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
Molodets [167]
3 years ago
14

A segment with endpoints A (3, 4) and C (5, 11) is partitioned by a point B such that AB and BC form a 2:3 ratio. Find B.

Mathematics
2 answers:
Dima020 [189]3 years ago
7 0

Answer:

(3.8, 6.8)

Step-by-step explanation:

Point B:

Has coordinates (x,y)

AB and BC form a 2:3 ratio.

This means that:

B - A = \frac{2}{2+3}(C - A)

B - A = \frac{2}{5}(C - A)

We apply this both for the x-coordinate and for the y-coordinate.

x-coordinate:

x-coordinate of A: 3

x-coordinate of C: 5

x-coordinate of B: x

B - A = \frac{2}{5}(C - A)

x - 3 = \frac{2}{5}(5 - 3)

x - 3 = \frac{4}{5}

x = 0.8 + 3 = 3.8

y-coordinate:

y-coordinate of A: 4

y-coordinate of C: 11

y-coordinate of B: y

B - A = \frac{2}{5}(C - A)

y - 4 = \frac{2}{5}(11 - 4)

y - 4 = \frac{14}{5}

y = 2.8 + 4 = 6.8

Thus the correct answer is:

(3.8, 6.8)

adoni [48]3 years ago
4 0

Answer:

(3.8, 6.8) is correct

Step-by-step explanation:

You might be interested in
Convert 0.6 to a fraction to a percent and show a example how​
11Alexandr11 [23.1K]

Answer:

6/10   |    60%

Step-by-step explanation:

0.6 is the same as 6/10 because it is six-tenths.

6/10 is the percentage 60% because you can multiply the top and bottom by ten to get 100 on the bottom.

5 0
3 years ago
Write the standard equation for the circle with center (6, –8) that passes through (0, 0).(x – 6)2 + (y + 8)2 = 0(x – 6)2 + (y +
Anna [14]
Your equation is:

(x - 6)² + (y + 8)² = 100

When you plug in (0, 0) into this equation, you get:
(0 - 6)² + (0 + 8)² = 100
(- 6)² + 8² = 100
36 + 64 = 100
100 = 100
3 0
3 years ago
Help with the question below
Artemon [7]

Answer:

51

Step-by-step explanation:

24 ^2+45^2=x^2

=51

6 0
3 years ago
What value do we need to complete the equation?
Sloan [31]

Answer:

h/2

Step-by-step explanation:

3 0
2 years ago
Simplify thefollowing algebraic expression 6(2y +8) -2 (3y
telo118 [61]
6(y+8) is the answer but you didn’t finish the equation so
5 0
3 years ago
Other questions:
  • |2n+5|>/9 solve for n?
    10·2 answers
  • Solve for x
    13·1 answer
  • I need help with this
    10·1 answer
  • Brady recycled 4 cans less than 3 times the number of cans Addison recycled, x.
    7·2 answers
  • A cyclist rode 3.75 miles in 0.3 hours how fast was she going in Miles per hour
    6·1 answer
  • A park is in the shape of a rectangle. The park authorities are planning to build a 2-meter-wide jogging path in the park (shown
    13·1 answer
  • If F(a, b, c, d) = a^b + c \times d, what is the value of x such that F(2, x, 4, 11) = 300?
    8·1 answer
  • Piper used 1/3yard of ribbon to create a border around a
    11·1 answer
  • 6. Which two expressions are
    7·2 answers
  • What mass of solid that has a molar mass of 89.0 g/mol should be added to 100.0 g of benzene to raise the boiling point of benze
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!