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
Pls help asappppppppppp
dedylja [7]

Answer:

see below

Step-by-step explanation:

for 7, about 520/20 = 26

for 8, around 2,000/100= 20

8 0
3 years ago
Read 2 more answers
a method for finding the maximum or minimum value of a quantity that is subject to various limitations is called
Sveta_85 [38]

The minimum or maximum value of a quantity are what are used to maximize or minimize a function.

<em>The method for finding these minimum or maximum value is linear programming.</em>

<em />

Take for instance, the following parameters:

\mathbf{Maximize\ z = 2x + 3y}

Subject to:

\mathbf{2x + y \ge 10}

\mathbf{x - y < 2}

\mathbf{x ,y >0}

The above is an illustration of a linear programming.

It is useful in the following areas:

  • To formulate real life problems
  • To get an optimal solution
  • To maximize profit and minimize cost
  • Etc

Read more about linear programming at:

brainly.com/question/14225202

3 0
3 years ago
Robert takes 10 days more than Peter to complete a job. If they work together they will
melamori03 [73]

Answer:

I believe the answer is 2

Step-by-step explanation:

5 0
2 years ago
Circle the exponent <br><br> Help please !!
tia_tia [17]
The exponent is the 3 over the x
7 0
1 year ago
Read 2 more answers
Type the correct answer in each box.
Mariulka [41]

Answer:

(x-5)^2+(y+4)^2=100

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance between the center and any point that lie on the circle is equal to the radius

we have the points

(5,-4) and (-3,2)    

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

substitute the values

r=\sqrt{(2+4)^{2}+(-3-5)^{2}}

r=\sqrt{(6)^{2}+(-8)^{2}}

r=\sqrt{100}\ units

r=10\ units

step 2

Find the equation of the circle

we know that

The equation of a circle in standard form is equal to

(x-h)^2+(y-k)^2=r^2

where

(h,k) is the center

r is the radius

we have

(h,k)=(5,-4)\\r=10\ units

substitute

(x-5)^2+(y+4)^2=10^2

(x-5)^2+(y+4)^2=100

6 0
3 years ago
Other questions:
  • WILL GIVE BRANLIEST. PLS COME HELP. I NEED ALL THE HELP I CAN GETTTTTTTTTTTT
    5·2 answers
  • 16x6 – 81 =<br><br> I need help on this
    7·2 answers
  • Write 7672 in scientific notation
    12·1 answer
  • Rearrange x=3g+2 to make g the subject
    13·2 answers
  • Mitchell ran a total of 32 miles over the course of 16 track practices. How many miles would Mitchell have run after 23 track pr
    7·2 answers
  • (PLEASEHELP )Graphic artist makes covers for paperback novels, the pay is $350 per cover. If the artist draws six covers in 48 h
    5·1 answer
  • Find the 64th term of the following arithmetic sequence .<br><br> 12,19,26,33 ...
    9·1 answer
  • What is 2/7 into a percent
    15·2 answers
  • In the figure shown below find the value of a, round to the nearest tenth.
    10·1 answer
  • Can you help me with this question Plsss?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!