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
SIZIF [17.4K]
1 year ago
9

In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horiz

ontal, what are the coordinates of point C? Diagram shows a line segment with endpoints A(2, minus 6) and B(10, 2). Point D lies on this line segment. A dashed segment extends up from point A until point C and then extends horizontally to right until point D, forming a right triangle. A. (2, -1) B. (2, -3) C. (5, -3) D. (7, -1) Reset Next
Mathematics
1 answer:
Arlecino [84]1 year ago
7 0

The coordinates of point C that forms the triangle is; (2, -1)

<h3>How to partition a line segment?</h3>

We are told that point D divides line segment AB in the ratio of 5:3.

The line segment division formula is;

(x, y) = (m₁x₂ + m₂x₁)/(m₁ + m₂), (m₁y₂ + m₂y₁)/(m₁ + m₂)

For this question;

x₁ = 2; y₁ = -6; x₂ = 10; y₂ = 2; m₁ = 5; m₂ = 3

Thus, (x, y) gives us;

(5*10 + 3*2)/(5 + 3), (5*2 + 3*-6)/(5 + 3)

D(x, y) = (7, -1)

Now, we need to find the coordinates of C

We will use coordinate system which means the coordinate of x will be the as x coordinate of A since, AC is vertical line

And coordinate of y will be same as y in D since CD is horizontal line. Thus, coordinate of C is; C(2,-1).

Read more about Line segment partition at; brainly.com/question/17374569

#SPJ1

You might be interested in
16. The graph of the function
den301095 [7]

\text{Hello there!}\\\\\text{Our original equation is: y = 4x + 1}\\\\\text{Our new equation must be translated 3 units up}\\\\\text{This means that we're going up on the y axis, meaning that our}\\\text{"beginning point" will change}\\\\\text{Our beginning point is 1, so just add 3 to it}\\\\1+3 = 4\\\\\text{Put 4 as your beginning point in the equation:}\\\\y=4x+4\\\\\boxed{\text{Answer: y = 4x + 4}}

8 0
3 years ago
Find the Area. Use 3.14 for Pi. Label your answer with ft2.
aivan3 [116]

Answer:

133.04ft²

Step-by-step explanation:

Area of a circle is:

A=\pi r^2\\\\r - \text{Radius.}

We are given the diameter. The radius of the given circle is 6. Note that the diameter is twice the radius.

Using 3.14 for pi:

A=3.14(6)^2\\\\A=3.14*36\\\\A\text{ } $$\approx$$\text{ }113.04

The area is appropriately 133.04ft².

Hope this helps.

8 0
3 years ago
Read 2 more answers
Two athletic directors purchased tennis balls and baseballs at the same store. The first athletic director bought 5 tennis balls
Setler79 [48]
The price of a baseball is $3.75. This problem can be solved using an elimination between two equation with two variables in it which are, 5x + 3y = 23.75 and 2x + 7y = 31.25. First, multiply the first equation by 2 and the second equation by 5 which resulting in 10x + 6y = 47.5 and 10x + 35y=  156.25 and then eliminate the x variable resulting in 29y = 108.75. The baseball price can be acquired from this equation (y = 3.75) because y variable represents the baseball price.
6 0
3 years ago
Use the given information and a calculator to find to the nearest tenth of a degree
Schach [20]

Answer:

111.4 degrees

Step-by-step explanation:

Let's write cos x = -0.3646.  Or, look up the symbols chart at the bottom of your page and click on Ф to obtain this character:  cos Ф = -0.3646.

If Ф is in Quadrant III, then the adjacent side is negative and the hypotenuse is positive.  

                                                         -1

Type this into your calculator:  cos     -0.3646.  Result:  1.934 (radians)

This converts to degrees as follows:

1.934 rad      180 degr

--------------- * --------------- = 111.4 degrees.  Note that this angle is in QIII.

        1              π rad

8 0
3 years ago
Why are plastic bears the only animal you can get honey from? Why can't you get honey from a plastic bee?
Marina CMI [18]

Answer:

this is from yahoo answers hope it helps you!!

6 0
3 years ago
Other questions:
  • Graph the line 2x + y = 7.
    10·2 answers
  • A TV company when purchasing thousands electronic components apply this sampling plan: randomly select 15 of them and then accep
    11·1 answer
  • Let g(x) be the reflection of f(x) in the x-axis. What is the function rule for g(x)? Let g(x) be the reflection of f(x) = 3x +
    10·1 answer
  • 225 as a fraction form
    5·1 answer
  • 3 ( 1 - 3x =2 (-4× + 7)​
    11·1 answer
  • How far apart is 27 and -54
    6·1 answer
  • 1. You have worked for your current employer for 60 months.
    11·1 answer
  • 3. What is the answer to the second<br> example? -2+6 2x-6
    5·1 answer
  • Given = 1/(−3), what is ((+ℎ)−())/ℎ ?
    15·1 answer
  • B
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!