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
nlexa [21]
3 years ago
8

Y-8= - * - 4 y=-* 4 (3,-5) no solution an infinite number of solutions

Mathematics
1 answer:
muminat3 years ago
3 0

Given:

The system of equation is

y-8=-\dfrac{1}{3}x-4

y=-\dfrac{1}{3}x-4

To find:

The solution of given system of equations.

Solution:

The slope intercept form of a line is

y=mx+b

Where, m is slope and b is y-intercept.

Write the given equation in slope intercept form.

The first equation is

y-8=-\dfrac{1}{3}x-4

y=-\dfrac{1}{3}x-4+8

y=-\dfrac{1}{3}x+4              ...(i)

Here, slope is -\dfrac{1}{3} and y-intercept is 4.

The second equation is

y=-\dfrac{1}{3}x-4              ...(i)

Here, slope is -\dfrac{1}{3} and y-intercept is -4.

Since the slopes of both lines are same but the y-intercepts are different, therefore the given equations represent parallel lines.

Parallel lines never intersect each other. So, the given system of equation has no solution.

Hence, the correct option is B.

You might be interested in
A jug has a maximum capacity of 14 liters. is filled to 60% of its capacity, and then poured out at a rate of 60 mL/s. Which of
ZanzabumX [31]

Answer:

W(x) = 3.4 L - (25/1000)(L/s)*x

Step-by-step explanation:

          it a tip

W(x) = 3.4 L - (25/1000)(L/s)*x

The maximum of the jug is 4 L.

now, the jug is 85% filled, then the amount of water in the jug is:

(85%/100%)*4L = 0.85*4L = 3.4L

Now, we pour 25 mL each second, so we could write a linear equation as:

W(x) = 3.4L - (25ml/s)*x

where x is the number of seconds that passed since the beginning,

But we want to write this in Liters, we have that:

1L = 1000mL.

Then 1mL = (1/1000) L

then we can write 25 mL as:

25m L = 25*(1/1000) L = (25/1000) L

Then we can write the equation as

W(x) = 3.4 L - (25/1000)(L/s)*x

which is the amount of water remaining in the jug after x seconds.

7 0
2 years ago
Multiple Choice Question
yan [13]
I believe the right answer is B!
7 0
3 years ago
Read 2 more answers
What is the slope and y-intercept of the equation y=2x-7
Tom [10]

Answer:

Slope = 2; Y-Intercept = -7

Step-by-step explanation:

That how lines work

4 0
3 years ago
Read 2 more answers
Find the gradient of the line segment between the points (-4,-5) and (2,-4).
dezoksy [38]

Answer:

1/6

Step-by-step explanation:

gradient= change in y/ change in x

-4--5/2--4= 1/6

1/6 is the gradient

8 0
3 years ago
£90 is divided between Mark, Henry & Gavin so that Mark gets twice as much as Henry, and Henry gets three times as much as G
Phantasy [73]

Answer:

Mark gets £54

Step-by-step explanation:

Let Gavin share=x

Henry=3x

Mark=2(3x)

x+3x+2(3x)=£90

x+3x+6x=£90

10x=£90

x=9

Gavin=x=£9

Henry=3x

=3(9)=£27

Mark=2(3x)

=2(3*9)

=2(27)

=£54

4 0
3 years ago
Other questions:
  • During a science experiment the temperature of a solution in beaker 1 was 5 degrees below zero. The temperature of a solution in
    7·2 answers
  • Explain why you can use a test point to determine which region or regions of the graph of an inequality should be shaded.
    6·2 answers
  • What are the domain, range, and asymptote of h(x) = (0.5)^x -9
    13·1 answer
  • Americans spend an average of 3 hours per day online. If the standard deviation is 32 minutes, find the range in which at least
    7·1 answer
  • Which of the following is the correct midpoint formula
    5·1 answer
  • If an inequality uses the phrase at most, it will require a greater than symbol
    6·2 answers
  • Write the equation in standard form, factored form, then identify the zeros. y=-(x-1)^2+25​
    5·1 answer
  • Ayuda por fa con estos ejercicios por fa urgente
    13·1 answer
  • Baily has been measuring the growth of a flower. It has grown ¾ of an inch each week. It is now 3 inches tall. How many weeks ha
    13·2 answers
  • I need equations from the graphs written in slope intercept form.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!