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
PIT_PIT [208]
3 years ago
6

Find the coordinates of point B along a directed line segment from A(3,4) and

Mathematics
1 answer:
andreev551 [17]3 years ago
8 0

We have been given two points. A(3,4) and C(3,9). We are asked to find the point B such that it divides line segment AC so that the ratio of AB to BC is 4:1.

We will use segment formula to solve our given problem.

When a point P divides segment any segment internally in the ratio m:n, then coordinates of point P are:

[\right x=\frac{mx_2+nx_1}{m+n},y=\frac{my_2+ny_1}{m+n}\left]

(x_1,y_1)=(3,4) and (x_2,y_2)=(3,9).

m=4,n=1

Upon substituting our given information in above formula, we will get:

[\right x=\frac{4(3)+1(3)}{4+1},y=\frac{4(9)+1(4)}{4+1}\left]

[\right x=\frac{12+3}{5},y=\frac{36+4}{5}\left]

[\right x=\frac{15}{5},y=\frac{40}{5}\left]

[\right x=3,y=8\left]

Therefore, the coordinates of point B would be (3,8).

You might be interested in
Can someone please help!! <br> I need the answer and explanation pls
Ira Lisetskai [31]

Step-by-step explanation:

percentage of green marbles=

(total green marbles÷ total marbles )×100

7 0
2 years ago
5. Высота ромба равна 12 дм, что составляет 60% основания. Вычи-<br> сли площадь ромба
Alexandra [31]

Answer:

yes

Step-by-step explanation:

8 0
2 years ago
This question is confusing. Please help me!
patriot [66]

Answer:

C. 490.

Step-by-step explanation:

25% = 0.25.

If the number of emails that Ryan and Taylor each received  is x emails then Sara received  2x + 0.25 * 2x = 2.5 emails.

So 2x + 2.5x = 882

x = 882/4.5

x = 196.

So Sara received 2.5 * 196

= 490 emails.

5 0
3 years ago
Suppose that you can save $50 by buying your car in a different city. if the trip requires only $10 in gasoline, is the trip wor
netineya [11]
Yes the trip is worthwhile. If you save $50, but it takes you $10 in gas o get theready & $10 in gas to get back you still have $30 saved.
3 0
3 years ago
Read 2 more answers
Can someone help me please?
Marizza181 [45]

Answer:

about 6000π

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • What are the domain and range of the function
    14·2 answers
  • Please answer ASAP! <br> All help is deeply appreciated!
    11·1 answer
  • Natalie has 24 pairs of white tennis shoe out of 90 pairs of shoes. Use estimation to find the percent of her shoe that are whit
    6·1 answer
  • Determine which numbers are solutions for x&gt;7 from the solution set<br> of { 7,8,9}
    12·1 answer
  • Which value of y makes the equation true. 72= y over 6
    8·2 answers
  • HELP MEH Which is one factor that affects the type of cloud that will form?
    6·2 answers
  • Bob travels from Inglewood to anytown; a distance of 20 km.
    7·1 answer
  • Can you help me on this question Plss??
    13·1 answer
  • Write a fraction with a denominator of 9 whose equivalent percent is less than 100%. In complete sentences, explain why the frac
    14·1 answer
  • Find the area of the figure ​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!