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Vsevolod [243]
3 years ago
6

Someone please help me it's worth five points ;))))

Mathematics
1 answer:
allsm [11]3 years ago
5 0
B is your answer. Hope this helps!
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The coordinates of the three vertices of the triangle are A (x1, y1), B (x2, y2), C (x3, y3).
kaheart [24]

Answer:

Step-by-step explanation:

Using the section formula, if a point (x,y) divides the line joining the points (x  

1

​

,y  

1

​

) and (x  

2

​

,y  

2

​

) in the ratio m:n, then  

(x,y)=(  

m+n

mx  

2

​

+nx  

1

​

 

​

,  

m+n

my  

2

​

+ny  

1

​

 

​

)

The vertices of the triangle are given to be (x  

1

​

,y  

1

​

),(x  

2

​

,y  

2

​

) and (x  

3

​

,y  

3

​

). Let these vertices be A,B and C respectively.  

Then the coordinates of the point P that divides AB in l:k will be

(  

l+k

lx  

2

​

+kx  

1

​

 

​

,  

l+k

ly  

2

​

+ky  

1

​

 

​

)

The coordinates of point which divides PC in m:k+l will be  

⎩

⎪

⎪

⎪

⎨

⎪

⎪

⎪

⎧

​

 

m+k+l

mx  

3

​

+(k+l)  

(l+k)

lx  

2

​

+kx  

1

​

 

​

 

​

,  

m+k+l

my  

3

​

+(k+l)  

(l+k)

ly  

2

​

+ky  

1

​

 

​

 

​

 

⎭

⎪

⎪

⎪

⎬

⎪

⎪

⎪

⎫

​

 

⇒(  

m+k+l

kx  

1

​

+lx  

2

​

+mx  

3

​

 

​

,  

m+k+l

ky  

1

​

+ly  

2

​

+my  

3

​

 

​

)

6 0
2 years ago
Section 5.2-9. Solve the following system of equations by substitution or elimination. Enter your answer as (x,y).2x+y = 2-3x-2y
Alika [10]
\begin{gathered} (2x+y=2)\times2 \\ -3x-2y=-8 \\ 4x+2y=4 \\ -3x-2y=-8 \\ \text{subtract above two equations} \\ x=-4 \\ \text{put the value of x in equation 1st then get y} \\ 4(-4)+2y=4 \\ -16+2y=4 \\ 2y=20 \\ y=10 \\ (x,y)=(-4,10) \end{gathered}

6 0
1 year ago
Read 2 more answers
There are 125 people in a sport centre. 59 people use the gym. 70 people use the swimming pool. 55 people use the track. 25 peop
klemol [59]

Answer:97/125

Step-by-step explanation:

“As illustrated in the Venn diagram,

We let

U=[The total number of people at the sport center]

This implies that,

n(U)=125

G=[Those who use the gym]

This implies that,

n(G)=59

P=[Those who use the pool]

This implies that,

n(P)=70

T=[Those who use the track]

This implies that,

n(T)=55

a=[Those who use the gym only]

This implies that,

n(a)=59-(6+11+19)=59-36=23

b=[Those who use the pool only]

This implies that,

n(b)=70-(6+19+24)=70-49=21

c=[Those who use the track only]

This implies that,

n(c)=55-(6+24+11)=55-31=14

Also, number of people who use gym and track=11+23+19+6+14+24=97”

8 0
3 years ago
Read 2 more answers
Kelly’s baby brother weighs 7.71 is pounds. Her newborn kitten weighs 0.24 pound. How much more does kelly’s baby brother weigh
sleet_krkn [62]

Answer:

7.47

Step-by-step explanation: 7.71-0.24=7.47 which is how you find how much more the baby weighed than the kitten

3 0
3 years ago
What is the length of a side of a cube with a volume of 729 m3?
Law Incorporation [45]
So, You Need To Find The Length Of One Of The Sides. So, Lets Find It Using The Cubed Method. 10*10*10 = 1000, So It Can't Be 10. 5*5*5 = 125, So It Needs To Be Bigger. 7*7*7 = 343, So Bigger. 8*8*8 = 512, So Bigger. 9*9*9 = 729m^3, So, The Side Length Of The Cube Is 9 Meters. I Hope This Helps!

3 0
3 years ago
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