The trail starts at P(−7, 6) and goes to Q(4, 6). It goes from Q to R(4, −6) and then to S(6, −6). What is the total length (in units) of the biking trail?
We know, distance between two points A( p,q) and B(r,s) is given by :
[tex]AB=\sqrt{(p-r)^2+(q-s)^2}[/tex]
So, distance between P an Q is :
[tex]PQ=\sqrt{(-7-4)^2+(6-6)^2}\\\\PQ=11\ units[/tex]
Distance between Q and R is :
[tex]QR=\sqrt{(4-4)^2+(6-(-6))^2}\\\\QR=12\ units[/tex]
Distance between R and S is :
[tex]RS=\sqrt{(4-6)^2+(-6-(-6))^2}\\\\RS=\sqrt{4}\\\\RS = 2\ units[/tex]
Therefore, total distance is 11 + 12 + 2 = 25 units.
Hence, this is the required solution.
slope for (1,-1) (-1,-2)
lol sorry
Answer:
m = 1/2
Step-by-step explanation:
Slope(m) = (y-y1)/(x-x1)
= (-1 - (-2))/(1 - (-1))
= (-1+2)/(1+1)
= 1/2
A submarine is traveling level at ¯75 feet below the surface of the sea. The Captain gives orders to dive the submarine to a depth three times their current level. What is the new cruising level?
Answer:
264 {feet}
below sea level
Step-by-step explanation:
Ascending means moving towards the surface.
So the submarine is 340 feet below sea level.
The submarine ascends 76 feet.
∴
340 − 76 =
264 below sea level.
Step-by-step explanation:
5) Contains (3,-1) and (6,- 13)
Help please
Answer:
The slope of the line is -12/3
Step-by-step explanation:
remember, rise over run
My I have brainliest please? :)
E (0,3), F (1,-1), G (4, 2), H (-1,3) what's EF? And What's GH?
Answer:
I'm assuming you want the distance between the two point
EF = [tex]\sqrt{17\\}[/tex]
GH = [tex]\sqrt{26}[/tex]
Step-by-step explanation:
There was 4/5 of a cake sitting on the counter. Daryl ate 1/3 of the left over cake. How much cake was left over after he ate?
Answer:
0.46 is the left over 23/50 is the fraction
The average attendance of a yearly Winter Wonderland exhibit at an amusement park is 2.8 × 10 5 people. How many people can be expected to attend over 4 years?
Answer:
1120000 attendees
Step-by-step explanation:
Given that:
Yearly Average attendance = 2.8 * 10^5 people
How many attendees can be expected to attend over 4 years
Average Yearly attendees * 4
(2.8 * 10^5) * 4
= 2.8 * 4 * 10^5
= 11.2 * 10^5
= 1120000 attendees
hope this pic helps.enjoy
¿Qué distancia recorre un móvil en 2 s cuando se le suelta de un edificio de 100 m de altura?
the answer is 50:::::::_::::::::
A twelve-hour clock is set at the correct time on the afternoon of May 17th. Somebody knocked the clock off the wall and now it loses 6 minutes per day. How much time will the clock be behind 3 weeks later?
Answer:
126 minutes (or 2 hours and 6 minutes)
Step-by-step explanation:
7 days in a week times 3 weeks = 21 days
6 minutes a day times 21 days = 126 minutes behind
can i please get some help
Answer: number 5 is A number 6 is B
Step-by-step explanation:
Choose the scenario that could be represented by :
A. Five pounds of oats are divided equally among eight horses.
B. Five friends, share eight cookies equally.
C. An eight-hour bus trip is divided into five equal parts.
D. An eight-foot ribbon is cut into five equal pieces.
Answer:
The answer is A
Step-by-step explanation:
I took the test
Answer:
The answer is A
Step-by-step explanation:
I took the test too
WILL GIVE BRAINLIEST !!!
Find the equation of the line. Use the exact numbers.
Equation: y = __x + __
Answer:
Step-by-step explanation:
y=2/3x+4. 4 is the y intercept. 2/3 is the slope. y=mx+b where m is the slope and b is the y intercept
hello quick question because i am dumb and dont know how to explain things just need some clarification
how do you tell if a domain is continuous or discrete on a table not a graph •~•
Step-by-step explanation:
gegsbdqneyqillzfjmtucznYEmdnfhhthtej62wrr334tyyytyyttffgfrwgeyeyiqlstl7o4a1
9514 1404 393
Answer:
The domain is always discrete when it is found from a table.
Step-by-step explanation:
A table necessarily lists a finite number of discrete points. The domain, as found from a table, is always discrete.
__
If the table is said to be a representation of a continuous function, then the domain of that continuous function will be continuous.
Your question seems to have to do with a table alone, not a table and an equation, or a table and a graph. A table (of points) alone cannot express a continuous domain.
__
Additional comments
One can conceive of tables that would have continuous domains, as, for example, a table with entries ...
