1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marusya05 [52]
2 years ago
14

3. Given the directed line segment AB, with endpoints A20, 6) and B(-16, 50), find the point Q

Mathematics
1 answer:
garri49 [273]2 years ago
8 0

The point Q that partitions the line segment is Q(2,28)

Given that the directed line segment AB, with endpoints A(20, 6) and B(-16, 50) and divide the segment into a 1:1 ratio.

A line segment is a part of a line bounded by two distinct endpoints and containing all the points of the line segment between its endpoints.

We will find the point Q by using the section formula that is

Q(x,y)=((mx₂+nx₁)/(m+n),(my₂+ny₁)/(m+n))

The given ratio is m:n=1:1 and the points (x₁,y₁)=(20,6) and (x₂,y₂)=(-16,50).

Firstly, we will find the point Q for x-axis, we get

Q(x)=(mx₂+nx₁)/(m+n)

Q(x)=(1×(-16)+1×20)/(1+1)

Q(x)=(-16+20)/2

Q(x)=4/2

Q(x)=2

Now, we will find the point Q for y-axis, we get

Q(y)=(my₂+ny₁)/(m+n)

Q(y)=(1×50+1×6)/(1+1)

Q(y)=(50+6)/2

Q(y)=56/2

Q(y)=28

The point Q that partitions the line segment is Q(x,y)=(2,28)

Hence, point Q partitions this segment into a 1:1 ratio with directed line segment AB, with endpoints A(20, 6) and B(-16, 50) is Q(2,28).

Learn more about the line segment from here brainly.com/question/9034900

#SPJ9

You might be interested in
URGENT WILL GIVE BRAINLIEST<br> IF correct!!!!
vlabodo [156]

Answer:

<u>3</u> fewer fluids ounces the regular bottle of sunscreen holds.

Step-by-step explanation:

Given:

The family size bottle of sunscreen holds = 12 oz.

The regular bottle holds 75% less.

Now, to find how much fewer fluids ounces does the regular bottle of sunscreen holds.

So, according to question:

12-75\%\ of\ 12

=12-frac{75}{100} \times 12

=12-0.75\times 12

=12-9

=3\ oz.

Therefore, 3 fewer fluids ounces the regular bottle of sunscreen holds.

8 0
3 years ago
How do I graph -2=-2x+y
igor_vitrenko [27]
You must first set the y by itself. And use the slope formula to find the slope. 2 would be the point for the y axis
6 0
3 years ago
How do you simplify 420/450?
MatroZZZ [7]
<span><span>Find the GCD (or HCF) of numerator and denominator
GCD of 420 and 450 is 30</span><span>Divide both the numerator and denominator by the GCD
(420/30)/(450/30)</span><span>Reduced fraction: 14/15</span></span>

Equivalent fractions

7 0
3 years ago
Read 2 more answers
If you know this answer can you help lol
AnnyKZ [126]

The answer is C whole

4 0
3 years ago
A pile of sand in the shape of a cone has a diameter of 8 in. and a height of 5 in.
max2010maxim [7]

if it has a diameter of 8, that means its radius is half that, or 4.


\bf \textit{volume of a cone}\\\\&#10;V=\cfrac{\pi r^2 h}{3}~~&#10;\begin{cases}&#10;r=radius\\&#10;h=height\\[-0.5em]&#10;\hrulefill\\&#10;r=4\\&#10;h=5&#10;\end{cases}\implies V=\cfrac{\pi (4)^2(5)}{3}\implies V=\cfrac{80\pi }{3}&#10;\\\\[-0.35em]&#10;\rule{34em}{0.25pt}\\\\&#10;~\hfill \stackrel{using~\pi =3.14}{V= 83.7\overline{3}}~\hfill

8 0
3 years ago
Other questions:
  • Which of the following have two congruent parallel bases?
    5·1 answer
  • In a bag of candy, for every 13 chocolate pieces there are 6 vanilla pieces. What is the ratio of chocolate to vanilla?
    12·2 answers
  • The speed of a car is discrete data?
    6·1 answer
  • Josh sold 4 more boxes of candy for the school fundraiser than Jenny. The sum was 22 of the boxes they sold. How many boxes did
    11·1 answer
  • Anyone know the answer and the check to the equation 7 - 4c = 3c - 7 ?
    8·2 answers
  • 25- (3x + 5) = 2(x+8) + x how do you do it step by step?
    10·1 answer
  • What is the slope given the following two points (2,-4) and (1, 5)?
    13·2 answers
  • A new 54 inch flatscreen TV cost $1245 at Best Buy. If Harry has a 15% off coupon what will he pay for the TV
    10·1 answer
  • 11 + 4n - 2n + 12 HELPPPPPPPPPPPPPPP
    12·1 answer
  • the temperature of an enclosure for a pet snake should be about 80f, give or take 5. find the maximum and minimum temperatures
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!