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fgiga [73]
2 years ago
5

To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry d

ecided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this?
Mathematics
1 answer:
seraphim [82]2 years ago
3 0

Answer:

Step-by-step explanation:

Both lines have same slope so the graph of both equation will be same and hence it will overlap each other that is why the Henry  could only see one line.

Step-by-step explanation:

Given  : A system of linear equation 3x - 2y = 4 and 9x - 6y = 12  

We have to show whey when Henry  graphed the equations 3x-2y=4 and 9x-6y=12 he could only see one line.

Consider the given system of linear equation

3x - 2y = 4 ................(1)

9x - 6y = 12   ..................(2)

Since,

Equation (2) is multiple of equation (1),

3 × ( 3x - 2y = 4) = 9x - 6y = 12  

Also the slope of given equations are same

For equation (1),

Differentiate with respect to x, we get,

3-2dy/dx = 0

dy/dx = 3/2

Also for equation (2),

Differentiate with respect to x, we get,

9 - 6dy/dx = 0

dy/dx = 9/6 = 3/2

Since, both lines have same slope so the graph of both equation will be same and hence it will overlap each other.

That is why the Henry  could only see one line.

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4.890 in expanded form?
dangina [55]

Answer: The student’s values are accurate as well as precise.

Explanation:

Precision refers to the closeness of two or more measurements to each other.

For Example: If you weigh a given substance three times and you get same value each time. Then the measurement is very precise.

Accuracy refers to the closeness of a measured value to a standard or known value.

For Example: If the mass of a substance is 50 kg and one person weighed 49 kg and another person weighed 48 kg. Then, the weight measured by first person is more accurate.

Given: Mass = 5.000 g

Mass weighed by A has values 4.891 g , 4.901 g and 4.890. Thus the average value is

Thus as the measured value is close to the true value, the student’s values are accurate and as the values are close to each other, the measurement is precise.

6 0
3 years ago
The red Maserati traveled at a speed of 120km/h for 5 hours one day. The green Ford Pickup traveled at a speed of 74km/h for 6 h
ehidna [41]

Answer:

156km

Step-by-step explanation:

Given data

The red Maserati traveled at a speed of 120km/h for 5 hours one day.

Distance = speed*time

Distance= 120*5

Distance= 600km

The green Ford Pickup traveled at a speed of 74km/h for 6 hours

Distance = speed*time

Distance= 74*6

Distance= 444km

Hence the difference is

=600-444

=156km

8 0
3 years ago
Find the surface area of each figure. Round your answer to the nearest tenth if necessary.​
dedylja [7]

Answer:

556

Step-by-step explanation:

Surface area of the cuboid=2*(lb+bh+lh)

Surface area=2*(110+80+88)=556

3 0
3 years ago
What is this equation problem 3n+16=7n
Monica [59]
If you mean what is n, then n = 4
7 0
3 years ago
Read 2 more answers
3x+2y-5z=-1<br> 4x-3y+2z=-13<br> 2x-5y+4z=-9
Lina20 [59]

34252

I just guessed but here

5 0
3 years ago
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