Find the equation of the line described.
Perpendicular to y = 3x + 6; passing through the point (4,5).
The line equation is y =

Answers

Answer 1

Answer:

y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{19}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 6 ← is in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex] , thus

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c , substitute (4, 5) into the partial equation

5 = - [tex]\frac{4}{3}[/tex] + c ⇒ c = 5 + [tex]\frac{4}{3}[/tex] = [tex]\frac{19}{3}[/tex]

y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{19}{3}[/tex] ← equation of perpendicular line


Related Questions

Use a graph to find x and y values that make both y=-2/3 and y=2x-5 true

Answers

Answer:

use desmos to find the answer

What are the equation and slope of the line shown on the grid?

Answers

what grid ⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀

Answer: The slope will be the same for a straight line no matter which two points you pick as you know. All you need to do is to calculate the difference in the y coordinates of the 2 points and divide that by the difference of the x coordinates of the points(rise over run). That will give you the slope. y = mx+b is the equation to get slope.

Step-by-step explanation:

Can anyone answer this please?

Answers

i think its 4x and I'm sure

Answer:

c option 4x because it is multiplied

The function f(x) = x^3 has been transformed, resulting in function h.

h(x) = -(x+2)^3-4


To create function h, function f was translated 2 units (down, to the left, up to the right) , translated 4 units (to the right, down to the left, up) , and reflected across the (y-axis, x-axis) .

Answers

Answer:

To create function h, function f was translated 2 units to the right, translated 4 units down and reflected across the y-axis.

Step-by-step explanation:

Since f(x) = x^3 is transformed to h(x) = -(x+2)^3-4, by

1. Adding 2 to x in x³ to give f'(x) = f(x + 2) = (x + 2)³.

2. We now translate f(x + 2) down by subtracting 4 from f(x + 2) to give

f''(x) = f'(x) - 4 = f(x +2) - 4 = (x + 2)³ - 4.

3. We now reflect f'(x) across the y-axis by multiplying (x + 2)³ by -1 to get

h(x) = -(x + 2)³ - 4.

Answer:

its 2 to the left, 4 units down, and over the x axis.

Step-by-step explanation:

not my answer just the one from the comments

Find the distance between the points (4, 8) and (2, -7). Round the nearest tenth.

Answers

15.1
distance between x is 2 and between y is 15
2 squared + 15 squared is 229
sq root of 229 rounded is 15.1
hope i did this right and it helps

what is the measurement of B A D?​

Answers

Answer:

BAD is 119 degrees.

Step-by-step explanation:

EFC and BAD are vertical angles, meaning that they are congruent.

A meal costs $30 before tax and tip.
There is a 7% sales tax. After the tax, a 20% tip is
added.
What is the total after tax and tip?

Answers

Answer:

13.50

Step-by-step explanation:

you multiply 30 with 0.7 to get the tax then divide by 20% of that to get the answer

Answer:

bill = $30

sales tax = 0.07         from 70%

tip = 0.2      from 20%

After Tax Bill

After Tax Bill = Bill * (1 + sales tax)

After Tax Bill = $30 * (1 + 0.07)

After Tax Bill = $30 * 1.07

After Tax Bill = $32.1

Total after tax and tip

Total Bill = After tax Bill * (1 + tip)

Total Bill = $32.1 * (1 + 0.2)

Total Bill = $32.1 * 1.2

Total Bill = $38.52

See more: https://brainly.com/question/30113837

Step-by-step explanation:

heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ  -{ elyna s }-

What is the slope of the line passing through the points (0,4) and (-8, -1)?

A. -8/5

B. -5/8

C. 5/8

D. 8/5

Answers

Answer:

5/8

Step-by-step explanation:

[tex] slope \: = \frac{( - 1) - 4}{( - 8) - 0} = \frac{5}{8} [/tex]

Answer: B. -5/8

Step-by-step explanation:

On the observation platform in the crown of the Statue of Liberty, Miguel is approximately 250 ft above ground. He sights a ship in New York harbor and measures the angle of depression as 18 degrees. Find the distance from the ship to the base of the statue. Show work

Answers

Answer:

Let the distance from the base of the statue to the ship be d, then

tan 18 = 250/d

d = 250 / tan 18 = 769.4

The distance from the base of the statue to the ship to the nearest foot is 769 feet.

