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
sesenic [268]
3 years ago
8

(30 points)

Mathematics
1 answer:
Pani-rosa [81]3 years ago
8 0

The vertices of the triangle are the points where any pair of lines intersect.

We start by setting up the system

\begin{cases}y=-x+2\\y=2x-1 \end{cases} \iff -x+2=2x-1 \iff 3x=3 \iff x=1

Using one of the two equations we can derive the correspondent y value:

f(x)=-x+2 \implies f(1)=-1+2 = 1

So, one vertex is (1, 1)

We choose the other two pairs of lines to find the other vertices:

\begin{cases}y=-x+2\\y=x-2 \end{cases} \iff -x+2=x-2 \iff x=2 \implies y = 0

\begin{cases}y=x-2\\y=2x-1 \end{cases} \iff x-2=2x-1 \iff x=-1 \implies y=-3

So, the three vertices are (1, 1), (2, 0), (-1, -3).

You might be interested in
The following list shows how many brothers and sisters some students have: 3, 2, 3, 2, 1, 2, 1, 3, 4, 5, 4, 3, 1, 2 State the mo
Wewaii [24]

Answer:

2 and 3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Guys please help me I don’t understand and my test is due at 12 I only have 40min HELP GREATLY APPRECIATED!!!
ICE Princess25 [194]

Answer:

{9} Slope: -1

Y-intercept = 0

Step-by-step explanation:

Slope-----

Recall slope-intercept form

y=mx+b, with slope m and a y-intercept of b. With this in mind, we can rewrite our equation as y=−x+0

We see that our slope, or coefficient on x, is −1.

Y-intercept-----

We can rewrite this equation as:y=1x+0

The slope-intercept form of a linear equation is: y=mx+b

Where m is the slope and b is the y-intercept value.

For this equation:y=1x+0

Therefore:

The slope is m=1

The y-intercept is b=0 or (0,0)

Hope this helps!

3 0
3 years ago
Sam's age is 125% of mary's age. mary's age is p% of sam's age. what is the value of p?
ddd [48]
Let Sam be (S+8) years while his sister is S years.

S(S+8) = 105

S^2+8S-105 = 0

(S+15)(S-7) = 0

Sam’s sister is 7 years and Sam is 15 years old.
7 0
2 years ago
Which statement describes the changes that were made to the graph of f to make the graph of g
ira [324]

Answer:

hell

Step-by-step explanation:

5 0
3 years ago
True or false 798.7 divided by 1,000= 7.987
aleksandrvk [35]

False. 798.7 divided by 1000 is 0.7987 because 1000 has three zeros, so you move the decimal point three units/numbers to the left

False. 73.09 divided by 100 is 0.7309, you are not multiplying by 100

False. 75.04 divided by 10 is 7.504, you are not multiplying by 10

3 0
3 years ago
Read 2 more answers
Other questions:
  • Please show your work. Thank you for taking the time of day to help me!
    13·2 answers
  • Use order of operations to solve. PEMDAS 7+8(3*3-2)
    14·1 answer
  • X+8=-15 help again sorryyy
    12·1 answer
  • Please help with explanation and show work :)
    12·1 answer
  • Given right triangle ABC, what is the value of tan(A)?
    8·1 answer
  • Help please no wrong answer
    10·2 answers
  • My teacher showed me this riddle can anyone help???
    14·1 answer
  • Avery has aleady spent 1 minute on the phone, and she expects to spend 3 more minutes with every phone call she routes. Write an
    9·1 answer
  • What is the slope of this line?<br> undefined<br> Zero<br> 8<br> -2
    5·1 answer
  • What is the perimeter of a square
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!