the organism is some food source like Meat, Fruit, A Casserole, Eggs: whatever the organism comes in contact with. Why might Barbara's doctor suspect hypothyroidism? Why was that not accurate? I really need help with this plz Aside from the disappearance of their mothers, in what way are Sal and Phoebe different? Which shows a correct way to find the product?(8)(0.09)(125) A. (8)(0.09)(125) = (8)(125)(0.09) = (1,000)(0.09) = 90 B. (8)(0.09)(125) = (8)(125)(0.09) = (1,000)(0.09) = 90 C. (8)(0.09)(125) = (8)(125)(8)(0.09) = (1,000)(0.72) = 720 D. (8)(0.09)(125) = (8)(125)(8)(0.09) = (1,000)(0.72) = 720 The diagram represents an atom of sodium combined chemically with one atom of chlorine to form a sodium chloride molecule. Sodium Chloride is an example of 3 Solve the inequality -- X + 6 >-3 4 Ox>-2 0x 12 0x< 12 Help please help me I dont know the answer Ill mark as Brainlyiest if right Sedimentary rocks can be made of particles from which of the following?-Sedimentary-Metamorphic-Igneous-all of the above. Forms across a plant cell during cytokinesis.A. cleavage furrowB. pinching inC. cell plate Repost I need this rn its important PLEASE HELP ME. There are only two choices. A. A man, whose mother probably died when he was young, describes how Ethiopian food reminds him of his mother.B. A man described how sad he is because he has never seen a picture of his mother. If four bicycle lamps cost 24 how much would seven lamps cost?