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
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 )

You might be interested in
Finals are​ over, and you are moving back home for the summer. You need to rent a truck to move your possessions from the colleg
rewona [7]
In short you just multiply 0.480.48 by the amount of miles you drive add that to 24.9024.90 and you get you total
for example: if you take the first company if you drive 200 miles per day it will cost you 24.9024.90 with an extra 96.096 wich will add up to 120.99849 in total per day 
5 0
3 years ago
Which of the following statements is true for ∠a and ∠b in the diagram?
Iteru [2.4K]

Answer:

B because they are the same angle

8 0
2 years ago
Read 2 more answers
[ 64 (-8) ] (-2) help it’s for my quiz
Lana71 [14]

(64 \times ( - 8)) \times ( - 2)

( - 512) \times ( - 2)

1024

Therefore, the answer is <u>1</u><u>0</u><u>2</u><u>4</u><u>.</u>

<h3><em>Benjemin</em></h3>

3 0
3 years ago
Mr. Jackson took the 8th grade class on
Firdavs [7]

Answer:

17/7

Step-by-step explanation:

the ratio would be 51/21 then to simplify divide both numbers by 3 to get 17/7

3 0
3 years ago
Read 2 more answers
6(x+1)/5=5x-3 help please?
Korolek [52]
First, multiply each side by 5

6(x+1) = 25x-15

distribute the 6

6x+6=25x-15

put the x's on the same side and the other numbers on the opposite side

21=19x

Divide by 19 to isolate the x

21/19=x
4 0
3 years ago
Read 2 more answers
Other questions:
  • Lila forgot the security code for her apartment building. The code is two different digits followed by a capital letter. How man
    13·2 answers
  • Half an hour times 5
    13·1 answer
  • What is the standard form of the number shown in this caculator display? 3.82eplus7​
    14·1 answer
  • ANSWER ASAP PLEASE!!!!!!!!!!!!!
    8·2 answers
  • The equation of a circle is ( x - 3) 2 + ( y + 2) 2 = 25. The point (8, -2) is on the circle.
    11·1 answer
  • Suppose a 95% confidence interval for μ has been constructed. If it is decided to take a larger sample and to decrease the confi
    13·1 answer
  • WHAT IS X AND PLEASE SHOW WORK!!!!
    5·1 answer
  • Find the product. (y^2)^5 · y 8
    5·2 answers
  • Mateo and Tyrone collect baseball cards. Mateo has 27 pages in his binder with 9 cards on each page. If the boys have a total of
    5·2 answers
  • How many solutions does -6p + 7 = 7 - 6p have?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!