Write the equation in slope-intercept form of the line that passes through
(12,9) and is perpendicular to the graph of y = -3/4x + 1.

Answers

Answer 1

Answer:

We conclude that the equation in slope-intercept form of the line that passes through  (12,9) and is perpendicular to the graph of y = -3/4x + 1 will be:

[tex]y=\frac{4}{3}x-7[/tex]

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

where

m is the slopeb is the y-intercept

Given the line

y = -3/4x + 1

comparing with the slope-intercept form of the line equation

The slope = m = -3/4

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:  

slope = m = -3/4

Thus, the slope of the new perpendicular line = – 1/(-3/4) = 4/3

Using the point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = 4/3 and the point (12, 9)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-9=\frac{4}{3}\left(x-12\right)[/tex]

Add 9 to both sides

[tex]y-9+9=\frac{4}{3}\left(x-12\right)+9[/tex]

[tex]y=\frac{4}{3}x-16+9[/tex]

[tex]y=\frac{4}{3}x-7[/tex]

Therefore, we conclude that the equation in slope-intercept form of the line that passes through  (12,9) and is perpendicular to the graph of y = -3/4x + 1 will be:

[tex]y=\frac{4}{3}x-7[/tex]

Related Questions

This graph shows the solution to which inequality?
-3,-3)
O A. y> x-2
O B. y< - 2
O C. y> fx-2
O D. y< 1/x-2

Answers

Answer:

The answer is C. y > 1/3x - 2

_____________________

Explanation:

> [greater than], and < [less than] are dashed or an unfilled circle because the value is not included, and only less than or greater than.

≥ [greater than or equal to], and ≤ [less than or equal to] are solid lines or a filled circle because the value is included, and is less than or greater than.

There are 50 carpenters in a crew. On a certain day, 15
were present. What percent showed up for work?

Answers

Answer:

30

Step-by-step explanation:

15:50*100 = ( 15*100):50 = 1500:50 = 30

Answer:

thirty

Step-by-step explanation:

cuz dis bussin. duh.

— 2y – Зу +8 = 8 — 5у – 12

Answers

Answer:

No Solution.

Step-by-step explanation:

Equality equation:

— 2y – Зу +8 = 8 — 5у – 12  (Given)

-5y + 8 = -4 - 5y (distributive property of equality)

-5y = -12 - 5y (subtraction property of equality)

= -12 (addition property of equality)

when you add 5y on both sides it cancels the 5y out, it's no solution.

Ace-The Kid Laroi

A department store buys 100 shirts at a cost of ​$700 and sells them at a selling price of ​$10 each. Find the percent markup

Answers

Answer:

30%

Step-by-step explanation:

The price for each shirt to buy is: $ 700/100 = $ 7 / each

Selling price is: $ 10 / each

So the difference between the selling and buying prices is: $ 10 - $ 7 = $ 3

So 100 each, the interest is: $ 3 X100 = $ 300 => 30%

A factory process requires 3 steps to finish a product. The steps each have a mean completion time of μ=10 seconds and a standard deviation of σ=5 seconds. The time it takes to complete each step is independent from the other steps. Let T be the total completion time of the 3 steps on a randomly chosen product.
Find the mean of T.

Answers

Answer:

The mean of T is 10 seconds

Step-by-step explanation:

The given parameters are;

The mean completion time of each step, μ = 10 seconds

The standard deviation, σ = 5 seconds

Each step is independent from the other steps

The variable that represents the total completion time for the three steps = T

We have the mean of T, [tex]\overline T[/tex], given by the combined mean as follows;

[tex]\overline T = \dfrac{n_1 \cdot \overline x_1 + n_2 \cdot \overline x_2 + n_3 \cdot \overline x_3 }{n_1 + n_2 + n_3 }[/tex]

Where;

[tex]The \ mean \ completion \ time \ for \ each \ step \ is \ \overline x_1 = \overline x_2 = \overline x_3 = 10 \ seconds[/tex]

n₁ = n₂ = n₃ = 1, each step is taken only once, we have;

[tex]\overline T = \dfrac{1 \times 10 + 1 \times 10 + 1 \times 10 }{1 + 1 + 1 } = \dfrac{30}{3} = 10 \ seconds[/tex]

Therefore, the mean of T = 10 seconds

Using the normal distribution, it is found that the mean of T is of 30 seconds.

A normal distribution has two parameters: Mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex].

For n instances of a normal variable, the mean is [tex]n\mu[/tex] and the standard deviation is [tex]s = \sigma\sqrt{n}[/tex].

