Answers
Answer:
P1P2 = P1P3 = 2√2P2P3 = 4isosceles right triangle (both)Step-by-step explanation:
The length of a side can be found using the distance formula:
d = √((x2 -x1)^2 +(y2 -y2)^2)
For P1P2, this gives ...
d = √((0-(-2))^2 +(1-(-1))^2) = √(4+4) = √8
P1P2 = 2√2
__
The same ∆x and ∆y apply to P1P3, so we know ...
P1P3 = 2√2
__
The lengths of P1P2 and P1P3 are the same, so the triangle is isosceles.
__
The length of P2P3 can be found by subtracting the y-coordinates:
P2P3 = 1 -(-3)
P2P3 = 4
__
We note that the slope of P1P2 is 2/2 = 1, and the slope of P1P3 is -2/2 = -1. The product of these slopes is (1)(-1) = -1, so we know those lines are perpendicular. The triangle is a right triangle.
Related Questions
What is the answer to x-41.5=13.5
Answers
Answer: 55
Step-by-step explanation:
just add 41.5 on 13.5 and that is x
Answer: X=55
Step-by-step explanation:
First, you want to move the constant, -41.5, to the right-hand side and change the sign. You now have an equation of x=13.5+41.5.
You are now going to add 13.5 and 41.5, getting 55, which is your answer. Hope this helps!
If you were to measure a person once a year, every year, from the ages of ten to twenty-five, would your ordered pairs of age and helght represent a function? по O yes
Answers
A pet store has cats. Here are their weights (in pounds).
8, 5, 14, 12, 7
Find the mean weight of these cats.
If necessary, round your answer to the nearest tenth.
Answers
Answer: 9.2
Step-by-step explanation: 8+5+14+12+7. = 46
46÷5= 9.2
It was Robin's birthday and she knew she was going to have a good day. She was driving to work, and when she turned on the radio, her favorite song was playing. Besides, the traffic light at the main intersection she crossed to get to work was green when she arrived, something that seemed to happen less than once a week. When she arrived at work, rather than having to search as she usually did, she found an empty parking space right in front of the building. Identify three random circumstances in the story, and give the possible outcomes for each of them. (Select all that apply.)
Answers
Answer:
1.Random circumstance: Color of traffic light when Robin approaches the main intersection. Possible outcomes: Traffic light is green when Robin arrives, or Traffic light is not green when Robin arrives.
2.Random circumstance: Song on the radio when first turned on. Possible outcomes: Robin's favorite song is playing, or Robin's favorite song is not playing.
4.Random circumstance: Nearest available parking space. Possible outcomes: Robin finds an empty parking space in front of the building, or Robin does not find an empty parking space in front of the building.
Step-by-step explanation:
A random circumstance is one whose outcome cannot be predicted because we either do not have the full details of the matter or it has not been confirmed yet by a reliable source. In the short description of events provided above;
1.The color of the traffic light is unpredictable because it is not under the control of the drivers but is automated.
2. Robin's favorite song playing on the radio is a random circumstance because she has no control over what song is played. So, she might as well have tuned in and it would be her least favorite song playing.
3. Robin driving into the office and finding the parking space empty is a random circumstance because it is not predictable. She might have come in and found the entire space filled.
WILL GIVE BRAINLIEST!! What is the y-intercept of a line that has a slope of 3 and passes through point (4, 8)?
Answers
Answer:
-4
Step-by-step explanation:
If we set up the equation with the known info, we get y=3x+b
We can then use the ordered pair to plug in, so 8=12+b
Now, simply solve for B, and you get -4
What is the largest three-digit number divisible by 24 and 54?
