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
Oliga [24]
2 years ago
5

A line passes through the point (12,–4) and is perpendicular to the line with the equation y = 6x + 3. What's the equation of th

e line?
Mathematics
1 answer:
Alex_Xolod [135]2 years ago
3 0

I'm just gonna so you how I got it

Step-by-step explanation:

6x - 3y - 5 = 0 has slope 6/3 = 2. A perpendicular line will have slope -1/2 (since slopes of two perpendicular lines must have a product of -1), so its general form will be 3x + 6y - a = 0.

Now to find a. We know a point on the line, (4,10), and so we plug those coordinates in:

3*4 + 6*10 - a = 0

12 + 60 - a = 0

72 = a

3x + 6y - 72 = 0.

We can simplify this by dividing all numbers by 3, getting:

x + 2y - 24 = 0

You might be interested in
What are the zeros of the quadratic function f(x) equals 6X squared +12 X -7
tamaranim1 [39]

The zeroes of the function will be \rm -1 \pm \dfrac{\sqrt{78}}{6}}

<h3>What is a Quadratic Function ?</h3>

A quadratic function is given by ax² +bx+c = f(x)

The given quadratic function is

f(x) = 6x² +12x - 7

The zeroes of the function will be given by

f(0) = 0

6x² +12x - 7 = 0

The zeroes are given by

\rm \dfrac {-b  \pm \sqrt{b^2 -4ac}}{2a}

here

a = 6

b = 12

c = -7

Therefore the zeroes of the function will be

\rm \dfrac {-12  \pm \sqrt{12^2 -4*6*(-7)}}{2 *6}

\rm \dfrac {-12  \pm \sqrt{312}}{12}

\rm -1 \pm \dfrac{\sqrt{78}}{6}}

Therefore these are the two zeroes of the function.

To know more about Quadratic Function

brainly.com/question/27918223

#SPJ1

7 0
2 years ago
Suppose a certain species of fawns between 1 and 5 months old have a body weight that is approximately normally distributed with
worty [1.4K]

Answer:

z

Step-by-step explanation:

Assuming this complete question:

"Suppose a certain species of fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean \mu =26 kilograms and standard deviation \sigma=4.2 kilograms. Let x be the weight of a fawn in kilograms. Convert the following z interval to a x interval.

X"

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(26,4.2)  

Where \mu=26 and \sigma=4.2

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

We know that the Z scale and the normal distribution are equivalent since the Z scales is a linear transformation of the normal distribution.

We can convert the corresponding z score for x=42.6 like this:

z=\frac{42.6-26}{4.2}=3.95

So then the corresponding z scale would be:

z

7 0
2 years ago
Monica bought 14.75 yards of muslin
nikdorinn [45]

Answer: 531 inches

Step-by-step explanation:

3 0
2 years ago
The relationship between the number of cups of flour, f , and the number of cups of milk, m , used in a cake recipe can be model
qwelly [4]

Answer:

f = (1/2)(m), for m = 1

f = (1/2)(1)

Step-by-step explanation:

7 0
2 years ago
Terri played 70 tournament chess games during the school year and won 49 of them. What is her win-to-loss ratio?
Scilla [17]

Alright so the answer would be letter B, because

win-to-loss

49 to 21 (You can determine her losses by subtracted the number of wins from her total number of games played)

Now you must simplify your answer

7 is the greatest common factor (GCF) of both 49 and 21

Now divide both 49 and 21 by 7 to get

7 to 3

7 0
3 years ago
Other questions:
  • BRAINLIEST!!!
    11·2 answers
  • The number of students attending the fall play was 150 fewer then 3 times the number of adults. Together, students and adults pu
    12·1 answer
  • A storage unit has the dimensions shown. What number of
    11·1 answer
  • Two numbers total 44. The first is one less than twice the second. What are the two numbers?
    5·2 answers
  • A=1/2(a+b)h work out the value of A when a=7, b=6 and h=10
    14·1 answer
  • Can sumone do this plzz
    11·1 answer
  • Enrique has to pay 80% of a $200 phone bill. Explain how to use equivalent ratios to find 80% of $200.
    11·2 answers
  • Which of these systems of equations is shown in the graph?
    6·1 answer
  • Resolve into partial fraction. (5x+2)/3x²+4x-4​
    10·1 answer
  • PLEASE IM GONNA DIE Paloma rides a scooter. She travels 10 ft. For every 1 second.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!