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
Marat540 [252]
3 years ago
11

Write the equation of a line that is perpendicular to the given line and that passes through the given point. y-4=5/2(x+3);(-3,4

)
Mathematics
1 answer:
Shkiper50 [21]3 years ago
4 0
Y - 4 = 5/2(x + 3)....slope here is 5/2. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So our perpendicular line will have a slope of -2/5 (see how I flipped the slope and changed the sign)

I am not sure what form u need this in...so I will write a few...

point-slope form :
y - y1 = m(x - x1)
slope(m) = -2/5
(-3,4)....x1 = -3 and y1 = 4
now we sub
y - 4 = -2/5(x - (-3) =
y - 4 = -2/5(x + 3) <== point slope form

y - 4 = -2/5(x + 3)
y = -2/5x - 6/5 + 4
y = -2/5x - 6/5 + 20/5
y = -2/5x + 14/5 <== slope intercept form

y = -2/5x + 14/5
2/5x + y = 14/5...multiply by 5
2x + 5y = 14 <== standard form

You might be interested in
Carpet, padding, and installation costs $23.23 per sq. yd. how much would it cost to carpet both bedrooms.
MAVERICK [17]
$46.46 for both rooms to have carpet
4 0
4 years ago
Wich is the first operation performed in evaluating
stellarik [79]
The first operation performed while evaluating would be to do the parenthesis
3 0
4 years ago
J = K (1+ p/100) make p as a subject
olganol [36]

Answer:

p = 100(J/K - 1)

Step-by-step explanation:

When we want to make a variable the subject of an equation, we want to get that variable by itself on one side of the equation - to unwrap it from all the operations attached to it.

Here's what the process looks like for p:

J=K(1+p/100)\\J/K=1+p/100\\J/K-1=p/100\\p=100(J/K-1)

8 0
3 years ago
The amount of time required for an oil and filter change on an automobile is normally distributed with a mean of 45 minutes and
Firdavs [7]

Answer:

1a

  P(39 <  X < 48  ) = 0.8767

1b

    95% of all sample means will fall between 40.1  <  \mu < 49.9

1c

    \= x = 41. 795

2

   n =  25

Step-by-step explanation:

From the question we are told that

   The mean is n   =  45

   The population standard deviation is  \sigma =  10

   The sample size is n  =  16

Generally the standard error of the mean is mathematically represented as

       \sigma_{x} =  \frac{ \sigma}{\sqrt{n} }

=>    \sigma_{x} =  \frac{ 10 }{\sqrt{16 } }

=>    \sigma_{x} = 2.5

Generally the probability that the sample mean will be between 39 and 48 minutes is

    P(39 <  X < 48  ) =  P( \frac{ 39 - 45}{ 2.5} <  \frac{X - \mu }{\sigma } <  \frac{ 48 - 45}{ 2.5} )

=> P(39 <  X < 48  ) =  P(-2.4 < Z< 1.2 )

=> P(39 <  X < 48  ) =  P( Z< 1.2 ) - P(Z <  -2.4)

From the z table  the area under the normal curve to the left corresponding to  1.2  and  -2.4  is

=> P( Z< 1.2 ) = 0.88493

and  

    P( Z< - 2.4 ) = 0.0081975

So

   P(39 <  X < 48  ) = 0.88493 -0.0081975

=> P(39 <  X < 48  ) = 0.8767

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of   is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

      E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

=>   E = 1.96 * 2.5  

=>   E =4.9  

Generally the  95% of all sample means will fall between

      \mu  -E <  and   \mu   +E

=>   45  -4.9\   and \  45  + 4.9

Generally the value which  90% of sample means is  greater than is mathematically represented

      P( \= X >  \= x  ) = 0.90

=>   P( \= X >  \= x  ) =  P( \frac{\= X  - \mu }{ \sigma_x} >  \frac{\= x  -45 }{ 2.5}  ) = 0.90

=>  P( \= X >  \= x  ) =  P( Z >  z  ) = 0.90

Generally from the z-table  the critical  value  of  0.90  is  

      z = -1.282

      \frac{\= x  -45 }{ 2.5}  = -1.282

=>   \= x = 41. 795

Considering question 2

 Generally we are told that the standard deviation of the mean to be one fifth of the population standard deviation, this is mathematically represented as

         s = \frac{1}{5} \sigma

  Generally the standard deviation of the sample mean is mathematically  represented as

          s = \frac{\sigma }{ \sqrt{n} }

=>       \frac{1}{5} \sigma = \frac{\sigma }{ \sqrt{n} }

=>       n =  5^2

=>       n =  25

5 0
3 years ago
What is m2 <br> What is m1
Dimas [21]

Answer:

m1=105⁰, m2=75⁰

Step-by-step explanation:

m2=75⁰

m1+m2=180⁰

m1=180-75=105⁰

4 0
3 years ago
Read 2 more answers
Other questions:
  • Amma hikes 2and3/4 miles of nature trail in 1 hour and 15 minutes. How many miles does Amman hike per hour?
    8·1 answer
  • Use substitution to solve each system of equations. y = 4x + 22 4x – 6y = –32
    12·2 answers
  • Find the surface area of the cylinder. Round your answer to the nearest tenth. (Open attachment to see image of the cylinder).
    10·1 answer
  • How do you solve a problem like this one 18x^2-15x-18
    11·2 answers
  • Plz help plzzzzzzzz I’ll give u all my<br><br>points
    15·2 answers
  • I just do not understand how to answer this questions (not a test brainly)
    11·2 answers
  • Sam complete 3 math problems in 8 minutes. How long will it take to do 15 problems?
    12·1 answer
  • 3+5 plz help will gibe brain
    10·2 answers
  • What is 1.53 to the nearest tenth
    5·2 answers
  • Can someone help me, please? I am giving a lot of points!
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!