What are the coordinates of point P on a directed line segment from R to Q such that P is 5/6 the length of the line segment.
Answers
Answer:
[tex]P = [-3/5,2.33][/tex]
Step-by-step explanation:
Given
See attachment for line segment RQ
[tex]P = \frac{5}{6}[/tex] of RQ
Required
The coordinates of P
Using line segment ratio formula, we have:
[tex]P = [\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n}][/tex]
If P is at:
[tex]P = \frac{5}{6}[/tex]
Then:
[tex]m : n = \frac{5}{6} : 1 -\frac{5}{6}[/tex]
Solve
[tex]m : n = \frac{5}{6} : \frac{6-5}{6}[/tex]
[tex]m : n = \frac{5}{6} : \frac{1}{6}[/tex]
Multiply by 6
[tex]m : n = \frac{5}{6} *6: \frac{1}{6} * 6[/tex]
[tex]m : n = 5 : 1[/tex]
By comparison
[tex]m=5\ \& n = 1[/tex]
From the attached line segment
[tex]R(x_1,y_1) = (4,-1)[/tex]
[tex]Q(x_2,y_2) = (-5,3)[/tex]
So, we have:
[tex]P = [\frac{5*-5 + 1*4}{5+1},\frac{5*3 + 1*-1}{5+1}][/tex]
[tex]P = [\frac{-25 + 4}{6},\frac{15 -1}{6}][/tex]
[tex]P = [\frac{-21}{6},\frac{14}{6}][/tex]
[tex]P = [-3/5,2.33][/tex]
Related Questions
Which inequality is true when x=6? *
Answers
Answer:
10+x=16
Step-by-step explanation:
answer quick please look at attachment.
Answers
Answer:
c) KJ and JH
Step-by-step explanation:
Answer:
lowkey gonna say B
Step-by-step explanation:
shshevr fcfvdbd
A teacher gave a test to three classes that contained 27, 25, and 23 students. A total of 18 students scored an A on the test. Based on this information, which statement is true?
Answers
4 + 6 + 5 = 15
So, class A represents 4/15 of the TOTAL population
Class B represents 6/15 of the TOTAL population
Class C represents 5/15 of the TOTAL population
So, weighted average of 3 groups combined = (4/15)(65) + (6/15)(80) + (5/15)(77)
= 260/15 + 480/15 + 385/15
= 1125/15
= 75
Answer: B
Solve for X -3/4(x+2)=6
Answers
Answer:
-10
Step-by-step explanation:
-3/4(x+2)=6
x+2=6/(-3/4)
x+2=(6/1)(-4/3)
x+2=-24/3
x+2=-8
x=-8-2
x=-10
(4, 11), (10, 11), and (9, 7) is reflected over the y-axis .
PLEASE HELP THIS IS DUES TO DAY
Answers
Answer:
The new coordinates would be (-4, 11)
(-10, 11) (-9, 7) Hope this helps!
hii please help asap ill give brainliest thanks
Answers
Can u solve this puzzle?
Answers
Answer:
i dont think so sorry
Kat is interested in getting chickens so she can have fresh eggs. Before she buys her chickens, she wants to find the mean number of eggs each one will lay. She begins by randomly selecting 40 chickens from a large poultry farm and counts how many eggs each one lays within one month. She finds the mean to be 24.8 eggs with a standard deviation of 6.9 eggs. The resulting interval is (22.96, 26.64). Which of the following correctly interprets the 90% confidence interval for the true mean number of eggs chickens from this poultry farm lay within one month?
90% of all chickens at this farm lay between 22.96 and 26.64 eggs.
In repeated sampling, 90% of the time the true mean number of eggs chickens at this farm lay is 24.8.
Kat can be 90% confident that the constructed interval (22.96, 26.64) captures the true mean number of eggs chickens from this farm lay.
In repeated sampling, 90% of the time the true mean number of eggs laid by chickens from this farm will be captured within the interval (22.96, 26.64).
Answers
Answer:
C. Kat can be 90% confident that the constructed interval (22.96, 26.64) captures the true mean number of eggs chickens from this farm lay.
Step-by-step explanation:
Edge 2021
What is the slope of y =
-4?
Answers
Answer:
20
Step-by-step explanation:
Hey can you help me fast!!
Answers
Answer:
I believe the answer would be -4 1/2.
Find the measure of arc DB in OP.
mDB=
Answers
Answer:
90
Step-by-step explanation:
First of all you have to know that when 2 lines are perpendicular to each other,they produce a 90° angle, therefore DP||TD. Then you should remember that the measure of an arc is the same as the measure of the angle. So angle DB is 90°.
