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
If 3x plus 2 equals 90 then what is the value of x
Firdavs [7]

Hello!

3x+2=90

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓↓

First you had to subtract by 2 from both sides of the equation.

3x+2-2=90-2

Simplify

3x=88

Then you divide by 3 from both sides of the equation.

\frac{3x}{3}=\frac{88}{3}

Simplify it should be the correct answer.

x=\frac{88}{3}

Answer⇒⇒⇒⇒⇒x=88/3

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

4 0
3 years ago
Write 10 toolbars on the keyboard​
posledela

Answer:

WINKEY + D. ...

WINKEY + SPACE. ...

SHIFT + Mouse Click on a taskbar button. ...

CTRL + SHIFT + Mouse Click on a taskbar button. ...

SHIFT + Right Mouse Click on a taskbar button. ...

SHIFT + Right Mouse Click on a grouped taskbar button. ...

CTRL + Mouse Click on a grouped taskbar button. ...

WINKEY + T.

ctrl + X = cut

ctrl + c = copy

make me brainliest

3 0
3 years ago
In a right triangle the lengths of the legs are a and b. Find the length of a hypotenuse, if: a=3, b=4;
prohojiy [21]

Answer:

The hypotenuse is 5

Step-by-step explanation:

We can use the Pythagorean theorem to find the hypotenuse of a right triangle

a^2 +b^2 =c^2 where a and b are the legs and c is the hypotenuse

3^2 +4^2 =c^2

9+16=c^2

25=c^2

Take the square root of each side

sqrt(25) =sqrt(c^2)

5 = c


6 0
3 years ago
Read 2 more answers
What is the solution of the equation 3^5 sqrt (x+2)^3+3=27?
BlackZzzverrR [31]
3^5) (x + 2)^(3/2) + 3 = 27 
<span>(x + 2)^(3/2) = 24 / 243 </span>
<span>x + 2 = [ 24 / 243 ]^(2/3) </span>
<span>x + 2 = [ 8 / 81 ]^(2/3) </span>
<span>x = [ 4 / 81^(2/3) ] - 2 =-1.786

the answer is x=-1.786</span>
4 0
3 years ago
Read 2 more answers
HELP DUE 8:30 will give brainliest
MariettaO [177]

The roots of the parabola is where the x-intercepts are so the answer is x=-1 and x= 5

5 0
3 years ago
Other questions:
  • May someone help me on this please please please
    6·1 answer
  • Determine f (x) = (x + 1)(x - 3)(x - 4)
    7·1 answer
  • NEED HELP ASAP
    7·2 answers
  • If you know that <img src="https://tex.z-dn.net/?f=m%5Cangle%20EHF%3D90%5E%7B%5Ccirc%7D" id="TexFormula1" title="m\angle EHF=90^
    12·1 answer
  • Please help find the value of the expression and show work thank you
    14·2 answers
  • Given the system below:
    8·2 answers
  • Estimate decimals sums and differences
    7·1 answer
  • Write 1 3/4 as a decimal number.
    13·1 answer
  • 96 = 12d<br><br> A. 108 B. 84 C. 8 D. −1 8
    10·2 answers
  • Toby has five coins. Three of the coins add up to 30p. Three of the coins add up to 40p. All the coins add up to 50p. List Tony'
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!