Answers
Answer:
The largest three-digit number divisible by 24 and 54 is:
864Step-by-step explanation:
To identify the largest number what I did was dividing 999 (the largest whole three-digit number of all) in the first number given (24):
[tex]\frac{999}{24}=41.625[/tex]With this number, you know that you must multiply 24 by a number like 41 or less until you find a number that can be divisible by 54 and obtain a whole number, so:
24*41= 984/54= 18.22 (how the number obtained is not a whole number, this is not the correct).24*40= 960/54= 17.77 (this is not).24*39= 936/54= 17.33 (this is not).24*38= 912/54= 16.88 (this is not).24*37=888/54= 16.44 (this is not).24*36= 864/54= 16 (This is the correct).Now, you have identified that the number 864, you can prove it by dividing this in 24 and 54:
[tex]\frac{864}{24}=36[/tex][tex]\frac{864}{54}= 16[/tex]
Please find angle q. Thank you!
Answers
the angle you are looking for is 9
HELP NEEDED ASAP MATHS PLEASE!!!
Answers
a) f(3) = 3 + 1 which equals: 4.
so, f(3) = 4
b) g(3) = (3)^2 - 3 which equals 9 - 3, which equals 6.
so, g(3) = 6.
hope this helps! (:
Financial advisors counsel young people to start saving early for their retirement. Explain why an early start is important.
Answers
Answer:
The more money you invest and the earlier you start means your retirement savings will have that much more time and potential to grow and investing early you can be able to take advantage of compound earnings.
Step-by-step explanation:
Please ill give brainliest and all my points just help me
Answers
ANSWER:
Minivan
EXPLANATION:
To determine the unit rate, take the miles and divide by the gallons
Truck:
120 miles / 8 gallons = 15 miles per gallon
Minivan:
180 miles /10 gallons = 18 miles per gallon
The minivan travels more miles per gallon
ANSWER:
Adam
EXPLANATION:
To determine the unit rate, take the charge and divide by the acres
Joshua:
$40 / 2 acres = $20 per acre
Adam:
$30 / 1.2 acres = $25 per acre
Adam charges more per acre
ANSWER:
Ellen
EXPLANATION:
To determine the unit rate, take the seconds and divide by the meters.
Ellen:
28 seconds / 200 meters = .14 seconds per meter
Lindsay:
60 seconds / 400 meters = .15 seconds
Ellen runs faster than Lindsay
Jerrod’s family drove 1,778 miles from Denver, Colorado, to New York City. They averaged 61.7 miles per hour on the trip. Which is the best estimate of the number of hours the family drove?
Answers
Given parameters:
Distance traveled = 1778miles
Average speed = 61.7 miles per hour
Unknown:
Time taken for the travel = ?
Speed is a physical quantity. It is the rate of change of distance with time.
It can be mathematically expressed as;
Speed = [tex]\frac{distance}{time taken}[/tex]
The unknown here is the time taken;
Substitute the parameters and solve for it;
61.7 = [tex]\frac{1778}{ time taken}[/tex]
time taken = [tex]\frac{1778}{61.7}[/tex] = 28.8hrs
The time taken is 28.8hrs
Answer:
the answer for this would be 30 hours.
Step-by-step explanation:
Use the GCF and distributive property to find the expression that is equivalent of 48+56
Answers
how many times as large is 600000000 as 2000
Answers
Answer: 300,000 times as large
Step-by-step explanation: 600000000/2000 = 300000
Answer:
300000
Step-by-step explanation:
This is a division problem.
600000000/2000 = 600000/2 = 300000
Answer: 300000
If a hotel has 126 rooms. 4 floors in all . Ok if 334 rooms have been cleaned how many are left to be cleaned
Answers
Answer:
170 rooms left to clean.
Step-by-step explanation:
If you are implying that there are 126 rooms for each floor of the 4 floors total.
Given the scenario that there are 126 rooms for each floor with 4 floors total with 334 of the rooms cleaned. The rooms left to clean are calculated by finding the difference between the total amount of rooms, and the rooms cleaned.
This relationship can be given by:
#total rooms - #cleaned rooms = #rooms left to clean.
The total rooms are found by multiplying the number of floors by the number of rooms on each floor: 126 × 4 = 504 rooms total.
