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
Tatiana [17]
3 years 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?
A.
(2, -3)
B.
(5, -3)
C.
(7, -1)
D.
(2, -1)

Mathematics
2 answers:
KIM [24]3 years ago
5 0

Answer:

D

Step-by-step explanation:

First, find the coordinates of pointD if A(2,-6), B(10,2) and point D divides line segment AB in the ratio of 5:3.

If point D divides the segment AB in the ratio m:n, then

D\left(\dfrac{nx_A+mx_B}{m+n},\dfrac{ny_A+my_B}{m+n}\right)

So

D\left(\dfrac{3\cdot 2+5\cdot 10}{5+3},\dfrac{3\cdot (-6)+5\cdot 2B}{5+3}\right)=D(7,-1)

Point C has the x-coordinate the same as point A and the y-coordinate the same as point D.

Thus, C(2,-1)

DochEvi [55]3 years ago
5 0

Answer:

D.(2, -1)

Step-by-step explanation:

As you can see you only need to calculate the Y of the point C since the X can be reasoned out from the fact that it is a vertical line that goes up from point A which is located on (2,-6), so point C will be in x=2 as well, now we jsut have to calculate where is located on the Y point D, since point C and D are horizontally placed on the same line, they will share value for Y.

If AB= (2-(-6) = (2+6)=8, and AB is divided by point D in a ratio of 5:3, this means that from A to D on the Y vector there are 5 units of difference so you just add them up: -6+5=-1, and you´ve found the Y.

So the point C is located in (2,-1).

You might be interested in
HELLLPPPPPPPPPPPPPPPPPPPPPPPP
ratelena [41]

Answer:

Domain: (-3,1]

Range:  [-4,0]

x-intercepts: -3, 0

y-intercepts: 0

3 0
2 years ago
Read 2 more answers
One study found that the number of interest groups increased by what percentage between 1959 and 1995?
FrozenT [24]

Answer:

Percentage change in interest groups between 1959 (500) & 1995 (600) = 20%

Step-by-step explanation:

Percentage change = <u>Change ie (New - Old)  </u>  x 100

                                        Old value

Suppose -

Number of interest groups in 1959 = 500

Number of interest groups in 1995 = 600

Percentage change = [ (600 - 500) / 500 ] x 100

( 100 / 500 ) x 100 = 20%

6 0
3 years ago
Please help !!!!!!!!!!!
shusha [124]
Answer is C have fun
4 0
3 years ago
Need your help in trigonometry! please help
iren2701 [21]

Answer:

Step-by-step explanation:

6 0
2 years ago
Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7.
Alecsey [184]

<u><em>Answer:</em></u>

y^2 = 28x

<em><u>Step-by-step explanation:</u></em>

Since the directrix is horizontal, use the equation of a parabola that opens left or right.

(y−k)^2 = 4p(x−h)

Find the vertex.

(0,0)

Find the distance from the focus to the vertex.

p = 7

Substitute in the known values for the variables into the equation

(y−k)^2 = 4p(x−h).

(y−0)^2 = 4(7)(x−0)

Simplify.

<em>y^2 = 28x</em>

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the area of the sector shown in the picture
    9·1 answer
  • A cylinder has a circular base with a diameter of 12 ft the height of the cylinder is 4 feet what is the volume of the cylinder
    5·1 answer
  • Find the product of this question down below
    15·1 answer
  • How do I slove this eqaution, and whats the answer?<br> -3(n+6)+10=-9
    11·1 answer
  • In the context of relationship between variables, increases in the values of one variable are accompanied by increases in the va
    11·1 answer
  • Please help to find the matches (I included a partial screenshot below).
    11·1 answer
  • Mr. Matthews bought his house in New York City in 2020. If the trend continued, how much was he likely to have paid?
    12·1 answer
  • Round to the nearest tenth.<br><br> x= <br><br> y=
    5·1 answer
  • Write 23/18 as a decimal.
    14·1 answer
  • 88π<br> Rational or irrational <br> Good answer i mark brainlest
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!