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
PLZZZ HURRY NEED ANSWER ASAP
Describe the sequence of
transformations that maps APQR onto AP'Q'R'. Use the drop-down menus to explain your answer.
A rotation of_________ and a translation of_________.
A rotation of:
270 degrees
180 degrees
90 degrees
45 degrees
A translation of:
1 unit down
2 unfits up
1 unit up
2 units down
Answers
If I'm not wrong it should be 180 degrees and a translation of 1 unit down.
Mhanifa please help i will mark brainliest :)
Answers
Answer:
YesStep-by-step explanation:
Given triangles:
ΔTUV and ΔXYZVerify the ratio of corresponding sides:
TU/XY = 15/35 = 3/7UV/YZ = 21/49 = 3/7TV/XZ = 18/42 = 3/7Since the ratios are same, the triangles are similar
A truck that has a mass of 2900kg and is moving down a hill that is 5 m high. What is the potential energy?
Answers
help pls i'll mark u brainliest
Answers
Step-by-step explanation:
I hope the answer helps u dear
Jesse sent an email to 4 people for a school project. In her email, she requested that each person copy and send the same email to 4 additional people.If everyone continues to send the email as requested, which equation could be used to determine the number of emails, y, that will be sent for a given round, x?
M. y = x^4
P. y = 4^X
R. y = 4x
S. y = 4/X
Answers
Answer:
The equation could be used to determine the number of emails, y, that will be sent for a given round, x, is:
P. y = 4^XStep-by-step explanation:
To obtain the equation you must know how many emails will be sent in each case, taking into account that Jesse requested that each person copy and send the same email to 4 additional people, then:
First round: Jesse's emails = 4Second round = 16 = 4*4Third round = 64 = 16*4Fourth round = 256 = 64*4How you can see, each round is the same that to multiply the last sent emails by four, so, with the equation selected in the answer we can obtain these results:
y = 4^XIn the first round:
y = 4^(1)y = 4In the second round:
y = 4^(2)y = 16In the third round:
y = 4^(3)y = 64And, in the fourth round:
y = 4^(4)y = 256By this reason, the equation y = 4^X is the correct answer.
These box plots show daily low temperatures for a sample of days in two
different towns.
Town A
15 20
30
40
45
Town B
2
35 40 45 48
0
5
10 15 20
25 30 35 40 45 50 55 60
Degrees (F)
Which statement is the most appropriate comparison of the centers?
Answers
It's D. the median for town A, 30, is less than the median for town B, 40.
The median for town A at 30° is less than the median for town B at 40°.
So, option (D) is the correct answer.
What is the median?The median is the "middle" of a sorted list of numbers. To find the median, place the numbers in value order and find the middle number".
For the given diagram,
Town A has temperatures = 20°, 30°, 40°
Town B has temperatures = 30°, 40°, 50°
The median of A = 30°
The median of B = 40°
Hence, From the above values, the median for town A at 30° is less than the median for town B at 40°.
Hence, we can conclude that option (D) is the correct answer.
Learn more about median here
brainly.com/question/16949317
#SPJ7
Your family spends $30 for tickets to an aquarium and $3 per hour for parking. Write an equation that gives the total cost of your family’s visit to the aquarium as a function of the number of hours that you are there. If your family stays for 8 hours, how much money did your family spend for the visit?
Answers
Answer:
$54
Step-by-step explanation:
Total cost = ticket cost + parking cost:
C(x) = $30 + ($3/hr)x
An 8-hour stay would cost:
C(8) = $30 + ($3/hr)(8) = $54
What is the area of the trapezoid?
Answers
Answer:
area = 432 ft²
Step-by-step explanation:
area = 1/2(B1 + B2)(H)
area = 1/2(20 + 16)(24) = 432 ft²
A rectangle is 64cm long 40cm wide find is area and perimeter
Answers
Answer:
Area= 2560 Perimeter= 208
Step-by-step explanation:
Answer:
64 x 40 = 2,560 <------- your area because multiply the two given lengths.