Can somebody plz help tell me how to find the people who surveyed like where do u find it? Thx!
WILL MARK BRAINLIEST WHOEVER CAN HELP WITH THIS :DDD
Answers
heeeeeeeeeeeelp me pleeeease
Answers
Answer:
correct answer is C hope it helps you have a good day
please mark me as brain list
Please please ASAP ASAP please ASAP thank you so much bye no links or files
Answers
Answer:it looks like 90degrees from here so 45 since the middle line is halving it
Step-by-step explanation:
A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 1100 miles, for a total gas consumption of 35 gallons. How many gallons were consumed by each of the two cars that week?
Answers
Answer:
Car 1 consumed 15 gallons, and Car 2 consumed 20 gallons.
Step-by-step explanation:
fuel efficiency = distance in miles/gallons of gas
fuel efficiency * gallons of gas = distance in miles
Car 1: 20 mpg
Car 2: 40 mpg
Total miles: 1100
Miles of Car 1: x
Miles of Car 2: 1100 - x
Total gallons: 35
Gallons for Car 1: y
Gallons for Car 2: 35 - y
Car 1:
fuel efficiency * gallons of gas = distance in miles
20 * y = x
Car 2:
fuel efficiency * gallons of gas = distance in miles
40 * (35 - y) = 1100 - x
20y = x
1400 - 40y = 1100 - x
20y = x
x = 40y - 300
40y - 300 = 20y
20y = 300
y = 15
35 - y = 35 - 15 = 20
Car 1 consumed 15 gallons, and Car 2 consumed 20 gallons.
At the Fisher farm, the weights of zucchini squash are Normally distributed. Which standardized weight represents the top 10% of the zucchinis?
Find the z-table here.
–1.64
–1.28
1.28
1.64
Answers
Thus, the standardized weight which represents the top 10% of the zucchinis from the z-table for the fisher farm is 1.28.
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]
Here, X is sample, is μ mean and is σ standard deviation.
At the Fisher farm, the weights of zucchini squash are Normally distributed.
For the normal distribution let the value of mean is 0 and standard deviation 1. Thus,
[tex]Z = \dfrac{X - \mu}{\sigma}\\Z = \dfrac{X - 0}{1}\\Z=X[/tex]
For the top 10% of the zucchinis, the value of α is 0.9. From the table for this value the z score is,
[tex]Z=X=1.28[/tex]
Thus, the standardized weight which represents the top 10% of the zucchinis from the z-table for the fisher farm is 1.28.
Learn more about the z score here;
https://brainly.com/question/13299273
#SPJ2
What is -1/2 (-5/6 plus 1/3) simplified
Answers
Answer:
0.25 or 5/12 - 1/6
Step-by-step explanation:
-1/2(-5/6+1/3), do PMDAS. (-5/6) = -0.833 (repeated) and (1/3) = 0.333 (repeated) and you add them both (-0.833 + 0.333) = -0.5 and -1/2 = -0.5 and when you multiply them both it would equal 0.25. or another explanation for the answer is 5/12 = 0.41666666666 and 1/6 = 0.16666666666 and when you subtract them both you get 0.25, I hope this was helpful.
Find the volume of the figure below. Round your answer to the nearest hundredth if necessary,
8 mi
6 mi
8 mi
4.3 mi
11 mi
97.3 mi?
Ob
177.8 mi?
255.5 mi?
Od
189.2 mi?
Answers
Answer:
d. V = 189.2 mi³
Step-by-step explanation:
V = Bh
V = (11 mi)(4.3 mi)/2 × 8 mi
V = 189.2 mi³
ahorita comento la foto de mi procedimkentl
- 4(y-2) = 12
What’s the value of x?
Explain
Answers
Answer:
There is no x, so I’ll find y
Step-by-step explanation:
-4(y-2)=12
Multiply -4 with y and -2
-4y+8=12
Then subtract 8 with its self and 12
-4y = 4
now divide both numbers with 4
y= -1
Step 2. Multiply -4 by -2.... you get 8
Step 3. Equation will be -4y+8=12
Step 4. Subtract 8 from 8 and 12
Step 5. Equation will be -4y=4
Step 6. Divide 4 by both sides
Step 7. Answer is y=-1
Help please! No file attachments please, only write your answers in response to question.
Answers
AFK,CGJ,DEL,BHM
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
Answers
To square it you would just do (5x-4y)(5x-4y)
A number from 13 to 21 is drawn at random.
