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
chubhunter [2.5K]
2 years ago
14

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?
(20pt)
because the system of equations actually has only one solution
because the system of equations actually has no solution
because the graphs of the two equations overlap each other
because the graph of one of the equations does not exist
Mathematics
1 answer:
Oksanka [162]2 years ago
6 0

Answer:

"because the graphs of the two equations overlap each other"

Step-by-step explanation:

If he graphs both equations on the graphing calculator and it shows only one line this can mean only one thing:

<em>Both linear equations are the same</em>

An example of this is

x+y=2

2x+2x=4

If you simplify the second equation by dividing everything by 2 you get the same equation as the first one

This means the answer would be "because the graphs of the two equations overlap each other"

<em />

You might be interested in
98 Points! Answer Quick!
timama [110]

Reason:

2. SD ⊥ HT. ∴ ∠SDH = ∠SDT =90°

3. Given (It is given in the question)

5. RHS congruence

(Here, the right angle, hypotenuse and one side of ΔSHD is congruent to that of ΔSTD).

Statement:

4. Line segment SD = SD

(Reflexive property is used to prove congruence of triangles. This property is used when an angle or line segment is congruent to itself.)


7 0
3 years ago
Read 2 more answers
Chan deposited money into his retirement account that is compounded annually at an interest rate of 7%. Chan thought the equival
dedylja [7]

Answer:

No, equivalent quarterly rate will be approx 1.75%

Step-by-step explanation:

Given that Chan deposited money into his retirement account that is compounded annually at an interest rate of 7%.

We know that there are 4 quarters in 1 year.

So to find that equivalent quarterly we will divide given yearly rate by number of quarters.

That means divide 7% by 4.

which gives 1.75%.

But that is different than Chan's though of 2% quarterly interest.

Hence Chan is wrong.

4 0
3 years ago
How do I solve x(3x-17)=0 using the square root property
scZoUnD [109]

Answer:

x = 0 or x = \frac{17}{3}

Step-by-step explanation:

We have the quadratic equation of variable x and we have to solve the equation using the square root property.

Now, we have x(3x - 17) = 0

⇒ 3x² - 17x = 0

⇒ 3(x^{2}  - \frac{17}{3}x ) = 0

⇒ x^{2} - 2 \times (\frac{17}{6}) \times x + (\frac{17}{6} )^{2} = (\frac{17}{6} )^{2}

⇒ (x - \frac{17}{6})^{2} = (\frac{17}{6} )^{2}

Now,square rooting both sides we get,  

x - \frac{17}{6} = \pm\frac{17}{6}

Therefore, either x = 0 or x = \frac{17}{3} (Answer)

8 0
3 years ago
If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then m
Korvikt [17]

Answer:

The final integration in the given limits will be 89.876

6 0
3 years ago
How do i write it please and the answer
natali 33 [55]
Use your keyboard and if that doesn’t work on the right top comet there’s a pen that should work :))
4 0
2 years ago
Read 2 more answers
Other questions:
  • Please help.........................................................
    5·2 answers
  • Tremaine is mailing a package to his grandmother. Which tool and unit could be used to measure the weight of the package?
    13·2 answers
  • How do you put 11.85 as a fraction
    14·1 answer
  • If 4 times a number is 48, what is the number?
    9·2 answers
  • Commutative property of addition <br> 9+8=17
    11·2 answers
  • Explain the difference between (-5)2 and -5)2
    11·1 answer
  • What is the average per day?
    14·2 answers
  • What is the area of a parallelogram if the base is 18 inch and height is 6
    13·2 answers
  • Find the different of the two sums,14581 add 18541 and 23427 + 23243
    15·1 answer
  • Which two equations represent a nonlinear function?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!