64 + 64 + 40 + 40 = 208 <---------- your perimeter since opposite sides are parallel which means 2 sides are different. So two of both of the different lengths will be your perimeter.
Step-by-step explanation:
R'(-1,9) is the image of R after a reflection in the x-axis. What are the coordinates of R?
Answers
New coordinates are (-1, -9) Hope this helps!
-19 2/9 -4 1/9-(-3 4/9) = ?
Answers
Answer:
I think its -19.9
Step-by-step explanation:
just break it down :)
A student studied for 1 hour and earned a 50% on her test. If she had studied for 2
hours, she would have scored a 100% on her test. Help asap please
Answers
You have to double 1 and 50 to get 2 and 100
1:50 = 2:100
1x2=2
50x2=100
So the statement, if she studied for 2 hours, she would have gotten 100%, makes sense
Hope this helps!
if the dimensions of the box are 5.4 14.2 and 26.5 what is the volume
Answers
Answer:
just multiply these decimals ....
multiply... 5.4×14.2×26.5
Which expression is equivalent to 2w? w+w
2w+w
2w-w
w+2
Answers
Answer:
It is equivalent to w+w
Step-by-step explanation:
w+w= 2w
Answer:
A w+w
Step-by-step explanation:
because 2w means 2 * w ( 2 times w)
when you multiply 2 time any number, you add that number twice,
exp... 4 times 2 = 4 + 4
therefore 2w is also w+ w
Please answer correctly
Answers
GDE= 55º
Hope this helps!!
Explanation: Angle G + Angle D = 180
D + 125 = 180
Angle D = 55
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answers
Answer:
12.57
Step-by-step explanation:
Lucia is putting cookies into Bag cuz she has 35 cookie she wants to put three cookies each bag she divides find out how much bags she can feel
Answers
the division wiil be as 33 ÷3 =11 bags and she wil have 2 remained cookies she should eat them
Complete Euler's Formula for each polyhedron.
+2
Answers
Answer:
Number of facies + number of vertices = number of edges + 2
Step-by-step explanation:
What was the first step in Ghana’s independence? Kwame Nkrumah became the prime minister. A military coup seized power in the colony. Africans gained a majority in the parliament. Opposition political parties were banned.
Answers
Answer:
c
Step-by-step explanation:
The Africans gained a majority in the Parliament
A key step that led to the independence of Ghana in the year 1957 is that Africans gained a majority in the parliament.
Ghana's independence:Ghana became an independent country in the year 1957. Ghana is a West Africa country with a general population of about 31 million people and it is a black nation.
A key step that led to the independence of Ghana in the year 1957 is that Africans gained a majority in the parliament.
Learn more about Ghana: https://brainly.com/question/4318962?r
will mark brainlist + 30 points .. please help asap!!
This probability distribution shows the
typical distribution of the number of shoes
in a teenager's closet.
Shoes
1
2
3
4
5
Frequency
12
20
38
20
10
Using this distribution, find the probability
that a teenager has exactly 2 pairs of shoes
in their closet.
p = [?]
Answers
Answer:
is 20 is your answer I believe
Answer:
p=2/20
p=1/10
the probability that a teenager has exactly 2 pairs of shoes is 1/10
-8 = 1.3m - 2.1?
Pls help
Answers
Answer:
m=−4.538462
Step-by-step explanation:
Step 1: Flip the equation.
1.3m−2.1=−8
Step 2: Add 2.1 to both sides.
1.3m−2.1+2.1=−8+2.1
1.3m=−5.9
Step 3: Divide both sides by 1.3.
1.3m
1.3
=
−5.9
1.3
Answer: -4.538
Step-by-step explanation: -8=1.3m-2.1
add 2.1 to both sides to get 1.3m=-5.9
divide both sides by 1.3 to get -5.9/1.3
-4.538
Check
1.3(-4.538)-2.1=-7.999
round it to equal -8
1. Find the area of the parallelogram.
What is the area?