In this problem, the mean is [tex]\mu = 10[/tex] and the standard deviation is [tex]\sigma = 5[/tex].

For the total completion, there are 3 instances, hence [tex]n = 3, n\mu = 3(10) = 30[/tex], hence, the mean of T is of 30 seconds.

A similar problem is given at https://brainly.com/question/24085252

70 points!!! Which of the following is an arithmetic sequence with common difference –5?

A. 5, 25, 125, 626, ...
B. 5, -25, 125, -625 ...
C. 8, 3, -2, -7 ...
D. 0, 5, 10, 15 ...

Answers

Answer:

c

Step-by-step explanation:

This is c because the numbers in c are moving down by -5.

Answer:

I would say b

Step-by-step explanation:

-5 times 5 is -25

-5 times -25 is 125 ect

Determine the intercepts of the line.

Answers

Answer:

Y-intercept: (0, 0.4)

X-intercepts: (0.3, 0)

Answer:

The y-intercept is (0, 0.4), and the x-intercept is (0.3, 0)

Step-by-step explanation:

To find the intercepts of the line, you need to see what points lie on the x and y-axis.

Please tell me how to do this or give me the answer either one is fine with me!!!!
:)

Answers

Divide both numbers and multiply by 3 then u have an answer

Answer:

16.85 cm²

Step-by-step explanation:

Find the area of the small circle then subtract the area of the large circle by the small circle

Area of small circle :

πr², where  r = 4cm

π(4²) = 50.27 cm²

67.12 - 50.27 = 16.85 cm²

1. Fill in the blank: When I text, I mostly misspell '----' as '---'.


2. Fill in the blank: When I text, my autocorrect changes '---' to '----'.


3. True or false: You have more than one Brainly account.


4. True or false: The Eiffel Tower is high like your grades.


5. (Optional) 3x+4=13 solve for x


6. What's your Hogwarts house?


7. Draco or Harry?


8. Remus Lupin or Serius Black?


9. True or False: KPOP is trash.


10. True or False: KPOP is everything.

Answers

When i text i mostly misspell, carrot as caroot

When i text, my autocorrect changes rat to fat.

False

True B)

Answer:

5 : x=3

Step-by-step explanation:

HELP PLEASE I ONLY NEED THESE LAST ONES

Answers

Answer:

For the first one its 600 yards...and for number 6 its 351.86

PLEASE ANSWER ASAP TY

In triangle ABC below, BD is the altitude. Find the length of DC. Leave your answer in
simplified radical form.

Answers

Answer:

Step-by-step explanation:

Step 1: Find AB Use Pythagoras Theorem

AB = [tex]\sqrt{AC^{2} -BC^{2} } = \sqrt{12^{2} -8^{2} } = \sqrt{80}[/tex]

Step 2: Find the Area of the triangle ABC

Area = [tex]\frac{1}{2}AB.BC = \frac{1}{2}\sqrt{80}.8 = 4\sqrt{80}[/tex] = [tex]16\sqrt{5}[/tex]

Step 3: Find BD. Use the area of the triangle above

Area = [tex]\frac{1}{2}BD.AC[/tex]

We already known the Area and AC so, we just plug all the number in

BD = [tex]\frac{2. Area}{AC}[/tex] =  [tex]\frac{2.16\sqrt{5}}{12}[/tex] = [tex]\frac{8\sqrt{5}}{3}[/tex]

Step 4: Find DC. Use Pythagoras Theorem of the triangle BDC

DC = [tex]\sqrt{BC^{2}-BD^{2} }[/tex] = [tex]\sqrt{8^{2}-(\frac{8\sqrt{5}}{3})^{2}}[/tex] =  [tex]\frac{16}{3}[/tex]

C. One Solution
5. Determine whether this equation has no solution, one solution, or infinitely many solutions.
p+ 9 = 2p-3

Answers

Answer:

One Solution

Step-by-step explanation:

p+9=2p-3

subtract 9 from both sides

p+9=2p-3

-9 -9

simplify

p=2p-12

subtract 2p from both sides

p=2p-12

-2 -2

simplify

-p= -12

divide both sides by -1

p=1

Select three ratios that are equivalent to 5:2
Choose 3 answers:


(Choice A)
A
2:5

(Choice B)
B
10:4

(Choice C)
C
20:50

(Choice D)
D
35:14

(Choice E)
E
55:22

Answers

Answer:

B,D,E

Step-by-step explanation:

b-multiply by 2 for both

d- multiply by 7 for both

e-multiply by 11 for both

6x - 12 y = 24
-X-6y=4

Answers

Answer:

x=2

y=-1

Use the system of equations to solve for it

Tyson brought a bag of coins into the bank to be counted. The bag contained only nickels and
dimes. There were a total of 220 coins and the total value of those coins was $15.50.
Use what you have learned about systems of linear equations to determine how many of the coin
were nickels and how many were dimes. Then, fill in the blanks below with your answer.
number of nickels is
number of dimes is

Answers

There will be 130 nickels and 90 dimes. 100 nickels is 5 dollars. 90 dimes are 9 dollars. And then there will be 30 left. 30 dimes isn’t 1.50$ bur 30 nickels is 1.50$ so you add the 30 to the nickels and it’ll be exactly 15.50$.

