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
Dahasolnce [82]
3 years ago
15

What are the coordinates of point B in the diagram?

Mathematics
2 answers:
Andrej [43]3 years ago
8 0
Let the cordinates of B be (x, y), then
(3(1) + x)/4 = 1.75 and (3(5) + y)/4 = 2.5
3 + x = 7 and 15 + y = 10
x = 7 - 3 and y = 10 - 15
x = 4 and y = -5

Therefore, the coordinate of B is (4, -5)
Vinil7 [7]3 years ago
6 0

Answer:  The co-ordinates of point B are (4, -5).

Step-by-step explanation:  We are given to find the co-ordinates of point B in the diagram.

From the diagram, we note that

the co-ordinates of point A and C are (1, 5) and (1.75, 2.5) respectively.

Also, the point C divides the line segment AB internally in the ratio 1 : 3.

We know that if a point P divides a line segment joining the points (a, b) and (c, d) internally in the ratio m : n, then the co-ordinates of the point P are

P=\left(\dfrac{mc+na}{m+n},\dfrac{md+nb}{m+n}\right).

Here, (a, b) = (1, 5), m : n = 1 : 3  and  (c, d) = ?

Therefore, the co-ordinates of point C will be

C=\left(\dfrac{1\times c+3\times1}{1+3},\dfrac{1\times d+3\times5}{1+3}\right)\\\\\\\Rightarrow (1.75,2.5)=\left(\dfrac{c+3}{4},\dfrac{d+15}{4}\right)\\\\\\\Rightarrow 1.75=\dfrac{c+3}{4},~~~~~2.5=\dfrac{d+15}{4}\\\\\\\Rightarrow c+3=7,~~~~~~~~\Rightarrow d+15=10\\\\\\\Rightarrow c=4,~~~~~~~~~~~~~\Rightarrow d=-5.

Thus, the co-ordinates of point B are (4, -5).

You might be interested in
The area of the rectangle to the right is 68 square feet
den301095 [7]

Step-by-step explanation:

We know that

  • Area of the rectangle=Length×Breadth

➝(x+4)(x-9)=68

➝x(x-9)+4(x-9)=68

➝x^2-9x+4x+-32=68

➝x^2-5x-32=68

➝x^2-5x=68+32

➝x^2-5x=100

➝x^2-5x-100=0

  • The equation has no real roots hence this situation can't be possible
6 0
3 years ago
Which inquality matches the graph?<br> A;x&gt;3<br> B:x&lt; 3<br> C;x_&lt; 3<br> D;x _&gt;3
Cloud [144]

Answer:

Step-by-step explanation:

b i believe, im not sure

8 0
3 years ago
Plz help me with 2,3,4,5,6,7,8,9,10,11
Nana76 [90]
2. prism
3. cylinder I think but could be a cone idk
4. triangular pyramid 
5. pentagonal pyramid 
6. cylinder
7. rectangular prism
8. idk 
9. hexagonal prism <span />
6 0
3 years ago
Help fast pls. Need it due fast
Gelneren [198K]
3x+8=5x-1
3x-5x=-1-8
-2x=-9
x=4,5

AM=3x4,5+8=21,5
MB=5x4,5-1=21,5
AB=AM+MB
AB=21,5+21,5=43
6 0
3 years ago
Read 2 more answers
Plz answer these questions<br> Answer should be with explanation
yan [13]

Answer:

2/3

Step-by-step explanation:

In the game of chance, the possibility of winning it is 1/3. This is one of two outcomes, winning or losing. Since there is a 1/3 chance of winning it, there leaves only one outcome, losing it. Since 1/3 is a third of a whole, that leaves 2/3 for the other possibility, losing it. We then find that winning it has the chance of 1/3 and losing it has a 2/3 chance.

4 0
3 years ago
Read 2 more answers
Other questions:
  • What two 1-digit factors can u multiply to get 50
    8·1 answer
  • What is the product of these binomials? (x – 6)(x + 2)
    7·2 answers
  • 19,999 round to the nearest thousand
    10·1 answer
  • Identify the equivalent expression -4(b+2) - 3b
    13·1 answer
  • What is the absolute value of the following complex number? -6+3i
    5·2 answers
  • What are the solutions?
    10·1 answer
  • What is the value of x for the parallelogram shown?<br> A. 30<br> B. 75<br> C. 60<br> D. 15
    6·1 answer
  • A factory uses 7 ounces of almonds to make
    13·1 answer
  • PLEAAASSSSEEEEE HELP ME WITH THIS I REALLY NEED HELP PLEASE PUT THE CORRECT ANSWER
    10·1 answer
  • What is the leading coefficient of this expression? *
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!