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
Sladkaya [172]
3 years ago
11

How do you solve a system of linear equations by graphing? ​

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
6 0

9514 1404 393

Explanation:

This is a self-answering question: you solve it by graphing the equations.

<em>The solution is where the lines intersect</em>. The point of intersection of the lines is the point that satisfies all the equations for the lines, hence is a solution to the system. If they do not intersect, there are no solutions. If the lines are coincident, there are an infinite number of solutions.

__

The equations can be graphed by any of a number of methods. (My favorite is to let a graphing calculator do it.) The method of choice depends on the coefficients and the form the equations are given in. Methods of graphing are a topic for a more lengthy discussion.

You might be interested in
Find XS, VY, and YZ. I am very confused on what to do.​
Dafna1 [17]

Answer:

Do you see the lines and how they are named? I am going to try and explain this in less words than I can. Where it says XS you have to match it up with the lines. But if it says that you have to find XSU (which it does not) you would have to go up all the way but you stop where it says the S so you wont go all  the way up to the U. I hope this helps!

7 0
2 years ago
Which best describes the difference between Protestant and Catholic beliefs?
Natasha_Volkova [10]

Answer:

D. Protestant do not believe in the pope's authority.

Step-by-step explanation:

The most fundamental difference is that Protestants believe that everyone can directly communicate with God and the only authority is scripture, while Catholics believe that, in addition to everything else, there is also the authority of the church as a mediator between God and flock.

7 0
2 years ago
f(x) = 3 cos(x) 0 ≤ x ≤ 3π/4 evaluate the Riemann sum with n = 6, taking the sample points to be left endpoints. (Round your ans
Kruka [31]

Answer:

\int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx\approx 3.099558

Step-by-step explanation:

We want to find the Riemann sum for \int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx with n = 6, using left endpoints.

The Left Riemann Sum uses the left endpoints of a sub-interval:

\int_{a}^{b}f(x)dx\approx\Delta{x}\left(f(x_0)+f(x_1)+2f(x_2)+...+f(x_{n-2})+f(x_{n-1})\right)

where \Delta{x}=\frac{b-a}{n}.

Step 1: Find \Delta{x}

We have that a=0, b=\frac{3\pi }{4}, n=6

Therefore, \Delta{x}=\frac{\frac{3 \pi}{4}-0}{6}=\frac{\pi}{8}

Step 2: Divide the interval \left[0,\frac{3 \pi}{4}\right] into n = 6 sub-intervals of length \Delta{x}=\frac{\pi}{8}

a=\left[0, \frac{\pi}{8}\right], \left[\frac{\pi}{8}, \frac{\pi}{4}\right], \left[\frac{\pi}{4}, \frac{3 \pi}{8}\right], \left[\frac{3 \pi}{8}, \frac{\pi}{2}\right], \left[\frac{\pi}{2}, \frac{5 \pi}{8}\right], \left[\frac{5 \pi}{8}, \frac{3 \pi}{4}\right]=b

Step 3: Evaluate the function at the left endpoints

f\left(x_{0}\right)=f(a)=f\left(0\right)=3=3

f\left(x_{1}\right)=f\left(\frac{\pi}{8}\right)=3 \sqrt{\frac{\sqrt{2}}{4} + \frac{1}{2}}=2.77163859753386

f\left(x_{2}\right)=f\left(\frac{\pi}{4}\right)=\frac{3 \sqrt{2}}{2}=2.12132034355964

f\left(x_{3}\right)=f\left(\frac{3 \pi}{8}\right)=3 \sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}}=1.14805029709527

f\left(x_{4}\right)=f\left(\frac{\pi}{2}\right)=0=0

f\left(x_{5}\right)=f\left(\frac{5 \pi}{8}\right)=- 3 \sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}}=-1.14805029709527

Step 4: Apply the Left Riemann Sum formula

\frac{\pi}{8}(3+2.77163859753386+2.12132034355964+1.14805029709527+0-1.14805029709527)=3.09955772805315

\int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx\approx 3.099558

5 0
2 years ago
I need help on 11<br> please
Alisiya [41]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Question 11 :

the equations are :

  • - 2x - 3y = 9

  • 4x + 6y =  - 18

now, let's graph the lines ~

As you can see in the attachment, The lines coincides each other, so the equations are :

  • consistent and dependent

5 0
2 years ago
A number is multiplied by 2. Then that product is multiplied by 5. Write to explain how you know what digit is in the ones place
Kazeer [188]
When you multiply a number by 5 and then by 2 it is the same as multiplying by 10. multiplying by 10 means you add a zero to the end of the number so the digit in the ones column will be always be zero
3 0
3 years ago
Other questions:
  • PLEASE HELP MEE! the table below shows y, the average speed of a cyclist in miles per hour, and x, the time in hours that it tak
    6·2 answers
  • How many bags of grapes had a weight of 3/8 pounds or less?
    7·1 answer
  • Write a rule that express the number of quarts q of a liquid as a function of the number of the pints P
    7·2 answers
  • How to turn 0.07 with the repeating bar on the 7 into a fraction?
    15·1 answer
  • 45 miles per hour to miles per minute
    12·2 answers
  • 22·23 is equal to?? I've been on this question for like 30 minutes lol
    12·1 answer
  • A mail order company charges 4.5% for shipping and handling. If the total order is 54.34 how much was the order total before shi
    11·1 answer
  • Which expression is equivalent to 2(3g - 4) - (8g + 3)?
    10·1 answer
  • Evaluate 7p+6(p/q)2 q if p = 6 and q = 3. show your work and give an explanation for each step .
    14·1 answer
  • Draw the graph of the equation
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!