Directed line segment PT has endpoints whose
coordinates are P(-2, 1) and 1(4,7). Determine
the coordinates of pointſ that divides the segment
in the ratio 2 to 1.
Answers
Answer:
(2 , 5)
Step-by-step explanation:
point (x,y) that divides the segment PI in the ratio 2 to 1
PD=4 - (-2) = 6 PE/ED=2/1 PE=2ED PE+ED=6 3ED=6 ED=2 PE=4
coordinate of E (2,1) .... 2 is x coordinate of E
DI=7-1=6 DF/FI=2/1 DF=4
coordinate of F (4,5) .... .... 5 is y coordinate of E
CF // PD PC/CI=DF/FI=2/1
C (2,5)
Coordinates of the point intersecting segment PT in the ratio of 2 : 1 will be (2, 5).
Given in the question,
Segment PT with endpoints P(-2, 1) and T(4, 7).Point (h, k) divides the segment in the ratio of 2 : 1.If the endpoints of a segment PQ have been given as[tex]P(x_1,y_1)[/tex] and [tex]Q(x_2,y_2)[/tex] and a point [tex](h,k)[/tex] divides this segment in the ratio of m : n,
[tex]h=\frac{mx_2+nx_1}{m+n}[/tex]
[tex]k=\frac{my_2+ny_1}{m+n}[/tex]
If the extreme ends of a segment PT are [tex]P(-2,1)[/tex] and [tex]T(4,7)[/tex] and a point (h, k) divides this segment in ratio of 2 : 1,
[tex]h=\frac{2(4)+1(-2)}{2+1}[/tex]
[tex]h=2[/tex]
[tex]k=\frac{2(7)+1(1)}{2+1}[/tex]
[tex]k=5[/tex]
Therefore, coordinates of the point intersecting segment PT in the ratio of 2 : 1 will be (2, 5).
Learn more,
https://brainly.com/question/15244734
Related Questions
Leah wants to figure out how many notebooks are in her class. She knows 2 points
that twenty-six less than two times the number of notebooks equals 10.
Write an equation to represent the number of notebooks. *
A. 2x+26=10
B. -26=10x
C. 26-2x=10
D. 2x-26=10
PLEASE HELP I ONLY HAVE 30 MINUTES
Answers
Answer: D
The answer is D
A random sample of Maxwell High School students showed that 7 out of every 12 students ride the bus to school . Maxwell High School has a total of 840 students . Based on the sample , how many students most likely ride the bus to school ?
Plsss fast
Answers
We would expect about 490 students to ride the bus to school based on the sample
What is random sampling?It is the way of choosing a number of required items from a population given.
Each item has an equal probability of being chosen.
We have,
If 7 out of every 12 students ride the bus to school, then the proportion of students who ride the bus is 7/12 or approximately 0.5833.
If we assume that this proportion holds true for the entire school, then we can estimate the number of students who ride the bus as follows:
Number of students who ride the bus = Proportion who ride the bus x Total number of students
Number of students who ride the bus = 0.5833 x 840
Number of students who ride the bus = 489.99
Since we cannot have a fractional number of students, we would round this estimate to the nearest whole number.
Thus,
We would expect about 490 students to ride the bus to school based on the sample
Learn more about random sampling here:
https://brainly.com/question/12719656
#SPJ3
If 4x+ 3 = 9x − 4, then x = ?
F. 75 G. 57 H. 713 J. 15 K. −15
Answers
Answer:
Step-by-step explanation:
Jhbiko
Answer:
7/5
Step-by-step explanation:
4x+3=9x-4
3=9x-4-4x
3=5x-4
3+4=5x
7=5x
7/5=x
x= 7/5
is this one of the choices I hope it helps.
Solve for the value of s.
Answers
Answer:
6s+2=4s-2
-4s -4s
2s+2=-2
-2 -2
2s=0
/2 /2
s=undefined or x=0
Clark is removing dirt from a rectangular section of his backyard to build a water feature. The section is 2.9 meters long and has an area of 8.7 square meters.
2.9x = 8.7
What is the width of the section of Clark's backyard?
A.
3 meters
B.
5.8 meters
C.
4 meters
D.