Answers
Answer:
67.5[tex]in^{2}[/tex]Step-by-step explanation:
Area of a parallelogram is base x height
The base of the given parallelogram is 9 inches and the height is 7.5 inches
So, its area would be
9 x 7.5
Area equals [tex]67.5^{2}[/tex]
given 2x - 9y - 12 = 0, express 5x - 4y + 7 = 0 in terms of x only
Answers
Answer:
[tex]4 \frac{1}{9}x[/tex] + [tex]12\frac{1}{3}[/tex] = 0
Step-by-step explanation:
Based on 2x - 9y - 12 = 0
-9y = 12 - 2x
9y = -12 + 2x
y = [tex]-1\frac{1}{3} + \frac{2}{9} x[/tex]
Therefore...
5x - 4y + 7 = 0
5x - 4([tex]-1\frac{1}{3} + \frac{2}{9} x[/tex]) + 7 = 0
5x + [tex]5\frac{1}{3}[/tex] - [tex]\frac{8}{9} x[/tex] + 7 = 0
[tex]4 \frac{1}{9}x[/tex] + [tex]12\frac{1}{3}[/tex] = 0
I need help plz! can Anyone Help me?
Answers
2(7d-3)= 14d-6
2(4d-8)= 8d-16
(14d-6)+(8d-16)= 22d-22
Hi how do I do this ❤️
Answers
Answer:
51
Step-by-step explanation:
At cycle and sport, customers can rent bikes, electric scooters, kayaks, canoes or paddleboards by the hour. Ari is renting a bike, meg is renting a electric scooter.
Answers
Answer:
Option A, 9b + 10s is correct
Step-by-step explanation:
The complete question is
At cycle and sport customers can rent bikes, electric scooters, kayaks, canoes, or paddleboards by the hour. Ari is renting a bi ke, and meg is renting an electric scooter. Which expression represents the total cost for Ari to rent a bike for b hours and Meg to rent a scooter for s hours (Please answer ASAP) A. 9b + 10s B. 9 + 10 C. (9+b) + (10 + s) D. 9 + 10 x b + s
Solution
The price of renting a bike for one hour is $9
The price of renting a scooter for one hour is $10
Given -
Ari rents a bike for b hours and Meg rents a scooter for s hours
Total cost of renting a bike is 9 * b
Total cost of renting a scooter is 10* s
The total cost of renting both the bike and scooter is
9b + 10s
Hence, option A is correct
A team of biologists is studying a population of 800 fish they find that 15 out of every 75 fish are more than 30cm long based of this result how many fish in the population are 30 cm or less in length
Answers
Answer:
640
Step-by-step explanation:
Since 15 out of every 75 fish are more than 30 cm long, the probability of finding a fish more than 30 cm is P(x > 30) = 15/75 = 1/5.
The probability of finding a fish 30 cm or less is P(x ≤ 30) = 1 - P(x > 30)
= 1 - 1/5
= (5 - 1)/5
= 4/5
Since we have 800 fish and the probability of finding a fish 30 cm or less is P(x ≤ 30) = 4/5, then the number of fish in the population that are 30 cm or less in length are 800 × P(x ≤ 30) = 800 × 4/5
= 160 × 4
= 640
So, 640 fish in the population are 30 cm or less in length
The rectangular prism shown is made up of unit cubes. Each unit cube has a length of one inch, a width of one inch, and a height of one inch. The volume of the rectangular prism is cubic inches. One unit cube is placed on top of each unit cube in the top layer. The volume of the new prism is cubic inches. Three layers of unit cubes are removed from the new rectangular prism. The final volume is cubic inches.
Answers
Answer:
cube" (and any subsequent words) was ignored because we limit queries to 32 words.
I need help take your time and think you
Answers
HELP FOR 20 points !!!!!
Answers
Have a good day!