Step-by-step explanation:

2(x+4) = 22 please help

Answers

Answer:

x=7

Step-by-step explanation:

2x+8=22

2x=22-8

2x=14

x=7

Answer: 9

Step-by-step explanation: 22-4=18 18/2=9

Transversal t intersects lines d and e to form 8 angles. The angles formed with line d, clockwise from top left are 1, 2, 7, 8. The angles formed with line e, clockwise from top left are 3, 4, 5, 6. Which angle is an alternate exterior angle to ∠8? ∠3 ∠4 ∠5 ∠6

Answers

Answer:

B. Angle 4

Step-by-step explanation: because they're opposites sides of the transversal

I don't really have a reason and this is the best I got...it just randomly clicked it and got it right so ya. Sorry I wasn't able to explain it :(:

Answer: The answer is B, (4 and 2)

Step-by-step explanation: Just got it correct on Edge, hope this helps :)

what is the length of the missing side?​

Answers

Answer:

43

Step-by-step explanation:

Water is poured into container A so that it’s 2/3 full.
Container A is then poured into container B
Calculate the depth of the water in B

if you can’t see the picture they are the measurements:

A(H =12cm W=8cm D=8cm)

B(H=8cm W=10cm D=10cm)

Answers

Step-by-step explanation:

Volume of Container A

= (8cm)(8cm)(12cm) = 768cm³.

Volume of water = 2/3 * Volume of Container A

= (2/3) * 768cm³ = 512cm³.

Base Area of Container B

= (10cm)(10cm) = 100cm².

Hence Depth of water in Container B

= 512cm³ / 100cm² = 5.12cm.

Christine is making a quilt. Fabric costs 13.50 for 3 yards. What is the price of 5 yards

Answers

Answer:

22.5

Step-by-step explanation:

Divide 13.50 by 3. That's how much each yard costs. Then multiply the answer, 4.5 by 5=22.5

What will most likely happen to a characteristic that has a high survival value in a population?

The characteristic will...

Answers

The characteristic will spread and be more common throughout populations.

The required characteristic that has a high survival value in a population is likely to become dominant or common.

What is Statistic?

Statistics is the study of mathematics that deals with relations between comprehensive data.

A characteristic that has a high survival value in a population is likely to become more common over time. This is because individuals with this characteristic are more likely to survive and reproduce, passing the trait on to their offspring. Over generations, this process, known as natural selection, can lead to an increase in the frequency of the advantageous trait in the population. Over time, the characteristic that has a high survival value in a population is likely to become dominant.

Thus, the required characteristic that has a high survival value in a population is likely to become dominant or common.

Learn more about Statistics here:
https://brainly.com/question/23091366

#SPJ6

The table below shows the population of different duck species at a local pond. Which term best describes the total number of Mallards in the pond?

Duck Pond Samples
Sample 1
Sample 2
Mallard
13
Mallard
12
Wood Duck
4
Wood Duck
2
Green Wing Teal
6
Green Wing Teal
6
American Widgeon
2
American Widgeon
5
Mallard population
duck population
proportion of Mallards
sample of Mallards

Answers

Answer:

A

Step-by-step explanation:

Answer:

A) Mallard population

Step-by-step explanation:

4(f+3)=62 whats the value of f

Answers

Step-by-step explanation:

4f+12=62

4f=62-12

4f=50

f=50/4

f=12.5

If x + 3 = 7, then what does (x + 1)2 equal?
25
49
64
121
Help pls

Answers

Answer:

no im not going to help you

Step-by-step explanation:

Could you just tell me how to do it, and not tell me the answer? So that way i can show my work.