P( a prime number)
Answers
Answer:
Probability[Prime number] = 1/3
Step-by-step explanation:
Given:
Total number between 13 to 21;
13, 14, 15, 16, 17, 18, 19, 20, 21
Find:
Probability[Prime number]
Computation;
Total number between 13 to 21 = 9
Total number of prime number;
13, 17 ,19
Total number of prime number = 3
Probability pf event = Number of favorable output / Total output
Probability[Prime number] = Total number of prime number / Total number between 13 to 21
Probability[Prime number] = 3 / 9
Probability[Prime number] = 1/3
what goes in the highlighted box?
Answers
Answer: 11y
Step-by-step explanation:
When you add 6y and 5y that equals 11y <3
Answer:
11Y goes in the highlighted section.
Step-by-step explanation:
Since the Xs was crossed out you don't have to worry about the X going tin the highlighted area.
Then add the Ys together.
I can't really explain anymore, but i hope this helps!!!!
Then your final answer would be y=6. :)
Steve made $50 raking leaves and $75 mowing lawns he gave 60% of his earnings to his mother how much did Steve give to his mother
Answers
Answer:
Steve gave his mother $75.
Step-by-step explanation:
Steve earned a total of $125. Sixty percent of that went to his mother. Convert 60% into the equivalent decimal fraction and multiply as indicated:
0.60($125) = $75
Steve gave his mother $75.
Answer:
Steve gave $75 to his mother.
Step-by-step explanation:
Steve earned a total of $125. Sixty percent of that went to his mother. Convert 60% into a decimal and multiply:
0.60($125) = $75
19. Find the value of:
4/3tan^2 30° + Sin^2 60° – 3Cos^2 30°+ 3tan^2. 60° - 2tan^2 45°
Answers
9514 1404 393
Answer:
107/18
Step-by-step explanation:
Your calculator and/or knowledge of trig function values can help you evaluate this.
= 4/3(1/3) +3/4 -3(3/4) +3(3) -2(1)
= 4/9 +3/4 -9/4 +9 -2
= 107/18
___
tan(30°) = 1/√3
tan(45°) = 1
tan(60°) = √3
sin(60°) = cos(30°) = √3/2
At track practice, Preston
practiced running the hurdles for 2
hours. Then he practiced the high
jump for 1 hour and 30 minutes. If
Preston's track practice ended at
1:30 P.M., what time did it start?
Answers
a cat is stuck on the root. if the ladder is 16 feet long and must be placed six feet away from the building. how high can the ladder reach up the building to help save the cat
Answers
Step-by-step explanation:
a^2 + b^2 = c^2
height + 6^2 = 16^2
height = 14.83
what two numbers add to 13 and subtract to 3?
Answers
Answer:
8 and 5.
Step-by-step explanation:
x - y = 3
x + y= 13
by elimination method ,we get
2x = 16
x = 16/2
x = 8
8 + y = 13
y = 13 - 8
y = 5
x = 8 ,y = 5
Answer:
8 and 5
Step-by-step explanation:
Subsets of sample spaces
Go to le
The sample space below shows the results of the final eight matches played by the English soccer team
Manchester United during their championship 2012 - 2013 season. They won matches where they scored
more goals than their opponent, lost matches where they scored less, and tied matches where they scored the
same amount.
If we take matches 1, 2, 4, 6, and 7 as a subset of the sample space, which of the statements below describe
this subset?
Choose all answers that apply:
CA
The subset consists of all the matches where Manchester United's opponent did not win.
B)
The subset consists of all the matches where Manchester United won or lost.
©
The subset consists of all the matches where Manchester United did not win.
Answers
Answer:
B) The subset consists of all the matches where Manchester United won or lost.
Step-by-step explanation:
1 - Manchester united lost
2 - Manchester United won
4 - Manchester United won
6 - Manchester United lost
7 - Manchester United won
Hence, 1, 2, 4, 6, 7 consists of matches where Manchester United either won or lost.
Therefore, 1,2,4,6,7 is a subset of the sample space where Manchester United won or Lost
Answer:
The letter may be in different orders.
2 answers: "The subset consists of all the matches where there were no ties" and "The subset consists of all the matches where Manchester United won or lost"
Step-by-step explanation:
process of elimination. All the nonhighlighted matches are were there were ties. The highlighted ones have no ties and both teams lost or won.
A highschool science teacher has 78 students. Of those students, 35 are in the band and 32 are on a sports team. There are 16 students who are not in the band or on a sports team. One student from the 78 students will be selected at random. Let even B represent the event of selecting a student in the band, and let event s represent the event of selecting a student on a sports team
Answers
Answer: s sports team because what i was thinking is that the band has a lot of kids so there for there gonna put that kid on the sports team or if the kid likes sports or if the kid likes band.
Step-by-step explanation: