Find the equation of the line through the point ( 3 , − 7 ) that is perpendicular to the line with equation y = x − 12 .

Answers

Answer 1

Answer:  y = -x - 4

Step-by-step explanation:

A perpendicular line has a slope that is the negative inverse of the reference line, which is y = x-12.  The slope here is 1, so the negative inverse would be -1/1, or -1.  The perpendicular line would therefore be:

y = -1x + b

We can find b by using the given point (3,-7) as a solution:

y = -1x + b

-7 = -1*3 + b

b = - 4

The equation is therefore   y = -x - 4


Related Questions

Leila runs at 12 miles per hour. Find the number of miles she can travel if she runs for k less than 6 hours.

Answers

Distance is the product of speed and time. Hence, the distance covered by Leika is 12k - 72 miles.

Given that :

Speed = 12 miles per hour Run Time = k - 6

Recall :

Distance traveled = Speed × time

Distance covered by Leila can be calculated thus :

Distance = 12 × (k - 6)

Distance = 12k - 72

Therefore, the distance covered by Leila is 12k - 72 miles.

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For the time k less than 6 hours, the distance that Leila travel is less than 72 miles.

The given parameters;

speed of Leila, v = 12 miles per hourtime of motion of Leila = k < 6 hours

The maximum distance that Leila can travel in a time less than 6 hours is calculated as follows;

Distance < speed x time

Distance < 12 mph x 6 hours

Distance < 72 miles

Thus, for the time k less than 6 hours, the distance that Leila travel is less than 72 miles.

Learn more here:https://brainly.com/question/17859945

help help help me plssssssss

Answers

Answer:

2,276 ≤ 2,336.6 < 60.6

Step-by-step explanation:

I. When m is combined mass of car and person which is

2,276 + 60.6 = 2,336.6

II. Write into the interval a <= m < b

So we can write as

2,276 ≤ 2,336.6 < 60.6 will return to False.

or

60.6 ≤ 2,336.6 < 2,276 will return to False.

That makes 2,276 ≤ 2,336.6 < 60.6 is the right answer.

Hope that help :)

Please heeeelp
The following set of ordered pairs represents a function. (1,8), (3,6), (5,4), (7,2)
What is the domain of the function?

A- All odd integers from 1 to 7
B-All integers from 1 to 8
C- All rational numbers from 1 to 7
D- All even integers from 2 to 8

Answers

Answer:

I believe it would be all positive numbers 1-7. You have to look at the x, or, input values. I hope I got this right.

Step-by-step explanation:

NEED HELP ASAP!!
find the measure of the angle.

Answers

Answer:

35 degree

bsjjskskshsbbsvdvxhusow

Instructions- Solve the system of equations. Type in all points of intersection for the two functions and round to the nearest tenth if necessary.


f(x) = -0.5x+2
8(x) = -5x + 3

Answers

f(×)=-0,5x+2

8(×)= -5x+3

8×= -5x+3

8-5x+3

3x+3

x6

The nearest tenth as required, the point of intersection expressed as (0.2, 2.1).

To solve the system of equations,  to find the points where the two functions intersect, which means the x-values where f(x) equals g(x). Let's proceed with the solution:

f(x) = -0.5x + 2

g(x) = -5x + 3

Set f(x) equal to g(x):

-0.5x + 2 = -5x + 3

Now, let's solve for x:

Add 0.5x to both sides to eliminate the term with x on the left side:

2 = -4.5x + 3

Subtract 3 from both sides:

-1 = -4.5x

Now, divide by -4.5 to isolate x:

x = -1 / -4.5

x ≈ 0.2222

Now that we have the x-value of the point of intersection, let's find the corresponding y-value by plugging x back into either f(x) or g(x). Let's use f(x):

f(x) = -0.5x + 2

f(0.2222) = -0.5(0.2222) + 2

f(0.2222) ≈ 2.1111

So, the point of intersection is approximately (0.2222, 2.1111).

To know more about intersection here

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#SPJ2

What type of number is -15/3
a. whole number
b. integer
c. rational
d. irrational
(MULTIPLE CHOICE)

Answers

Answer:

integer

Step-by-step explanation:

the answer is interesting

Rational numbers. Look at the pictures i added

Help! I need this for a assignment and I don’t understand!

Answers

Answer:

Sydney

Step-by-step explanation:

Every other one actually makes sense but if you use her method on any other equation it wouldn't work.

find the output (y) of the function y = - 4/15 x + 24 if the input is 120. x = ________

Answers

Answer:

Step-by-step explanation:

i don't care

How can you model geometry figures to solve real-world problems? Complete the explanation to answer the question. You can use drawings to plan rooms or gardens since the (Ratio/Dimension/scale) of the drawing is a (Ratio/Dimension/scale) between 2 sets of measurements. It shows how each (Ratio/Dimension/scale) in a drawing relates to the actual object.

Answers

the ratio Dimensions are in other Dimensions buuut you have to watch

out for the 7 cat walks because you really wont see them in till you die from it

4/5 of the money collected from a fundraiser was divided equally among 8 grades
What fraction did each grade receive?​

Answers

Answer:

1/10

Step-by-step explanation:

your equation is 4/5 divided by 8/1.

Lets solve that problem with the acronym KCF, or

Keep

Change

Flip.

K: "keep" the first fraction, or the one you are multiplying with, so 4/5 stays the same.

C: "change" the division sign to a multiplication sign, so 4/5x8/1

F: "flip" the second fraction, so 8/1 becomes 1/8.

now our equation is 4/5x1/8. If we solve that, we get 4/40, which reduced is 1/10.

please answer quick !!! The intersection of parallel lines b and c and transversal line d form several special angle relationships, as shown in the image below. If ∠1 measures 135°, what is the measure of ∠6? 90° 135° 45° 65°

Answers

Answer:

45

Step-by-step explanation:

Arrange the following inequality into slope-intercept form. Then, describe what type of boundary line would be used and where to shade.

6x > 2y ‒ 5

Answers

Answer:

To put this equation in point slope form, we want an equation of the form y=mx+b or in this case, y< mx+b or y< mx+b. To isolate y, we divide through by 2 and move the 5/2 to the other side, so the equation becomes 3x+5/2 > y. So, since we are interested in all values of y that are less that 3x+5/2 we would shade the region below the line. Since y=3x+5/2 is not a solution to the inequality since it is strictly less, we would need a dashed boundary line since the boundary is not included.

Step-by-step explanation:

If seven is added to four times a number, the result is twenty-five more than the number. Round your answer to the nearest integer, if necessary.

Answers

Answer:

6

Step-by-step explanation:

first, set up the equation

4x+7 = x+25

solve for x:

4x = x + 18

3x = 18

x = 6

have a wonderful day! :)

STEM The average temperature on the planet Neptune is –214 °C. The
temperature on the south pole of Neptune is thought to be 10 °C. Is this
colder or warmer than the average temperature? Write an inequality to
support your answer.
Which is colder??

Answers

Your mom eats my hair

Determine the type of fee that will be charged in each situation. John's broker provided him with stock-trading software to manage his trading. Reggie's broker charged him a front-end load of 2.75% when he purchased a fund. Lisa sold 50 shares of stock A on a given day. Her broker charged her $12 for this trade. Pete isn't a regular investor. He hasn't bought or sold any stock this year. His broker charged him an inactivity fee of $75 for the year. Joanne's brokerage firm charged her for providing investment information to help her make informed choices.

Answers

Answer:

Transaction Fee

- Lisa sold 50 shares of stock A on a given day. Her broker charged her $12 for this trade.

- Reggie’s broker charged him a front-end load of 2.75% when he purchased a fund.

Non-Transaction Fee

- Joanne’s brokerage firm charged her for providing investment information to help her make informed choices.

- Pete isn’t a regular investor. He hasn’t bought or sold any stock this year. His broker charged him an inactivity fee of $75 for the year.

- John’s broker provided him with stock-trading software to manage his trading.

Step-by-step explanation:

Got it right on plato :)

Answer:

Transaction fee:

Lisa sold 50 shares of stock A on a given day. Her broker charged her $12 for this trade.

Reggie’s broker charged him a front-end load of 2.75% when he purchased a fund.

Non-transaction fee

Joanne’s brokerage firm charged her for providing investment information to help her make informed choices.

John’s broker provided him with stock-trading software to manage his trading.

Pete isn’t a regular investor. He hasn’t bought or sold any stock this year. His broker charged him an inactivity fee of $75 for the year.

The functionf(x)is shown in the graph.

What is the equation forf(x)?



Enter your answer in the box.

Answers

Answer:7/5x -3

Step-by-step explanation:

3
4
5
O
1
Austin, Kevin and Lisa have a total of $159. Austin has $11 more than Kevin. Lisa has twice as much money as
Keyin. How much money does Lisa have?

Answers

Answer:

Step-by-step explanation:

A+K+L=159

A-K=11

2K=L

Plug in 2K instead of L in the equation: A+K+L=159

A+3K=159

Plug in K+11 instead of A in the equation: A+3K=159

4K+11=159

4K=148

Kevin=$37

Pluge in 37 instead of K in the equation: A-K=11

A-37=11

Austin=$48

Plug in 48 instead of A and 37 instead of K in the equation: A+K+L=159

48+37+L=159

L=74

Anyone know this?