Now we have all the variables needed, and can solve for the missing one:
(126×4) - (334) = #rooms left to clean
504 - 334 = 170 = #rooms left to clean
In a quadratic equation a^2+ bx + c = 0, why is it that the value of a cannot be equal to zero?
Answers
Answer:
Someone please help me because i have this question on my test someone please help us
Step-by-step explanation:
) A certain WSU curriculum committee consists of 11 members. In a regular meeting last year, seven members of the committee were in favor of a program proposal and the other four rejected it. If the committee members leave the meeting room in random order and each of the first three leaving the room is accosted by a reporter in quest of an interview, then let X be the number of committee members rejecting the proposal among those interviewed. 1. What is the probability that exactly two are from the membe
Answers
Complete Question
A certain WSU curriculum committee consists of 11 members. In a regular meeting last year, seven members of the committee were in favor of a program proposal and the other four rejected it. If the committee members leave the meeting room in random order and each of the first three leaving the room is accosted by a reporter in quest of an interview, then let X be the number of committee members rejecting the proposal among those interviewed.
1. What is the probability that exactly two are from the member favoring the acceptance of the proposal among those interviewed.
Answer:
The value is [tex]P(U) = 0.5091[/tex]
Step-by-step explanation:
From the question we are told that
The number of member is n = 11
The number of member who are in favor of the project is k = 7
The number of members who rejected the project is h = 4
Generally the number of way of selecting the first three member left out of the 11 members is mathematically represented as
[tex]F = ^n C _r[/tex]
Here r = 3 and C stand for combination , so using a combination calculator we have
[tex]F = ^{11} C _3 = 165[/tex]
Given that out of the first three members that left 2 of the members accepted the project i.e U = 2
The number of way of selecting the 2 members from the total 7 members that accepted the project is
[tex]G = ^{7} C _2[/tex]
=> [tex]G = 21[/tex]
Given that two members out of the first three accepted the project it means that the remaining one person rejected the project, the number of ways of selecting this one person from the 4 that rejected the project is mathematically represented as
[tex]U = ^4 C_1[/tex]
=> [tex]U = 4[/tex]
Generally the probability that exactly two are from the member favoring the acceptance of the proposal among those interviewed is mathematically represented as
[tex]P(U) = \frac{G * U}{F}[/tex]
[tex]P(U) = \frac{21 * 4}{165}[/tex]
[tex]P(U) = 0.5091[/tex]
It is possible to approximate the outside temperature based on how fast crickets are chirping. Suppose on a 50 degree day, you measure 52 chirps in a minute, and on a 74 degree day, you measure 148 chirps in a minute.
Answers
calculate the slope using change in y over change in x and you will find the average amount of chirps per degree
What is 7/9 x 21/10=
Answers
Answer:
1 19/30
Step-by-step explanation:
Just multiply and cross simplify
7/9 x 21/10
9 and 21 can be simplified to 3/7
7/3 x 7/10
Multiply from left to right
49/30
1 19/30
Answer: 1.63333333333
7/9 = 0.77777777777
(7/9) * 21 = 16.3333333333
((7/9) * 21)/10 = 1.63333333333
Given the following formula, solve for a
I WILL GIVE BRAINLIST!!
Answers
Answer:
a=2s-b-c
Step-by-step explanation:
2s=a+b+c
a=2s-b-c
Answer:
2s-c-b =a
Step-by-step explanation:
s = ( a+b+c)/2
Multiply each side by 2
2s = ( a+b+c)/2 *2
2s = a+b+c
Subtract c from each side
2s -c = a+b+c-c
2s -c = a+b
Subtract b from each side
2s-c-b = a+b-b
2s-c-b =a
What are the answers for the 4 questions below. Please answer all 4 questions. I really need the help thank you.
