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2 years ago

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]2 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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Step-by-step explanation:

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Elena L [17]

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Step-by-step explanation:

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2 years ago

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vampirchik [111]

I am sure you are trying to type

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Answer:

Assuming the question is asking how much time it takes each way, the answer would be 2 minutes from the hive to the flowerbed and 3 minutes back.

Assuming the question is the amount of distance between the hive and the flower bed, the answer is 1080 feet.

Step-by-step explanation:

So the total amount of time it was away from the hive was 20 minutes. Out of those 20 minutes, 15 minutes were spent in the flowerbed. So that means travel time was 5 minutes. Now, going is 9 and coming back is 6, so 9+6=15, 5/15=1/3, 1/3*9=3 and 1/3*6=2

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If it's the commute time, we already solved that.

If I didn't answer the real question, please just comment on this.

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