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
eimsori [14]
4 years ago
12

Problem 4 9x + 27 y = 45 The slope of the equation is..

Mathematics
1 answer:
Pani-rosa [81]4 years ago
7 0

Answer:

Slope = -1/3

Step-by-step explanation:

9x + 27y = 45

Let's rearrange

Following the equation of a line

y = mx + c

y - intercept point y

x - intercept point x

m - slope of the line

c - intercept of the line

9x + 27y = 45

27y = 45 - 9x

27y = -9x + 45

Divide both sides by 27 , to make the y the subject of the formula

27y/27 = ( -9x + 45)/27

y = ( -9x + 45)/27

y = mx + c

We have to separate, so as to get the slope and also the intercept

y = ( -9x + 45)/27

y = -9x/27 + 45/27

We can simply further

y = -x/3 + 5/3

Therefore, the slope of the equation is -1/3

The intercept is 5/3

You might be interested in
Willie left the mall and traveled toward the town hall at an average speed of 40 km/h. Gabriella left two hors later and travele
mezya [45]

Answer:

<em>3 hours</em>

Step-by-step explanation:

Given that:

Average speed of Willie = 40 km/h

After 2 hours, Gabriella traveled in opposite direction at an speed of 70 km/h.

After some time, they are 410 km apart.

To find:

Number of hours = ?

Solution:

For the first two hours, Willie traveled alone.

Formula for distance:

Distance = Speed \times Time

Distance traveled in two hours by Willie = 40 \times 2 = 80\ km

Now, they both travel in opposite directions.

So the relative speed is = 40 + 70 = 110 km/h

The distance traveled by them = 410 - 80 = 330 km

Time\ taken = \dfrac{330}{110} = 3\ hours

Therefore, the time taken is <em>3 hours.</em>

5 0
3 years ago
What are orderd pairs for y=3x+4
Advocard [28]

Answer:

the ordered pairs should be y and x

Step-by-step explanation:

8 0
3 years ago
Last question and then I’ll take care of the rest on my own ^^^^
Bond [772]

Answer:

  (c)  5/2

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  a^-b = 1/a^b

__

Using these rules, we can simplify the expression as follows:

  (5^-3)(2^2)(5^6)/((2^3)(5^2)) = (5^(-3+6-2))(2^(2-3)) = (5^1)(2^-1)

  = 5/2

6 0
3 years ago
Can the sum of two mixed numbers equal 2
Licemer1 [7]
No because mixed numbers need atleast a one and a fraction to be a mixed number
4 0
4 years ago
Let x be a Poisson random variable with μ = 9.5. Find the probabilities for x using the Poisson formula. (Round your answers to
miv72 [106K]

Answer: 1

Step-by-step explanation: the probability mass function that defines a possion probability distribution is given below as

P(x=r) = e^-u × u^x/x!

For this question, x = 0 and u = 9.5

Hence we have that

P(x=0) = e^-0 × 9.5^0 / 0!

P(x=0) = 1 × 1/ 1 = 1

5 0
4 years ago
Other questions:
  • What 10 to the 14th power
    15·2 answers
  • Whats the answer to this question ?
    5·2 answers
  • Which result will be positive? <br> -5 - (-3) <br> 5 - (-3)<br> 18 ÷ (-6) <br> 6 × (-2)
    7·1 answer
  • Look at screenshot please
    8·1 answer
  • EMERGENCY! DUE VERY SOON! HELP!
    12·1 answer
  • What is the slope of the line that passes through the points (2, 6) and (8, 3)?​
    13·1 answer
  • PLEASE HELP ASAP!!!FOR A A TEST!
    6·1 answer
  • Need help taking test now !! thank you
    6·2 answers
  • It is now twenty-three minutes past six. What time will it be in six hours and sixteen minutes?
    6·1 answer
  • = 1/2 (u+v)t
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!