Answers
Answer:
Below
Step-by-step explanation:
18. DHJ
19. AJB
20. 75
21. 130
please answer number 9 :((((
Answers
okay so the 2x+6 is the red line
x<12 is the purple region
-3/4x+8 is the blue line
x is greater than or equal to 12 is black
the second picture shows when 8 ≤ x ≤ 16
in the second photo it shows the region where 8≤x≤12 which is the red shaded part
©C a r n e g ie L e a r n in g 6.1 Picture Algebra • 3093. The members of a small town’s local arts council are selling raffle tickets. The art council decides that the top three raffle ticket sellers will share a portion of the profits. The second-place seller will receive twice as much as the third-place seller. The first-place seller will receive $20 more than second-place seller. How much will each of the top three sellers receive if the profit portion they will share is $200?
Answers
Answer:
1st - $92
2nd - $72
3ed - $36
Step-by-step explanation:
save 20 dollars for first place, because they are going to get that no matter what.
200 - 20 = 180
we'll need to divide 180 into 5 parts, one for 3ed place, two each for 1st and second.
180 / 5 = 36
3ed place gets $36
2nd gets twice that, $72
1st gets the same as 2nd +$20, so $92
to check our answer, add up all their profit and make sure it's 200 even.
Rounding 801,504 to the nearest thousand
Answers
Answer:
802,000
Step-by-step explanation:
802,000
Since there is a 5 in the hundreds place, the 1 in the thousands place rounds up to a 2.
Answer:
802,000
Step-by-step explanation:
Because round to the nearest 1,000 and and 802,000 is the nearest.
1 − 3 10 . Write the answer as a fraction
Answers
Answer:
7/10
Step-by-step explanation:
It's correct on Edgenuit y
The fraction equivalent to 1 - 3/10 is 7/10.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, An integer 1 is subtracted from a fraction 3/10.
Let, 1 = 1/1.
Therefore,
1 - 3/10.
= 1/1 - 3/10.
Now, LCM of 1 and 10 is 10.
(10 - 3)/10.
= 7/10.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ2
Rapid Rental Car charges a $40 rental fee, $15 for gas, and $0.25 per mile driven. For the same car, Capital Cars charges $45 for rental and gas, and $0.35 per mile. For how many miles is the rental cost at both companies the same?
Answers
1415236 IDC DCCDSDSDCSDCSDC
Which of the following relationships does NOT represent y as a function of x ?
a) y^3 = x
b) y = 1/x
c) y = x^2
d) y^2 = x
Answers
Step-by-step explanation:
A constant regarding force of 10 Newton is exerted to a body of mass 20 kg moving initially with a speed of 10 meter per second how long does the body take to stop
Find a degree 3 polynomial with real coefficients having zeros 1 and 2-2i and a lead coefficient of 1. Write P in expanded form. Be sure to write the full equation, including P(x)=.
Answers
Answer:
Step-by-step explanation:
complex roots always occur in pairs.
roots are 1,2-2i,2+2i
P(x)=a(x-a)(x-b)(x-c)
P(x)=1(x-1)[x-(2-2i)][x-(2+2i)]
=1(x-1)[(x-2)+2i][(x-2)-2i]
=(x-1)[(x-2)²-(2i)²]
=(x-1)[(x-2)²-4i²]
=(x-1)[x²-4x+4-4(-1)]
=(x-1)[x²-4x+4+4]
=(x-1)[x²-4x+8]
=x³-4x²+8x-x²+4x-8
=x³-5x²+12x-8
Can someone quickly help me solve this ?!
Answers
Answer: 8
Step-by-step explanation: if you count the angels and the sides then you'll get the answer 8..
Have a good date
help asap please 25 points
Answers
Answer:
a is 75.00 b is 12 meters above c is credit of 23.00
Step-by-step explanation:
Jake and Logan are partners in business. Jake makes $2in profit for $5 that Logan makes. if Logan makes $20 profit on the first item they sell, how much profit does jake make
Answers
Answer:
Jake will make 8$
Step-by-step explanation:
20/5=4
4x2=8
