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
Katena32 [7]
1 year ago
15

Given the equation y=2x+3, write a second equation that would create an independent consistent linear system

Mathematics
1 answer:
STALIN [3.7K]1 year ago
3 0

Two equations will be called independent if their graphs touch only on one point (they have one solution for the x-value and one solution for the y-value), and two equations will be dependent if they touch at every point (there is an infinite number of solutions).

This definition of independent and dependent equations is shown in the following diagram. Consider that there are two lines, one red line and one blue line:

They are independent if they touch only on one point and dependent if they touch at every point (they are the same line).

In our case, we are asked to write an equation in order to create an independent consistent linear system.

Note: Consistent means that the system has a solution.

First, we graph the given equation:

y=2x+3

There are many different equations that will form an independent consistent linear system with this equation.

We are going to choose the following line equation:

y=-x+1

Because when we graph this equation next to the previous line:

We can see that they touch at one point, thus there is a solution and the system is independent --> we have created an independent consistent linear system.

Answer:

y=-x+1

You might be interested in
Complete the following statement with the number that makes it true.
Step2247 [10]

Answer: 1000

____________________________________________________________

kilogram, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38 ... 1 kg = 1000 grams.

8 0
3 years ago
Could someone please help me with this?
allsm [11]

Answer:

21.5 mm^2

Step-by-step explanation:

First find the area of the square

A = s^2 = 10^2 =100

Then find the area of the circle

d = 10 so r = d/2 = 10/2 =5

A = pi r^2

A = 3.14 (5)^2 =78.5

The difference is the shaded region

100-78.5 =21.5

7 0
3 years ago
Read 2 more answers
Solve for x<br> 10<br> *<br> 90⁰<br> 26
musickatia [10]

Answer:

x=24

Step-by-step explanation:

x=√(26)²-(10)²

x=√676-100

x=√576

x=24

4 0
2 years ago
Triangle MNO is an equilateral triangle with sides measuring units. What is the height of the triangle? a) 12 units b) 24 units
Alecsey [184]

Answer:

The height of the equilateral triangle is 24 units

Step-by-step explanation:

In the question above, the unit of the side of the equilateral triangle is not given. If the complete question is:

Triangle MNO is an equilateral triangle with sides measuring 16 square root of 3 units, then the length of each side is 16√3 units.

To find the height of the triangle, we use Pythagoras theorem

MP^2 + PO^2 = MO^2

Let MP^2 be x

x^2 + {(16√3)/2}^2 = (16√3)^2

X^2 + (256*3)/4 = 256*3

4x^2 + 768 = 768* 4

4x^2 + 768 = 3072

4x^2 = 3072-768

4x^2 = 2304

X^2 = 2304/4

X^2 = 576

x= √576

x = 24 units

4 0
4 years ago
Read 2 more answers
Write and solve an equation to represent the following situation.
LuckyWell [14K]

Answer:

6 + 7x = 27

x = 3cm

Step-by-step explanation:

so the question lets us know 3 things:

1) Sarah has a 27 ft pipe

2) she cuts 6 ft off

3) she cuts remaining pipe into 7 equal sections

what we don't know from the question is how big each of those 7 sections were. To form the equation we do this.

Since we know Sarah has 27 ft of pipe that would be our answer of the equation.

Sarah also removed 6 ft and the rest of the pipe she cut up into 7 small sections of equal length. since we don't know the length of the 7 smaller sections we will use the variable X to represent the length. this means that 6ft + 7x (X is the length of the pipes, and we multiply by 7 since there are 7 of them) must equal Sarah's total length of 27ft, therefore meaning our education would be

6 + 7x = 27

to solve for how long each pipe was, we need to solve for X by rearranging the equation as shown bellow.

7x = 27 - 6

7x = 21

x =  \frac{21}{7}

x = 3cm

4 0
3 years ago
Other questions:
  • 50 Points!
    13·2 answers
  • For the given function f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain.
    11·1 answer
  • Kimberly drives at a rate of 50 miles per hour on her trip across the country. If it takes Kimberly 200 gallons of gasoline to d
    8·1 answer
  • What does the expression 2(21x + 75) represent
    5·1 answer
  • Can someone help me plssss I need to turn this to night !!!!!!!!
    13·1 answer
  • Guys help don't have enough time left. This can really effect everything if this is correct so try your best.
    8·2 answers
  • Find each quotient .<br><br> 3 1/6 ÷ 2
    6·1 answer
  • What is the probability of rolling a 1 or 2 when a six-sided die is rolled 700 times. Round your answer to the nearest whole num
    7·2 answers
  • 3
    15·2 answers
  • Enlarge the triangle by scale factor of -1/3
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!