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
olga_2 [115]
3 years ago
11

Divide line segments

Mathematics
1 answer:
ser-zykov [4K]3 years ago
6 0

tis noteworthy that the segment contains endpoints of A and C and the point B is in between A and C cutting the segment in a 1:2 ratio,

\bf \textit{internal division of a line segment using ratios} \\\\\\ A(-9,-7)\qquad C(x,y)\qquad \qquad \stackrel{\textit{ratio from A to C}}{1:2} \\\\\\ \cfrac{A\underline{B}}{\underline{B} C} = \cfrac{1}{2}\implies \cfrac{A}{C}=\cfrac{1}{2}\implies 2A=1C\implies 2(-9,-7)=1(x,y)\\\\[-0.35em] ~\dotfill\\\\ B=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em] ~\dotfill

\bf B=\left(\cfrac{(2\cdot -9)+(1\cdot x)}{1+2}\quad ,\quad \cfrac{(2\cdot -7)+(1\cdot y)}{1+2}\right)~~=~~(-4,-6) \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(2\cdot -9)+(1\cdot x)}{1+2}=-4\implies \cfrac{-18+x}{3}=-4 \\\\\\ -18+x=-12\implies \boxed{x=6} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(2\cdot -7)+(1\cdot y)}{1+2}=-6\implies \cfrac{-14+y}{3}=-6 \\\\\\ -14+y=-18\implies \boxed{y=-4}

You might be interested in
Allison and Rhea got different quotients when they divided 4.80 by 0.12. Whose work is correct? Explain why.
Firlakuza [10]
. 40. If you remove your decimals to do the problem them put it back once you've answered your golden.
6 0
3 years ago
Read 2 more answers
Carl buys seven 5-gallon jugs of water for the water cooler. How many liters of water did Carl buy? Show your work.
Gnom [1K]

Answer:

18.9271 liters

Step-by-step explanation:

i googled it

6 0
3 years ago
Please answer these for me !
levacccp [35]

Answer:

no i will not. hdjsjdjdidididididjjdjdjdiwkd

Step-by-step explanation:

DUMMY

5 0
3 years ago
The graph of which function passes through the point (–3, –19)?
Trava [24]
"the graph of which function"

Quadratic III?


8 0
3 years ago
Which number can each term if the equation be multiplied by to eliminate the decimals before solving
natima [27]
Answer is c 10 eliminate the decimal l
6 0
3 years ago
Other questions:
  • F 16 LB of fertilizer will cover 1500 ft.² of loan how much fertilizer is needed to cover 2500 ft.²
    5·1 answer
  • What is another way to say 345 centimeters?<br><br> 345 cm<br> 345 cg<br> 345 mm<br> 34.5 dl
    7·1 answer
  • How many inches are in 1 meter of ribbon
    7·2 answers
  • You are moving and need a rental truck. The rental company you have chosen charges a
    5·2 answers
  • How do I set this up?
    15·1 answer
  • One of the factory’s profits over time can be modeled with the polynomial p(x)=2x6+123.5x4+389x2−25x5−304.75x3−237.25x+53.5.
    11·1 answer
  • Can anyone answer this?​
    12·1 answer
  • If h(x) = x - 7 and g(x) = x^2, which expression is equivalent to (gºh) (5)?
    10·1 answer
  • Use the distributive property to rewrite this expression.<br> 2(a +3)
    10·1 answer
  • A barrel contains n cabbages which are either green or
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!