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
adell [148]
2 years ago
15

A segment with endpoints A(2,6) and C(5,9) is partitioned by a point B such that AB and BC form a 3:1 ratio. Find B​

Mathematics
1 answer:
Aneli [31]2 years ago
3 0

Answer:

The coordinate of point B is (4, 8.25)

Step-by-step explanation:

Here, we want to find the coordinates of point B

To do this, we are to use the section internal division formula as follows;

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

In this case;

(x1,y1) = (2,6)

(x2,y2) = (5,9)

(m,n) = (3,1)

Substituting these values into the section formula, we have;

(x,y) = (1(1) + 3(5))/(1 + 3) , (1(6) + 3(9))/3 + 1)

(x,y) = (16/4, 33/4)

(x,y) = (4,8.25)

You might be interested in
A spherical globe has a diameter of 10 inches. What is the approximate volume of the globe?
adelina 88 [10]

Answer:

523.33 in^3

Step-by-step explanation:

A sphere is a 3-dimensional version of a circle. An example of a sphere is a ball

Volume of a sphere = \frac{4}{3}πr^{3}

Where

π = 3.14

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

diameter = 2r

Radius = 10 in / 2 = 5 inches

\frac{4}{3} × 3.14 ×5^{3} = 523.33 in^{3}

6 0
3 years ago
A model rocket is launched with an initial velocity of 250 ft per second. The height h, in feet, of the rocket t seconds after t
diamong [38]

9514 1404 393

Answer:

  {2.96, 12.66}

Step-by-step explanation:

A graph shows the rocket will be 600 feet up after 2.96 seconds, and again at 12.66 seconds.

__

You can solve the equation h = 600 to find the times.

  -16t^2 +250t = 600

  -16(t^2 -15.625t) = 600

  -16(t^2 -15.625t +7.8125²) = 600 -16(7.8125²)

  -16(t -7.8125)² = -376.5625

  t -7.8125 = √(376.5625/16) ≈ ±4.8513

  t = 7.8125 ± 4.8513 ≈ {2.9612, 12.6638}

The rocket will be 600 ft above the ground 2.96 and 12.66 seconds after launch.

4 0
2 years ago
MATH HELP!!!!!!!!!!!!!!!!!!!!!!!!!!
Marina CMI [18]

Question 2. :

8^2 = 64 and 9^2 = 81, therefore the square root of 65 falls between these two values, 8 and 9, 64<65<81

Question 3. :

13^2 = 169 and 14^2 = 196, the correct answer is square root of 175, because 169<175<196

Hope this helps, you only need to know the squared values and square roots.

8 0
3 years ago
Evaluate 0.3y + y/z when y = 10 and z = 5
maxonik [38]

Answer:

I think the answer is 5

Step-by-step explanation:

3+2=5

4 0
3 years ago
Use your knowledge about parentheses and substitution to solve the following:
meriva

Answer:

16. r(s)(t) =

r=2, s=3, t=4

(2)(3)(4)=

             (2*3) = 6  ---> 6(4) = 24

final: 24

17. (r)(s)(t)(x)(y) =

r = 2, s = 3, t = 4, x = 5, y = 6

(2)(3)(4)(5)(6)

2*3=6

      6*4=24

            24*5= 120

                     120*6=720

final: 720

18. (7x + 2Y) =

x = 5, y = 6

rewrite--->        = [7(5) + 2(6)]

[35 + 12] = 47

final: 47

hope this helpsss sorry took a while LOL

Step-by-step explanation:

q = 1; r = 2; s = 3; t = 4; x = 5; y = 6

5 0
2 years ago
Read 2 more answers
Other questions:
  • kadeem and quinn both drive 25 miles. Kadeem drives at a constant speed of 50 miles an hour. Quinn drives at a constant speed of
    12·1 answer
  • Simplify the following expression (30/45g+20)-(8/9g+7)
    14·2 answers
  • What is 3/4 b equals 2
    10·1 answer
  • What is the center of the hyperbola whose equation is = 1?
    7·2 answers
  • Read the following statement. If a number is divisible by 2,then it is even what is the inverse of this statement?
    14·1 answer
  • Which of these is a lower price than 6 f for 9$
    5·1 answer
  • Please answer all or what you can do &lt;3
    6·2 answers
  • 45% of the student body at a local high school work part-time. 80% of the students who do not part-time love math whereas only 6
    11·1 answer
  • Area of circle with 7.1km rounded to the nearest tenth
    6·1 answer
  • Please help I have an timer
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!