Answer:

15 50..…......................

At the instant when the radius of a cone is 3 inches, the volume of
the cone is increasing at the rate of 9 pi cubic inches per minute. If
the height is always 3 times the radius, find the rate of change of the
radius at that instant.

Answers

Answer:

The rate of change of the radius of the cone when the radius is 3 inches is 0.[tex]\overline 3[/tex] inch/minute

Step-by-step explanation:

The given parameters are;

The radius of the cone = 3 inches

dV/dt = 9·π in.³/min

The height, h = 3 × Radius, r

The formula for the volume of a cone, V is V = 1/3×π×r²×h = 1/3×π×r²×3×r = π·r³

Therefore, we have;

dV/dt = dV/dr × dr/dt

dV/dr =3·π·r²

∴ dr/dt = dV/dt/(dV/dr) = 9·π/(3·π·r²) = 3/r²

When r = 3 inches, we have;

dr/dt = 3/r² = 3/(3²) = 1/3 inch/minute

The rate of change of the radius of the cone when the radius is 3 inches = 0.[tex]\overline 3[/tex] inch/minute

Noam solved the equation for k using the following calculations. k-7.6 = 10.35 + 7.6 +7.6 k= 1741 What error, if any, did he make? He should have subtracted 7.6 instead of adding it. He should have subtracted 10.35 from both sides. O He made a computation error when he added 10.35+746. O He made a computation error when he added -7.6 and 7.6.​

Answers

Answer: C- He made a computation error when he added 10.35+7.6.

Step-by-step explanation:

Noam did not line up the decimals when he was adding 10.35 and 7.6. So if you line up the decimals, you would get 17.95 instead of 17.41.

Answer

C.

Step-by-step explanation:

He made a computation error when he added 10.35+746.

*Cough* E d g e n u i t y *Cough*

Sorry I think I am coming down with something...

*Cough* It's right *Cough*

Please give me brainliest!!

Joseph drove to Carly’s house for dinner. He was away from his house for 2 hours. He spent 50minutes at Carly’s house. Driving to and from Carly’s house he drove at a speed of 45mph. How far away from Carly does Joseph live?

Answers

70 miles

Hope this helps

-Millie

Simplify

-6 - 7(c + 10)


A 64 - 7c

B -76 - 7c

C 4 - 13c

D -16 - 13c

Answers

-6-7(c+10)
-6-7c-70
-76-7c
B


The length of a rectangle is 2 feet more than twice the width. The perimeter is 34 feet. What are the dimensions of the rectangle?

Answers

Answer:

5 feet

Step-by-step explanation:

5(2) + 2 = 12

12 x 2 = 24

5 x 2 = 10

10 + 24 = 34.

Hope It Helps!

The dimensions of a rectangle are;

Length = 32 feet

Width = 15 feet

Here,

The length of a rectangle is 2 feet more than twice the width.

The perimeter of a rectangle is 34 feet.

What are the dimensions of the rectangle?

The two main dimensions of a rectangle are length (L) and width (W).

Now,

Let width of the rectangle is x

Then, length of rectangle is 2x + 2

The perimeter of a rectangle is 34 feet.

⇒ x + x + (2x + 2) +( 2x + 2) = 34

⇒ 6x + 4 = 34

⇒ 6x = 30

⇒x = 5

Hence, The dimensions of a rectangle are;

Length = 2x + 2 = 32 feet

Width = x = 15 feet

Learn more about The dimensions of a rectangle visit:

https://brainly.in/question/587424

#SPJ2

Chloe needed to get her computer fixed. She took it to the repair store. The technician
at the store worked on the computer for 3.5 hours and charged her $197 for parts.
The total was $389.50. What was the cost of labor, per hour?

