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
Georgia [21]
3 years ago
6

Through (4,-4) ; perpendicular to 6y=x-12

Mathematics
1 answer:
BARSIC [14]3 years ago
3 0

y = mx + b

m = slope and b = y-intercept


We can arrange 6y = x - 12 in the form of y = mx + b

                  6y = x - 12

                    y = 1/6(x) - 2

Slope of y = 1/6(x) - 2 is 1/6. Taking the negative reciprocal of the slope we get the slope for the perpendicular line.

Negative reciprocal of 1/6 is -6.

The equation for the perpendicular line is

                  y = -6x + b

To find b we can plug in the x and y values of (4,-4) into it since it passes through those coordinates

                -4 = -6(4) + b

                 b = -4 + 6(4)

                 b = -4 + 24

                 b = 20

So the equation for the perpendicular line is y = -6x + 20

You might be interested in
Evaluate and simplify <br><br> F(x)=3-6x^2 for f(x+3)
Olegator [25]

Insert x + 3 instead of x into the equation of the function f(x):

f(x) = 3 - 6x²

f(x + 3) = 3 - 6(x + 3)²

use (a + b)² = a² + 2ab + b²

= 3 - 6(x² + 2(x)(3) + 3²) = 3 - 6(x² + 6x + 9)

use distributive property

= 3 + (-6)(x²) + (-6)(6x) + (-6)(9) = 3 - 6x² - 36x - 54

combine like terms

= -6x² - 36x - 51

<h3>Answer: f(x + 3) = -6x² - 36x - 51</h3>
4 0
3 years ago
Are these easyyyyyyyyyyyyyyyyyyyyyyyy
mixer [17]

Answer:

no

Step-by-step explanation:

no they are not they are hard

4 0
3 years ago
PLEASE HELP ME!!!!!!!!&gt;&gt;&gt;&gt;&gt;&gt;&gt;During halftime of a football game, a sling shot launches​ T-shirts at the cro
lawyer [7]
 <span>s = -16t^2 + 88t + 5
Time to reach the maximum height = 88/32
                            = 2.75 seconds
Maximum height = -16(2.75)^2 + 88 (2.75) +5
                           = -121 + 242 + 5
                           = 126 Feet
Range: 5<y<44</span>
3 0
2 years ago
Work out the surface area of this cylinder.<br>with radius 2 cm<br>and height 4 cm​
Tju [1.3M]

Answer:

75.39cm ^{2}

Step-by-step explanation:

area = 2\pi \times r \times h  + 2\pi \times  {r}^{2}  \\ = 2 \times \pi \times 2 \times 4 + 2 \times \pi \times 22 \\  = 75.39822cm ^{2}

3 0
3 years ago
Sam visited the mall to purchase a shirt and a pair of shoes. The price of the shirt is $12.72. The price of the pair of shoes i
kodGreya [7K]

Answer:

The total cost of commodities = $61.82

Step-by-step explanation:

Sam visited the mall to purchase a shirt and a pair of shoes. The price of the shirt is $12.72. The price of the pair of shoes is $44.00.

The tax rate in the shop = 9%.

We have to find the total price Sam has to pay.

The total cost of the shirt and the pair of shoes =  12.72 + 44 = $56.72

Now there is tax of 9%.

So the cost becomes 1.09 times the initial value.

Hence the final price = 56.72\times 1.09

                                    = $61.82

The final price of shirt and shoes = $61.82

3 0
3 years ago
Other questions:
  • Colin put some buttons on a table. There were 4 blue buttons, 5 red buttons, 7 tan buttons, and 8 white buttons. Colin's cat jum
    15·2 answers
  • A store has 30 boxes of melons each box holds 4 bags. Each bag holds 2 melons. What is the total number of melons in the store
    15·1 answer
  • A runner did the 100 meter dash in 9.9 seconds and the 100 yard dash in the same amount of time . In which race did he run the f
    7·1 answer
  • Consider the surface given by
    9·1 answer
  • Write the product as a trinomial. (k – 2)(k – 1)
    10·2 answers
  • What is the point if of origin in a number line
    15·1 answer
  • 2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equatio
    11·1 answer
  • I must reincarnate bye all my friends
    7·2 answers
  • The Raymond couple wants to find an apartment in Abu Dhabi, UAE but can’t decide which option is better for long term usage. A 1
    7·1 answer
  • Shannon states that 7 5/8 - 5 1/3 = 2 4/5 because 7 - 5 = 2, 5- 1 = 4, and 8 - 3 = 5. First, state whether you agree or disagree
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!