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
Mariana [72]
3 years ago
13

Two lines, R and M, are represented by the following equations:

Mathematics
2 answers:
erma4kov [3.2K]3 years ago
6 0

Answer:  The correct option is (C) infinitely many solutions.

Step-by-step explanation:  The representations of two lines 'R' and 'M' are given by

\textup{Line R: }2x+2y=18~~~~~~~~~~~~~~~~~~~~(i)\\\textup{Line M: }x+y=9~~~~~~~~~~~~~~~~~~~~~~~~(ii)

We are to select the TRUE statement about the solution to the above set of equations.

Multiplying equation (ii) by 2, we have

\textup{Line M: }2x+2y=18~~~~~~~~~~~~~~~~~~~(iii)

From equations (i) and (iii), we can conclude that

the equations for line 'R' and line 'M' are same, and hence their graph is the same straight line as shown in the attached figure.

Therefore, each point on the lines is a solution to the given system, because both the lines intersect at each and every point that lies on the lines.

For example, (0, 9), (9, 0), (4, 5), etc. are solutions to the system.

Thus, there are infinitely many solutions.

Option (C) is correct.

Amiraneli [1.4K]3 years ago
3 0
Line R 
2x + 2y = 18
if we divide by 2 in both side
x + y = 9

Line M
x + y = 9

if x = 1, then y = 8
if x = 2, then y = 7

likewise you can find infinite pair answers for x and y
You might be interested in
Identify the response variable and whether the setting involves a single sample, a matched pairs, or two independent samples.
Helga [31]

Answer:

1. single sample design

2. matched pairs

3. two independent samples.

Step-by-step explanation:

the response variable is known as the dependent variable, it is the variable that the researcher is interested i finding. the response variable is the x variable that responds to changes in the independent variable.

1.

In this question the researcher has only one sample that is the specimen. that is the reference specimen that she obtained. Therefore it is a single sample design.

the response variable here is the measurement of concentration.

2. In this question we have two pairs, men and women. The researcher is interested in comparing attitudes as she interviews them. so response variable is attitude or behavior

3. this is a 2 independent sample design. The researcher is using two different methods to test and their average is being compared.

6 0
3 years ago
Whoever gets this right gets brainlyess answer and it's worth 10 points :)
babymother [125]
A=$20.20/10gal=$2.02 per gal

B=$26.04/12gal=$2.17 per gal

C=$28.14/14gal=$2.01 per gal

D=$30.45/15gal=$2.03 per gal

So C is the cheapest per gallon.
3 0
3 years ago
How do you solve this In this case 1422 = 5534/(1+r)^4
Sever21 [200]
It is okay to take the inverse of both side given that you remember to exclude the value that make the denominator  zero which is in this case r=-1

8 0
3 years ago
The graphus buscou have the same shape. What is the equation of the grand
horrorfan [7]

Answer:

C. g(x) = x^2 + 3

Step-by-step explanation:

5 0
2 years ago
Solve for b<br><br><br>117<br>63<br>27<br>160​
Alisiya [41]

Answer:

27

Step-by-step explanation:

180-153=b

b=27

3 0
3 years ago
Read 2 more answers
Other questions:
  • Your bank statement indicates that you are overdrawn on your checking account by $336. How much must you deposit to bring the ch
    9·1 answer
  • Angelo wants to buy a laptop and an android phone to be used in his online class. He paid a total of Php 24, 200.00 for both gad
    13·1 answer
  • A school wants to add a new sports team. The school sent out surveys asking for the​ students' favorite sport. Twelve students n
    14·2 answers
  • How do i identify 2/3 and 4/5 plz
    11·1 answer
  • Calvin has 13 coins , all of which are quarters and nickels. The coins are worth $2.45. How many of each coin does Calvin have ?
    13·1 answer
  • Find the derivative in the form dy/dx
    12·1 answer
  • 4) A salesperson is paid $60 per week plus $4.50 per sale. This week, the salesperson wants to earn at least $250. How many sale
    6·1 answer
  • Complete the table.<br><br> Original Price Percent of Discount Sale Price<br> $<br> 5% $57
    14·1 answer
  • Help i need your help with this
    7·2 answers
  • What is the greatest<br> common factor (GCF)<br> of 40 and 42?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!