Answers

Answer:

he took $55.8for 1hr

Step-by-step explanation:

it's because we should devid eit for calculation for minute

Which expression is equivalent to x^5 • x^2?

x^3

x^7

x^10

(x + x)^7

Answers

Answer: x^7

Step-by-step explanation: x5*x2

=(x*x*x*x*x)*(x*x)

=x*x*x*x*x*x*x

=x7

Please he me the correct answer

Answers

Answer:

It will cost $215 for 2 guests to rent a cabin.

Step-by-step explanation:

$175+20(2)=$215

The total for both 2 guests are $390. Each time someone rents a cabin they have to add $20 more. $175+$20+$195. So $195 will the cost for a cabin for a guest. But we need 2 cabins which means to multiply $195 with 2 which gives you $390. So both 2 guests needs $390 to rent 2 cabin.

The price of a math book after a discount of 25% is $45, find the original price of the book.

Answers

Answer:

Step-by-step explanation:

let original price be x

x=45/(1-25/100)= 45/(1-0.25)=45/.75=60

x=60

Answer:

25 percent off 45.00 is 33.75. The difference is 11.25. Hope that helps :)

Step-by-step explanation:

What goes on the lines I don’t understand the problem

Answers

Answer:

Step-by-step explanation:

a). Let the number of spoons = x

And number of forks = y

Total number of spoons and forks bought by Perry = 10

x + y = 10 --------(1)

Cost of one spoon = $5

Cost of one fork = $3

Therefore, total cost of x spoons and y forks = $(5x + 3y)

5x + 3y = 42 -------(2)

b). Now we can convert these equations into the slope-intercept form.

x + y = 10 ⇒ y = -x + 10

Table for input output values,

x        2         4          6          

y        8         6          4                

5x + 3y = 42

3y = -5x + 42

y = [tex]-\frac{5}{3}x+14[/tex]

x        0           3          6        

y       14           9          4                  

Point of intersection of these lines will be (6, 4).

What are the slope, m, and the y-intercept, B, of a line that pases through the points (-2,1)and (8,-5)?
A. m=-5/3 and b=-7/3
B. m=-3/5 and b=-1/5
C. m=-3/5 and b=11/5
D. m=5/3 and b=13/3​

Answers

Answer:

B. m= -3/5 and b= -1/5

Step-by-step explanation:

Given points:

(-2, 1) and (8, -5)

Slope is:

m = (y2 - y1)/(x2 - x1)m = (-5 - 1)/(8 - (-2)) = -6/10 = -3/5m = -3/5

Use formula y = mx + b, substitute x = -2, y = 1, m = -3/5, find y-intercept b:

1 = (-3/5)*(-2) + b1 = 6/5 + bb = 1 - 6/5b = - 1/5

Correct option is B.

Step-by-step explanation:

[tex] m \: = \: -3/5 \: and \: b \: = \: -1/5[/tex]

please help it’s due today

What is the equation of the line in point-slope form that passes through the point (7,-4) and has a slope of 1/2 ?
a. y+ 7 = 1/2 (x – 4)
b.y-7= 1/2 (x + 4)
c.y - 4 = 1/2 (x + 7)
d.y+4 = 1/2(x - 7)

Answers

Answer:

d.   [tex]y+4=\frac{1}{2}(x-7)[/tex]

Step-by-step explanation:

Here m=1/2 and (x1, y1)=(7, -4)

Equation of line in point slope form is given as

[tex]y-y_1=m(x-x_1)[/tex]

Therefore

[tex]y+4=\frac{1}{2}(x-7)[/tex]

Characterize the slope of the line in the graph,
A. Positive
B. Negative
C. Zero
D. Undefined

Answers

Answer: D
i’m not positive sorry if i’m wrong
i think is d if it was zero it would horizontal

HELP ASAP PLS I RLLY NEED HELP​

Answers

Answer:

• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier

Step-by-step explanation:

• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier

how do i graph
y=-3/4x-1

Answers

Answer:

Start at -1 and go down 3 right 4,repeat. Then up 3 left 4 from -1, repeat.

Step-by-step explanation:

Answer:

So start at the y intercept which is -1 in this case becuase the point slope formula goes like

y=mx+b

m= slope

b= y-intercept

Y= Ranodm Y coordinate

X= Random X coordinate

You don’t have to worry so much about the x and Y, the main focus while graphing is the slope (m) and the y-intercept (y)

So -1 is the y-intercept so you go to -1 on the graph on the Y axis, it should be right below 0.

Now to make the points, the slope is -3/4

So a slope is written rise/run

Rise is going up and run is going right

-3 is the rise

4 is the run

Since the slope is negative (due to having a negative on 1 side)

We just do the opposite for the rise

Go down 3 and go to the right 4.

There you have it

Also for image reference

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