2.23 meters
Answers
Answer:
B
Step-by-step explanation:
3x + 2y = -9
X – Y = -13
Answers
Answer:
x =-7. .y=6
Step-by-step explanation:
3x + 2y = -9
(X – Y = -13)×3
3x + 2y = -9
3x – 3y = -39
5y = 30
y=6
3x +2(6)=-9
3x=-21
x=-7
What is the prouduct of the number p and 12
Answers
[tex] \frac{p}{12} [/tex]
hope it helps u
Imagine that you live near a skatepark. As part of some park renovations, the city plans to make the square skatepark 5 meters shorter in one direction and 6 meters longer in the other. What is the area of the new skatepark?
(please include the solving steps in your answer)
Answers
Answer:
x² + x - 30Step-by-step explanation:
Let the initial side be x
New skatepark has dimensions:
x - 5 and x + 6Its area is:
(x - 5)(x + 6) = x² + 6x - 5x - 30 = x² + x - 30At a concert 30% of the audience were tennnagers. If there was a total of 1600 audience members, how many of the audience were not teenagers
Answers
Answer:
Not teenagers = 1120
Step-by-step explanation:
Total number of audience members = 1600
30% of the audience were teenagers.
It means 70% of the audience were not teenagers. It can be given by :
x = 70% of 1600
[tex]x=\dfrac{70}{100}\times 1600\\\\x=1120[/tex]
Hence, 1120 audiences were not teenagers.
To map △PQR onto △STU, there must be a factor k that reduces △PQR.
Find each length.
PQ = 5
QR = 7
ST = 5
TU = 5
Step 2 out of 5:
If kPQ = ST, then k =
Answers
Answer: k=1
Step-by-step explanation: PQ already equals ST
what is the distance between (-5,8) and (-5.-8)
Answers
Answer: Use the formula y = mx + b in order to solve for b. Then, plug in known vaules.
y= -13x -57
Step-by-step explanation:
Complete the table.
Original Price $120 percent of Discount 80% Sale Price = ?
plz hellpppp
Answers
Sale Price = $24 (answer). This means the cost of the item to you is $24. You will pay $24 for a item with original price of $120 when discounted 80%. In this example, if you buy an item at $120 with 80% discount, you will pay 120 - 96 = 24 dollars. Hope this is what you're looking for! ^^
____________________________________________________________
セール価格= $ 24（回答）。これはあなたへのアイテムのコストが24ドルであることを意味します。 80％割引すると、元の価格が120ドルの商品に24ドルを支払うことになります。この例では、80％割引で120ドルでアイテムを購入すると、120〜96 = 24ドルを支払うことになります。これがあなたが探しているものであることを願っています！ ^^
PLZ help me do this work i don't get its hard :(
Answers
14.) 11/100
3
16.) 4—
10
17.) 31/4
3
19.) -1–
50
20.) 38
3
22.). -5—
5
3
23.). 1—
25
I don’t know the other ones. Sorry.
plssssssssssssss help this quiz is timed Tomaz realized that the tip of a second hand on a clock rotates about the center of the clock. He watched the second hand rotate around the center of the clock for 15 seconds. Which describes the rotation he observed?
270 degrees clockwise rotation
90 degrees clockwise rotation
180 degrees rotation
90 degrees counterclockwise rotation
Answers
Answer:
90 degrees
Step-by-step explanation:
90 degrees hhgffdfkgdf
Answer:
90 degrees clockwise rotation
Step-by-step explanation:
Because
Alice gets a job selling boots, and is given the option of wages plus commission, or commission only. In the first option, she would earn $33 in wages for each day of work, plus $2.50 for every pair of boots sold. Under the commission only option, she would earn no wages, and $3.25 for every pair of boots sold. How many pairs of boots would Alice have to sell in one day to make the two options equal?
Answers
Answer:
44 pairs of boots
Step-by-step explanation:
As per two options given to Alice,
1). Wages of $33 for each day work + commission of $2.5 for every pair sold.
If Alice sells x pairs of boots in a day, then total amount earned by Alice,
= (33 + 2.5x)
2). Commission of $3.25 for every boot sold.
If Alice sold x pairs of boots, total earnings of the day = 3.25x
If earning of Alice is equal in both the plans,
(33 + 2.5x) = 3.25x
3.25x - 2.5x = 33
0.75x = 33
x = 44
Therefore, for the sales of 44 pairs of the boots Alice will earn equal by both the plans.
Given a circle with endpoints of a diameter at-10 -1i and 6 + 11i, answer the questions below.
