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
erik [133]
3 years ago
8

The endpoints of MP are M(1,4) amd P(16,14). If A partitions MP in a ratio of MA:AP = 2:1, which of the following represent the

coordinates of point A?
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
5 0
So, we know the segment MP gets partitioned by the point A to MA with a ratio of 2 and AP with a ratio of 1, on a 2:1 ratio from M to P, therefore then,

\bf \left. \qquad  \right.\textit{internal division of a line segment}
\\\\\\
M(1,4)\qquad P(16,14)\qquad
\qquad 2:1
\\\\\\
\cfrac{MA}{AP} = \cfrac{2}{1}\implies \cfrac{M}{P} = \cfrac{2}{1}\implies 1M=2P\implies 1(1,4)=2(16,14)\\\\
-------------------------------\\\\
{ A=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)}

\bf -------------------------------\\\\
A=\left(\cfrac{(1\cdot 1)+(2\cdot 16)}{2+1}\quad ,\quad \cfrac{(1\cdot 4)+(2\cdot 14)}{2+1}\right)
\\\\\\
A=\left( \cfrac{1+32}{3}~~,~~\cfrac{4+28}{3} \right)\implies A=\left( \cfrac{33}{3}~~,~~\cfrac{32}{3} \right)
\\\\\\
A=\left(11~~,10\frac{2}{3}  \right)
You might be interested in
What is the area of this figure?<br> 168<br> 102<br> 132<br> 340
JulsSmile [24]
Area of square =6*6= 36 cm^2
Area of trapezoid =1/2( base1+base2)*height
base 1=7
base2=21-6=15
height=6
Area of trapezoid =1/2( 7+15)*6= 66 
whole area = area of square + area of trapezoid= 36+66=102
Answer 102

8 0
3 years ago
PLEASE HELP !!!!!<br> What is the value of the missing angle?
vazorg [7]

Answer:

B

Step-by-step explanation:

180 - 100 = 80

80 = 30 = 110

180 - 110 = 70

6 0
2 years ago
Read 2 more answers
Matthew made a fruit salad, in which the ratio of blueberries to red grapes is 8:6. Write the ratio of red grapes to blueberries
Elena-2011 [213]

Answer: 3:4

Step-by-step explanation: There are 6 red grapes and 8 blueberries. So this would make the ratio 6:8 normally. You want to find the biggest number that goes into 6 and 8, which is 2. You divide both by 2 and get 3:4, since both don't have a big number that goes into both, your answer is 3:4

7 0
3 years ago
Read 2 more answers
If three points are collinear, they are also coplanar
e-lub [12.9K]

My explanation is attached below.

6 0
3 years ago
Read 2 more answers
A model length of 12cm. Represents an actual length of 102 ft. What is the scale for the model
stealth61 [152]
102 ft = 12 cm1224 in = 12 cm1 in = 0.00980 cm
8 0
3 years ago
Other questions:
  • Can someone help me solve this
    9·2 answers
  • I am a three digit number. I am number between 350 and 400. All my digits are different and they are all odd. The sum of my last
    11·2 answers
  • Which of the following is a perfect square trinomial?
    13·2 answers
  • Angle RST is a right angle. Angle RSU has a measure of 25°.
    6·2 answers
  • I need the quadratic formula.​
    10·2 answers
  • This year Benny is 12 years old his brother Lenny's age is 175% of his age how old is Lenny
    15·1 answer
  • What's the addition equation for the problem 15-9=6​
    11·1 answer
  • Which statement about buildings and art from the Middle Ages and Byzantine Empire is true? The color gold in paintings was added
    13·1 answer
  • Which of the following are binomials? Check all that apply.
    11·1 answer
  • CAN U PLZ HELP THANK YOU
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!