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
irakobra [83]
3 years ago
5

Please help!

Mathematics
1 answer:
jeka943 years ago
7 0

Answer:

The system of linear inequalities to each graph is the following

1) (Largest graph)

(1) y≤-3x

(2) y≥2x-4


2) (Smallest graph)

(1) y≤x+2

(2) y≤-x-3


Step-by-step explanation:

1) Largest graph

We can see two right lines

a) One of the lines (Line 1) goes through:

Origin: O=P1=(0,0)=(x1, y1)→x1=0, y1=0

P2=(2, -6)→x2=2, y2=-6

Slope line 1: m1=(y2-y1)/(x2-x1)

Replacing the known values:

m1=(-6-0)/(2-0)

m1=(-6)/(2)

m1=-3

Equation line 1:

y-y1=m1 (x-x1)

y-0=-3(x-0)

y=-3x

The region is below this right line, then the first inequality is:

(1) y≤-3x

b) The other line (Line 2) goes through:

P3=(2,0)=(x3, y3)→x3=2, y3=0

P4=(5, 6)→x4=5, y4=6

Slope line 2: m2=(y4-y3)/(x4-x3)

Replacing the known values:

m2=(6-0)/(5-2)

m2=(6)/(3)

m2=2

Equation line 2:

y-y3=m2 (x-x1)

y-0=2(x-2)

y=2x-4

The region is above this right line, then the second inequality is:

(2) y≥2x-4

Then, the system of linear inequalities for the largest graph is:

(1) y≤-3x

(2) y≥2x-4


2) Smallest graph

We can see two right lines

a) One of the lines (Line 1) goes through:

P1=(0, 2)=(x1, y1)→x1=0, y1=2

P2=(5, 7)→x2=5, y2=7

Slope line 1: m1=(y2-y1)/(x2-x1)

Replacing the known values:

m1=(7-2)/(5-0)

m1=(5)/(5)

m1=1

Equation line 1:

y-y1=m1 (x-x1)

y-2=1(x-0)

y-2=1(x)

y-2=x

y-2+2=x+2

y=x+2

The region is below this right line, then the first inequality is:

(1) y≤x+2

b) The other line (Line 2) goes through:

P3=(0,-3)=(x3, y3)→x3=0, y3=-3

P4=(5, -8)→x4=5, y4=-8

Slope line 2: m2=(y4-y3)/(x4-x3)

Replacing the known values:

m2=(-8-(-3))/(5-0)

m2=(-8+3)/(5)

m2=(-5)/5

m2=-1

Equation line 2:

y-y3=m2 (x-x1)

y-(-3)=-1(x-0)

y+3=-1(x)

y+3=-x

y+3-3=-x-3

y=-x-3

The region is below this right line, then the second inequality is:

(2) y≤-x-3

Then, the system of linear inequalities for the smallest graph is:

(1) y≤x+2

(2) y≤-x-3

You might be interested in
PLEASE HELP, WILL GIVE BRAINLIEST!! THIS QUESTION NEEDS NO MATHEMATICAL CALCULATION. I JUST NEED THE RIGHT ANSWER PLEASE!!
qaws [65]

Answer:

Answer is D.)

Step-by-step explanation:

If im wrong im really sorry i tried to ork this out in my head as fast as possible.

5 0
2 years ago
Read 2 more answers
Find the length of Cable 1. <br> Find Cable 2 bridge span. <br> Find Length of Cable 2
marysya [2.9K]
Use your knowledge of trig for this. you know the opposite length, 35, and you need to find the hypotenuse. the trig function to use would be SIN.
\sin(60 ) = 35 \div hyp
try to think about which trig functions to use to find the answers for cable 2. if you need more help leave a message.
8 0
3 years ago
Which of the following statements is true for the quadratic equation x2 – 16x + 64 = 0?
irinina [24]

Answer:

Please provide the statements.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
PLEASEEE HELP ME WITH THIS!!!
andreev551 [17]

Answer:

m∠H = 10°

Step-by-step explanation:

ΔFGH is an isosceles triangle. I made a diagram, so m∠F ≅ m∠H by B.A.T(base angle theorem). This is because an isosceles triangle have to congruent sides and angles.

Diagram is attached:

-Chetan K

7 0
3 years ago
Which of the following inequalities is true?
nydimaria [60]
11 < square root of 85 because that is 9.219... ~JZ
7 0
3 years ago
Other questions:
  • Quadrilaterals ABCD and PQRS shown below are two similar figures.<br>Find the values of x and y.​
    15·1 answer
  • Trisha is solving a problem. What are some steps she might take after reaching her solution?
    11·1 answer
  • HELP ASAPPP!!! !!!! PLEASE
    8·2 answers
  • Please help me I really need help with this
    7·1 answer
  • Item 22
    10·1 answer
  • Which inequality is true?
    7·1 answer
  • What is the perimeter of triangle ABC with coordinates of A(3,4), B(3,11), C(27,4)
    15·1 answer
  • Jerome is buying one pair of pants priced at $27.99. The sales tax is 7.5%.
    15·1 answer
  • There is a part c I will have to send it in the text there is not enough room
    6·1 answer
  • What is the equation of the line that is parallel to the graph of y = 2x - 5 and passes through the point (8, 10)?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!