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
nasty-shy [4]
3 years ago
6

Find the equation of the line in gradient form that passes through the points (3,0) and (-2,4)

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
4 0

Answer:

y = (-4/5)x + 12/5

Step-by-step explanation:

Slope = (4-0)/(-2-3) = 4/-5 = -4/5

y = (-4/5)x + c

When x = 3, y = 0

0 = (-4/5)(3) + c

c = 12/5

y = (-4/5)x + 12/5

5y = -x + 12

5y + x = 12

You might be interested in
Your parents put $500 into an account paying 7 percent interest for you when you were ten. ten years later they tell you that yo
dsp73
The answer is $983.58
8 0
3 years ago
Read 2 more answers
Find the smallest relation containing the relation {(1, 2), (1, 4), (3, 3), (4, 1)} that is:
professor190 [17]

Answer:

Remember, if B is a set, R is a relation in B and a is related with b (aRb or (a,b))

1. R is reflexive if for each element a∈B, aRa.

2. R is symmetric if satisfies that if aRb then bRa.

3. R is transitive if satisfies that if aRb and bRc then aRc.

Then, our set B is \{1,2,3,4\}.

a) We need to find a relation R reflexive and transitive that contain the relation R1=\{(1, 2), (1, 4), (3, 3), (4, 1)\}

Then, we need:

1. That 1R1, 2R2, 3R3, 4R4 to the relation be reflexive and,

2. Observe that

  • 1R4 and 4R1, then 1 must be related with itself.
  • 4R1 and 1R4, then 4 must be related with itself.
  • 4R1 and 1R2, then 4 must be related with 2.

Therefore \{(1,1),(2,2),(3,3),(4,4),(1,2),(1,4),(4,1),(4,2)\} is the smallest relation containing the relation R1.

b) We need a new relation symmetric and transitive, then

  • since 1R2, then 2 must be related with 1.
  • since 1R4, 4 must be related with 1.

and the analysis for be transitive is the same that we did in a).

Observe that

  • 1R2 and 2R1, then 1 must be related with itself.
  • 4R1 and 1R4, then 4 must be related with itself.
  • 2R1 and 1R4, then 2 must be related with 4.
  • 4R1 and 1R2, then 4 must be related with 2.
  • 2R4 and 4R2, then 2 must be related with itself

Therefore, the smallest relation containing R1 that is symmetric and transitive is

\{(1,1),(2,2),(3,3),(4,4),(1,2),(1,4),(2,1),(2,4),(3,3),(4,1),(4,2),(4,4)\}

c) We need a new relation reflexive, symmetric and transitive containing R1.

For be reflexive

  • 1 must be related with 1,
  • 2 must be related with 2,
  • 3 must be related with 3,
  • 4 must be related with 4

For be symmetric

  • since 1R2, 2 must be related with 1,
  • since 1R4, 4 must be related with 1.

For be transitive

  • Since 4R1 and 1R2, 4 must be related with 2,
  • since 2R1 and 1R4, 2 must be related with 4.

Then, the smallest relation reflexive, symmetric and transitive containing R1 is

\{(1,1),(2,2),(3,3),(4,4),(1,2),(1,4),(2,1),(2,4),(3,3),(4,1),(4,2),(4,4)\}

5 0
2 years ago
PLS HELP I WILL DO ANYTHING
Lunna [17]

Answer:

the solution for x is x=40

4 0
3 years ago
I GIVR BRAINLIST AND POINTS
PIT_PIT [208]

Answer:

d

Step-by-step explanation:

4 0
2 years ago
How do i solve my math problem (5 carry 3 on top) carry 3 on top again
kvasek [131]
The answer will be 11. Hope it help!
7 0
3 years ago
Read 2 more answers
Other questions:
  • Plz help I have 10 mins left!
    6·2 answers
  • The graph shows the girth of the trunk of a fir tree after different numbers of years:
    5·1 answer
  • Find the minimum and maximum possible areas of a rectangle measuring 6 km by 11 km.
    13·1 answer
  • I have to turn that into the simplest form
    10·2 answers
  • Solve the equation. Check your answer.<br> 23 = 7x + 2 - 4x<br> X=<br> 1 (Simplify your answer.)
    11·1 answer
  • 10 • 4/10y = -28 • 10
    11·1 answer
  • I need help finding the area of the kite​
    14·2 answers
  • Generate an equivalent algebraic expression by combining like terms.<br><br> 2x-6y+2x^2-21-4y+4x-x^2
    13·1 answer
  • Find the slope of any line perpendicular to the line through ( – 6, 4) and (0,2).<br> 25 POINTS
    5·2 answers
  • I keep on getting the wrong answer
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!