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
nadya68 [22]
3 years ago
15

Find an equation of the line. Write the equation using function notation.

Mathematics
1 answer:
Gemiola [76]3 years ago
4 0

The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:

y = -4x+9

Step-by-step explanation:

Given equation of line is:

4y=x-8

We have to convert the given line in slope-intercept form to find the slope of the line

So,

Dividing both sides by 4

\frac{4y}{4} =\frac{x-8}{4}\\y = \frac{1}{4}x-\frac{8}{4}\\y = \frac{1}{4}x-2

Let m1 be the slope of given line

Then

m_1 = \frac{1}{4}\\

Let m2 be the slope of line perpendicular to given line

As we know that produt of slopes of two perpendicular lines is -1

m_1.m_2 = -1\\\frac{1}{4} . m_2 = -1\\m_2 = -1*4\\m_2 = -4

The slope intercept form of line is given by:

y = m_2x+b

Putting the value of slope

y = -4x+b

to find the value of b, putting (3,-3) in equation

-3 = (-4)(3) + b\\-3 = -12 +b\\b = -3+12\\b = 9

Putting the value of b in the equation

y = -4x+9

Hence,

The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:

y = -4x+9

Keywords: Equation of line, slope

Learn more about equation of line at:

  • brainly.com/question/4837736
  • brainly.com/question/4805611

#LearnwithBrainly

You might be interested in
8x – 9y = –61<br> x +9y = 43<br> what is the y coordinate?
marishachu [46]

Answer:

The answer is y=5

Step-by-step explanation:

9x=-18

x=-2

-2+9y=43

9y=45

y=5

4 0
3 years ago
A number is at least 45
Gnesinka [82]
Can you comment the question I will be happy to help
5 0
3 years ago
Greta is trying to determine the portion of green candies in various bags of green and yellow candies. Using the information bel
IrinaK [193]

Answer: a) \dfrac{1}{3} b) \dfrac{71}{100} c) \dfrac{5}{9}

Step-by-step explanation:

Since we have given that

There are green and yellow candies in each bag.

Bag A: Two thirds of the candies are yellow. What portion of the candies is green?

Part of yellow candies in bag A = \dfrac{2}{3}

Part of green candies in bag A would be

1-\dfrac{2}{3}\\\\=\dfrac{3-2}{3}\\\\=\dfrac{1}{3}

Bag B: 29 % of the candies are yellow. What portion of the candies is green?

Percentage of candies are yellow = 29%

Portion of candies are green is given by

1-\dfrac{29}{100}\\\\=1-0.29\\\\=0.71\\\\=\dfrac{71}{100}

Bag C: 4 out of every 9 candies are yellow. What portion of the candies is green?

Portion of yellow candies = \dfrac{4}{9}

Portion of green candies would be

1-\dfrac{4}{9}\\\\=\dfrac{9-4}{9}\\\\=\dfrac{5}{9}

Hence, a) \dfrac{1}{3} b) \dfrac{71}{100} c) \dfrac{5}{9}

6 0
3 years ago
One light-year equals 5.9 x 1012 miles. How many light-years are in 6.79
inna [77]

Option B

The number of light years in 6.79 \times 10^{16} miles is 11508 light years

<em><u>Solution:</u></em>

Given that,

One light-year equals 5.9 x 10^12 miles

Therefore,

1 \text{ light year } = 5.9 \times 10^{12} \text{ miles }

To find: Number of light years in 6.79 \times 10^{16} miles

Let "x" be the number of light years in 6.79 \times 10^{16} miles

Then number of light years in 6.79 \times 10^{16} miles can be found by dividing 6.79 \times 10^{16} miles by miles in 1 light year

\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79 \times 10^{16}}{5.9 \times 10^{12}}\\\\\text{Use the law of exponent }\\\\\frac{a^m}{a^n} = a^{m-n}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79}{5.9} \times 10^{16-12}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 1.1508 \times 10^4\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 11508

Thus number of light years in 6.79 \times 10^{16} miles is 11508 light years

3 0
3 years ago
A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from ea
kari74 [83]

Answer:

μy = $6.56 ; σy = 2.77

Step-by-step explanation:

Given the data :

Mean μx= $8.56

Standard Deviation σx ≈ 2.77

Profit, Y on pizza with current promo :

Price off on pizza = $2

Y = x - 2

μx = E(x) = $8.56

μy = μ(x - 2)

μy = μx - $2

μy = $8.56 - $2

μy = $6.56

For the standard deviation of y

σx ≈ 2.77

σy = σ(x - 2)

σy = σx - 2

Constants are treated as 0 for standard deviation

σy = 2.77

8 0
3 years ago
Other questions:
  • The points (1, 5), (5, 10), (7, 8) and (8, 1) are on the graph of the function p. Which expression gives the average rate of cha
    12·2 answers
  • annabella earned $5.20 per hour for 3 1/2 hours and alex earned $4.50 per hour for 5 1/4 hours, who earned more?
    6·1 answer
  • How to solve x^4+4x-1=0 ? ...?
    6·1 answer
  • The one on the bottom says: tonight, Duane needs to bring home only his math and science textbooks. Tomorrow, he has to bring hi
    7·2 answers
  • How can can you solve -16+23-
    15·1 answer
  • Which graph shows the solution set of the inequality 29(x+8) &lt; 26.19<br> 10<br> HELLLLP
    5·1 answer
  • Help meh................<br> ....
    13·1 answer
  • What is the slope of the line that goes through points (−3,−4) and (−7,16)? please help
    9·1 answer
  • Write the word sentence as an inequality a number b is less than 15​
    15·1 answer
  • Use the information from the first picture to solve the graph on the second picture.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!