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Schach [20]
3 years ago
14

The equations of sides of a triangle are 2x-3y+5=0, 2x+y=7 and 2x+5y=3. Find the coordinates of the vertices.

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
8 0

Answer:

Vertices A B y C

A ( 2 , 3 )    B ( -1 , 1 )  C ( 3, 1 )

Step-by-step explanation:

We have to solve a two-equation system, by pair of equations as follows

equation (1)   2x - 3y + 5 = 0

equation (2)  2x + y -7    = 0

Solving this system we find let´s say vertex A

0x - 4y +12 = 0      y = 3

Then x ?

2x - 3y + 5 = 0

2x - 9 + 5 = 0     ⇒ 2x = 4     x = 2

Then vertex A ( 2 , 3 )

From equation (1) and (3)

2x - 3y + 5 = 0

2x + 5y - 3 = 0

Agan subtracting (1) - (2)

0x -8y + 8 = 0

y = 1    and      

2x + 5y = 3

2x + 5 = 3

2x = -2

x = -1

Vertex B ( -1 , 1 )

Finally from equation (2) and (3) we get the third vertex C

2x + y - 7 = 0

2x + 5y - 3 = 0

0x -4y -4 = 0

y = 1

2x + y = 7

2x + 1 = 7

2x = 6

x = 3

C ( 3 , 1 )

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Answer:

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Step-by-step explanation:

Hope this helps, have a good day. c;

4 0
3 years ago
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Is the answer number 1? I can't get anymore wrong sorry for lengthy problem thanks!
mezya [45]
The area of the circle shown would not be 5pi. If you look closer, the area is 25pi, therefore the answer is 3. I hope this helps!
8 0
3 years ago
Find the value of x ?
enyata [817]

Answer:

Step-by-step explanation:

∠E = ∠G

∠D= ∠F because it’s a parallelogram ==> D=F=2x+12 and E=G=5x

5x+2x+12=180

7x=168

X=24

Solution 2:

2*5x+2*(2x+12)=360

10x+4x+24=360

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4 0
3 years ago
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Use distributive property to clear parentheses-(3x-4y+5z)=
Vadim26 [7]

Answer:

-3x + 4y -5z

Step-by-step explanation:

-3x -(-4y) -5z

-3x+4y-5z

6 0
3 years ago
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Answer:

B and E

Step-by-step explanation:

The zero of a function is whatever point on the function where the y-value is zero. Hope this helped.

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