(x, y) = (0 ≤ x < 3, 3x+2), (3 ≤ x < 6, 4x-1), ...
Such a table is not a list of points, but is a piecewise function definition. We presume this is not what you're concerned with.
Use two sets of coordinates to write an equation
to describe the relationship.
Answer/Step-by-step explanation:
An equation that describes the relationship can be written as [tex] y = mx [/tex].
Using the two sets of coordinates, (2, 140) and (4, 280), calculate the slope (m) as shown below:
[tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{280 - 140}{4 - 2} = \frac{140}{2} = 70 [/tex]
Substitute m = 70 into [tex] y = mx [/tex]
The equation would be:
[tex] y = 70x [/tex]
This equation can be interpreted as follows:
The heart's resting rate is 70 beats each minute.
The table shows data collected to represent the functional relationship between the number of hours an auto factory is open and the number of cars produced. A 2-column table with 5 rows. Column 1 is labeled x with Hours, x with entries 3, 5, 7, 9, 11. Column 2 is labeled Cars, y with entries 75, 125, 175, 225, 275. What is the domain of the function represented by the table? all real numbers x greater-than-or-equal-to 0 {3, 5, 7, 9, 11} {75, 125, 175, 225, 275}
Answer:its 3,5,7,9,11
Step-by-step explanation:i m pretty sure it's this one because I got it from briainly
Answer:
b
Step-by-step explanation:
i took the test and this was right
5star answer don't u think????
As a maintenance electrician, it takes you 40 minutes to rewire a motor. You have 6 motors to rewire.
At that rate, how many hours will it take you to rewire the motors?
2/3
4
6 2/3
180
240
Answer:
The maintenance electrician takes 287.555555566667 hours to to rewire all the motors
Step-by-step explanation:
1. Calculate all of the minutes for all the numbers.
It takes you 26.6666667 minutes to rewire 2/3 of a motor.
It takes you 160 minutes to rewire 4 motors.
It takes you 266.666667 to rewire 6 2/3 motors
It takes you 7,200 minutes to rewire 180 motors
It takes you 9,600 minutes to rewire 240 motors
2. Add all of the minutes together.
26.666667 + 160 + 266.666667 + 7,200 + 9,600 = 17253.333334
It takes you 17253.333334 minutes to rewire 431.333333 motors
3. Convert minutes to hours
17253.333334/60 = 287.555555566667
It takes you 287.555555566667 hours to rewire all the motors
Anyone know this pls help ill give brainliest :)
Answer:
30, 40, 60, 70,
Step-by-step explanation:
pattern by 10
For 3=30
4=40
6=60
7=10
Calculate the slope
50-20/5-2
10
What is the solution to this system of linear equations?
x + y = 4
x − y = 6
Answer:
x=5 , y= -1
Step-by-step explanation:
You can see that one of the y's is negative while the other is positive, so you can add them together.
Now, negative 1 + positive 1 = 0, so the y's cancel out leaving only the x's.
Remember you can't add one part without adding the other so x+x = 2x, and 4+6=10. This makes the final equation 2x=10.
You can simplify that into x=5. This gives you the answer for x
Then substitute x=5 into any of the two equations (doesn't matter) I'll use the first one. So if you substitute it you get 5+y=4.
Simplified, y= -1
Therefore, x= 5 and y=-1
Answer:
(5,-1)
Step-by-step explanation:
Got it right on edge cause of the guy above me
patricia wants to have her living room carpet cleaned she found three different companies that would clean the carpet for $198 the companies are each offering discounts on their carpet cleaning services
Answer:
company 1 final price: $148.5
company 2 final price: $168
company 3 final price: $132
thus, the best choice is company 3 because it costs the least and all services are the same
Step-by-step explanation:
company 1 is offering 25% off the price of their service
company 2 is offering $30 off the price of their service
company 3 is offering a 1/3 discount off the price of their service
the price of the cleaning is $198
company 1: 25% discount = 75% of the original price $198, which would be $198 * 3/4, or $148.5
company 2: $30 dollars off, which means $198 - $30 or $168
company 3: 1/3rd discount, meaning the product after the discount is only 2/3rd of the original price. 2/3rd of $198 is $132, so the final price after the discount is $132
what is 12 to the power of 0 simplified?
Step-by-step explanation:
the answer is 1
x^0 = 1
12^0 = 1
im not that sure
will mark brain list if answered correct) On this number line, zero represents sea level. Plot the following points based on the description provided.
• 1.5 above sea level
• absolute value of –4.5
• –2
• opposite of 4
• absolute value of 1
• 2.5 below sea level
• greatest common factor of 8 and 12
• –(–3)
• -3 1/2
• opposite of –5
Answer:
The points would be:
1.5
4.5
-2
-4
1
-2.5
4
3
-3.5
5
Step-by-step explanation:
What is the largest number of three consecutive integers whose sum is 42? O A. 13 B. 17 O C. 15 D. 12
Answer: 13
Step-by-step explanation:
3X + 3 - 3 = 42 - 3
3X = 39
3X/3 = 39/3
X = 13
Which means that the first number is 13, the second number is 13 + 1 and the third number is 13 + 2. Therefore, three consecutive integers that add up to 42 are 13, 14, and 15.