I’ll brainlist !!

Answers

Answer:

0.000090.00580.000000620.000006456000008000.

hope this helps you

PLEASE HELP. THIS IS DUE SOON AND CAN'T GET AN ANSWER!

Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)


Part B: Solve for k in each type of transformation. (4 points)


Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)

Answers

Answer: you need to give some type of an equation for all three

Step-by-step explanation:

Which simplified equation below represents the equation of the line, y - y1 = m(x - x1), through the point (4,4) that is perpendicular to x - 3y = -18?
A: y = 2/3x + 8/3
B: y = -3x + 4
C: y = 1/3x + 4
D: y = -3x + 16
(I asked this already but some genius messed it up)

Answers

Answer:

D

Step-by-step explanation:

y-y1=m(x-x1) through (4,4)

x-3y= -18 is perpendicular : m1*m2=-1

y=mx+c

-3y=-18-x

3y= 18+x

y=x/3 + 6

y= 1/3x + 6

m1*m2= -1

m1= -1/m2

m1= -1/1/3

m1= -3

y- 4= -3(x - 4)

y-4= -3x +12

y= -3x +12+4

y= -3x + 16

One hundred must be raised to what be equal to a million cubed

Answers

Answer:

100^9

Step-by-step explanation:

100 to the 9th power because 100^3 equals 1 million. think of it as (100^3)^3

Solve for x given the point (x,9) is a point on the line y = 3x + 7.

Answers

Answer:

0.67 = x

Step-by-step explanation:

to solve the value of x we need to : (x,9)

y = 3x + 7

9 = 3x + 7

9 - 7 = 3x

2 = 3x

2/3 = x

0.67 = x

From the given point (x , 9) let's plug the value of its y - coordinate of into Equation - y = 3x + 7 and solve for x :

[tex]9 = 3x + 7[/tex]

[tex]2 = 3x[/tex]

[tex]x = \dfrac{2}{3} [/tex]

hence, value of x = 2/3

Find the perimeter and area of the rectangle of 5 inches and 7 inches

Answers

Perimeter = 24 inches. Area = 35 inches. P = (b x 2) + (h x 2). A = b x h. Please give me brainliest if you found this helpful :)

Please help me need help.

Answers

Answer:

On the image.  

Step-by-step explanation:

On the image. Hope this helps!

if 1+1=2?
can somebody help me to find 5+5?
thanx (:

Answers

Answer:10

Step-by-step explanation:

If you have 5 dots + 5 more dots that’s 10 dots in all

How long will it take for a $2000 investment to grow to $2786 at an annual rate of 4.6% , compounded quarterly? Assume that no withdrawals are made.

Answers

Answer:

7.4

Step-by-step explanation:

use the compound interest formula

I=P(1+r/100)<n

2786=2000(1+4.6/100)^n

divide 2000 by both side

1.393=(1+4.6/100)^n

1.393=1.046^n

introduce the log

log1.393=rlog1.046

divide both with log1.046 to get the value of n

n=7.4

What is the solution to the equation −p − 13 = −4 /3 p + 2/3 ( 5p − 6 ) ?


((will give brainliest to best answer

Answers

Answer:

The answer is p= 2 and 1/3

Step-by-step explanation:

This answer can be found using the order of operations to solve for p.

Start by distributing 2/3 by (5p-6)

add -4/3p to 10/3p equaling 6/3p or 2p

subtract 13 from both sides

-p= 2p - 7

p=2 and 1/3

Helllp pls help and don’t comment if u don’t know

Answers

Answer:

a) 7z³+2z²-2z+1

b)2x²+3x-8

Step-by-step explanation:

a) (7z³+4z-1)+(2z²-6z+2)

   7z³+2z²-2z+1

b) (5x²-2x-1)-(3x²-5x+7)

   5x²-2x-1-3x²+5x-7

   2x²+3x-8

For the first one Answer:7z^3 −2z+1+2z^2

Step-by-step explanation:

(7z ^3

+ 4z −1)+(2z^2

− 6z +2)

Combine 4z and −6z to get −2z.

7z3  − 2z −1 + 2z2  +2

Add −1 and 2 to get 1.

7z3  − 2z + 1 + 2z2

Rate
1-10 i need to know

Answers

Answer:9?

Step-by-step explanation: hair

express as trinomial (2x−3)(3x−3)

Answers

(2x-3)(3x-3) = 6x^2 - 15x + 9
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