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

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

Can y’all help me on question five?!

Answers

b. 15:2

hope this helped!

Answer:

it is option A hope it helps

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.

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

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

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

Answers

Answer:afvStep-by-step explanation:

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.

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

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]

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)

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:

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

"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.

.

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

what muiltupication will give you 1600​

Answers

Answer:

5 x 320

Step-by-step explanation:

5 x 320 = 1600

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Answer:

800 x 2

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

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

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. ;)

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

someone help please show work

Answers

Answer: m=18

Step-by-step explanation:

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

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)

-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

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

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

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

Round 8265 to the nearest ten?

Answers

8270



Step by step explanation:

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

x-5y

Answers

Answer:-26

Step-by-step explanation:

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.

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