13 + 14 + 15 = 42
We know our answer is correct because 13 + 14 + 15 equals 42 as displayed above.
The units digit of a two-digit number is four more than the tens digit. If the number is doubled, it will be one more than the reversed number. Find the number. (Number: 32 Reversed number: 23)
Answer:
37
Step-by-step explanation:
2-digit number: 10x + y
y = x + 4
20x + 2y = 10y + x + 1
8y = 19x - 1
8x + 32 = 19x - 1
11x = 33
x = 3
Number: 37
Answer:
Answer:
37
Step-by-step explanation:
2-digit number: 10x + y
y = x + 4
20x + 2y = 10y + x + 1
8y = 19x - 1
8x + 32 = 19x - 1
11x = 33
x = 3
Number: 37
TIMED TEST WILL GIVE BRAINLIEST
During an algebra class, a teacher asks for examples of non-prime numbers. Jake says 51, Teresa says 41, and Liu says 21. Which student(s) are correct in their response?
Answer:
D. Jake and Liu
Step-by-step explanation:
41 is prime so Teresa is wrong. The other two are not prime.
The linear equation y = one-half x + 1 is represented by the graphed line. A second linear equation is represented by the data in the table. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 2, 4. Column 2 is labeled y with entries 7, 6, 5, 4. In which square is the solution located?
The correct answer is the letter D
Answer:
d
Step-by-step explanation:
cuz im a goddddd
Courtney walked from her house to the beach at a constant speed of 444 kilometers per hour, and then walked from the beach to the park at a constant speed of 555 kilometers per hour. The entire walk took 222 hours and the total distance Courtney walked was 888 kilometers.
Answer:
I suppose that each number is repeated 3 times, the actual question is:
Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour, and then walked from the beach to the park at a constant speed of 5 kilometers per hour. The entire walk took 2 hours and the total distance Courtney walked was 8 kilometers.
Now, remember the relation:
Distance = Speed*Time
Let's define:
D1 = distance between Courtney's house and the beach.
D2 = distance between the beach and the park.
T1 = time that it took the first walk.
T2 = time that it took the second walk.
We know that the total distance Courtney walked is 8km, then:
D1 + D2 = 8km.
And we also know that the entire walk took 2 hours, then:
T1 + T2 = 2h.
We also have the equations:
D1 = 4km/h*T1
D2 = 5km/h*T2.
Then we have a system of equations:
D1 + D2 = 8km
T1 + T2 = 2h
D1 = 4km/h*T1
D2 = 5km/h*T2.
To solve this, first let's replace equations 3 and 4 in the first equation:
4km/h*T1 + 5km/h*T2 = 8km
Now we have only two equations left:
4km/h*T1 + 5km/h*T2 = 8km
T1 + T2 = 2h
Now we can isolate one of the variables in the second equation and then replace it in the first equation, i will isolate T1:
T1 = 2h - T2.
Replacing this in the first equation gives:
4km/h*(2h - T2) + 5km/h*T2 = 8km
Now let's solve this for T2.
8km - 4km/h*T2 + 5km/h*T2 = 8km
8km + 1km/h*T2 = 8km
1km/h*T2 = 0
from this, we have T2 = 0
This would mean that T1 = 2h.
Then:
D1 = 4km/h*2h = 8km.
T2 = 0
D2 = 5km/h*0 = 0.
This happens because the numbers in the problem were not well thought.
You can see that when she spends the 2 hours walking at the smaller speed, she already reaches the total distance, then if she walked any amount of time at the larger speed, the total distance would be more than 8km.
Tantasic charges a reservation fee of 20$ and $1 per minute in a tanning bed. Bettersun charges no reservation fee but charges 2$ per minute. How many minutes will the price be the same
Answer:
The indifference point is 20 minutes
Step-by-step explanation:
Giving the following information:
Tantasic:
Reservation fee of 20$ and $1 per minute
Bettersun:
2$ per minute.
First, we need to structure both total cost formulas:
Tantasic= 20 + 1x
Bettersun= 2x
x= number of minutes
Now, we equal both formulas and isolate x:
20 + 1x = 2x
20 = 1x
20= x
The indifference point is 20 minutes
What would you do in order to write 1/5x +
1/3y = 9 in standard form?
please help im stuck and i dont have time
Answer:
a. [tex]3x^{2} \\\\[/tex]
b. [tex]5x+1[/tex]
Step-by-step explanation:
An adult ticket to a school play cost $5 and a student ticket cost $3. $460 dollars was collected and 120 tickets were sold. How many student tickets were sold?