1. The center of the circle is at -2 +5i
2. The radius of the circle has a length of ___ units.
Answers
Answer: 10
Step-by-step answer:
Answer:
10
Step-by-step explanation:
I don't actually know how to find it, but that was the right answer on edge
-4x=-3y-5 into standard form
Answers
Answer:
4x-3y=5
Step-by-step explanation:
Answer:
5=3y+4x
Step-by-step explanation:
Step 1:
-4x = 3y-5
+4x +4x
Step 2:
0 = 3y+4x-5
+5 +5
5=3y+4x
Devon forgets to pay his credit card bill for three months. Which of the following statements is TRUE? *
1. A Late Payment fee will not be charged to his account.
2. A Balance Transfer fee will be charged to his account.
3. His A.P.R. (interest rate) will rise to 30.24% until he pays back the amount he owes.
4. His A.P.R. (interest rate) will rise to 30.24% and stay there until he makes six consecutive minimum payments .
Answers
The answer is 3. His A.P.R. (interest rate) will rise to 30.24% until he pays back the amount he owes.
Alexis simplified 14/42 to 1/3 by using the greatest common factor (GCF) of 14 and 42
What number did alexis use?
A. 2
B. 14
C.42
D. 84
Answers
Answer: 14
Step-by-step explanation:
the value of a car is 30,000$ it loses 6.5% of its value each year. What will the value of the car be after 5 years
Answers
Answer:
6.5 x 5=32.5
67.5/100 x 30,000= $20,250
what is the answer for this y=__x+__
Answers
Hello Guys will ya'll pls help me with these
quiestions...?
Answers
Answer:
I'll help you with this so reflections is not hard.
For reflect over x-axis you need to switch the sign on Y. formula for points like this is (x,y). An example is reflect (2,4) over the x-axis. you just change the sign of y making the answer (2,-4).
For reflect over y-axis you change the sign of X.For example reflect over the y-axis (3,7) all you have to do is change the sign of X which leaves you with the answer of (-3,7).
sign is basically + or - if need to know.
I hope this helps you in the long run.
The answer to the problem
Answers
Answer:
580
Step-by-step explanation:
Which expression correctly sets up the quadratic formula with x^2+1=2x-3
Answers
Given:
The quadratic equation is
[tex]x^2+1=2x-3[/tex]
To find:
The expression that correctly sets up the quadratic formula with the given equation.
Solution:
We have,
[tex]x^2+1=2x-3[/tex]
[tex]x^2+1-2x+3=0[/tex]
[tex]x^2-2x+4=0[/tex]
On comparing with [tex]ax^2+bx+c=0[/tex], we get
[tex]a=1,b=-2,c=4[/tex]
The quadratic formula is
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Putting [tex]a=1,b=-2,c=4[/tex], we get
[tex]x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(4)}}{2(1)}[/tex]
Therefore, the required expression is [tex]\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(4)}}{2(1)}[/tex].
Simplify the product using the Distributive Property.
(4r –5)(7r + 2)
A. 28r2 + 43r – 10
B. 28r2 – 27r + 10
C. 28r2 + 43r + 10
D. 28r2 – 27r – 10
Answers
Answer:
D
Step-by-step explanation:
the picture pretty much explain it step by step; hope this helped!
The ratio of white mice to gray mice for sale at the pet store is 5 to 2. There are 24 grey mice. What is the total number of mice for sale at the pet store?
F.62 H.210
G.150 J.84
Answers
Answer:
the ratio of black mice*
Step-by-step explanation:
giving brainliest to whoever can solve correctly
Answers
Answer:
The answer is 9
Step-by-step explanation:
4/9 = 9/4
Bought an antique for $25. He would it for 30% more than what he paid.
Answers
Answer:
$32.50
Step-by-step explanation:
multiple 25 by 30 then divide it by 100 then add your 7.5 to 25 and that's ur answer
Help please! It’s due at 11pm!
Answers
Answer:
it's -7 + 5= -2 I think im not sure
Use the distributive property to match equivalent expressions.
-7(4 + x)
-28 + 2x
7(4 + x)
28-7X
7(4-x)
28 +7x
-7(4x)
-28-7x
Intro
Done
Answers
Answer:
by distributing you need to multiple by using the 7 in front and use that 7 to multiply each number inside
1. -7(-4+x) -> 28-7x
2. 7(4+x) -> 28+7x
3. 7(-4-x) -> -28-7x
4. -7(4-x)-> -28+7x