Answers

Answer:

Step-by-step explanation:

a^2 + b^2 = c^2

ex 1.) 10^2 + 9^2 = C^2

you must find c

100 + 81 = 181

find sqrt of 181

[tex]\sqrt{181}[/tex]= 13.5

C= 13.5

Answer:

I will give two examples of the problem

Step-by-step explanation:

1. a^2+b^2=c^2

9^2+x^2=10^2

81+x^2=100

x^2=100-81

x^2=19

square root both sides and you get x=19

2.

5^2+x^2=11^2

25+x^2=121

x^2=121-25

x^2=96

square root both sides and you get 4[tex]\sqrt{6}[/tex]

A classroom board is 30 inches wide and 18 inches tall. Gill is putting ribbon along the outside edge of the board. How many inches of ribbon does he need?

Answers

Answer:

96 inches

Step-by-step explanation:

Use perimeter to measure the outside edges of something.

(30 × 2) + (18 × 2)

30 + 30 + 18 + 18

96 inches of the ribbon would be needed

In order to determine the inches of ribbon needed, we are to calculate the perimeter of the board

The board is in the shape of a rectangle, so we would use the formula for the perimeter of a rectangle to determine the length of the ribbon needed.

Perimeter of a rectangle = 2 x (length + breadth)

2 x (30 + 18) = 96 inches

To learn more about the perimeter of a rectangle, please check: https://brainly.com/question/18793958?referrer=searchResults

The number of fiction books in a libary is %150 of the number of non-fiction books. the libary has 4,000 books in total. how many fiction books and how many non-fiction book are in the liabry?

Answers

Answer:

The number of

Fiction books = x = 2400 fiction books

Non fiction books = y = non fiction books

Step-by-step explanation:

Let the number of

Fiction books = x

Non fiction books = y

The libary has 4,000 books in total.

Hence: x + y = 4000........ Equation 1

The number of fiction books in a libary is %150 of the number of non-fiction books.

x = 150% of y

x = 150/100 × y

x = 1.5y

We substitute 1.5y for x in Equation 1

x + y = 4000

1.5y + y = 4000

2.5y = 4000

y = 4000/2.5

y = 1600 non fiction books

Solving for x

x = 1.5y

x = 1.5 × 1600

x = 2400 fiction books.

Therefore,

The number of

Fiction books = x = 2400 fiction books

Non fiction books = y = non fiction books

There are 32 students in a class. Of the class, 3/8 of the students bring their own lunches. How many students bring their lunches?​

Answers

12 students brought there own lunch.

Answer:

12 students

Step-by-step explanation:

We know that there are 32 students in a class and 3/8ths of those students bring their own lunches, so we need to find 3/8ths of 32, to find out the number of students that bring their own lunches.

Multiply 3/8 and 32

3/8 ×32

we can reduce each by 8

3×4=12

12 students.

You can double check by doing 12/32, and seeing that it is equal to 3/8

Hope this helps! :)

You have already spent $24 shopping online for clothes. Write and solve an inequality to represent the additional amount you must spend to get free shipping.

Answers

Complete question :

You have already spent $24 shopping online for clothes. Write and solve an inequality to represent the additional amount you must spend to get free shipping.( Get stand d free shipping when you spend $75 or more).

Answer:

x ≥ 51

Step-by-step explanation:

Amount to be spent to become eligible for free shipping $75 or more

Amount already spent = $24

Amount left to spend to become eligible, x ;

x ≥ (75 - 24)

x ≥ 51

Answer:

You have already spent $24 shopping online for clothes. Write and solve an inequality to represent the additional amount you must spend to get free shipping.( Get stand d free shipping when you spend $75 or more).

Step-by-step explanation:

1.5 X 9.34 ple help it’s for 25 points

Answers

Answer:

wnwhhwhwhwhw The answer is 14.01

Answer:

14.01

Step-by-step explanation:

a rocket was launched into the air from a platform above the ground

Answers

Answer:

what kind of question is

Step-by-step explanation:

that


Estimate using Compatible numbers for

5564 divided by 91

Answers

Answer:

estimate = 61

real answer = 61.1428571429

Step-by-step explanation:

Simplify the following expression: 3w-8-w+10
Im confused about simplifying so simplifying it would probley help me

Answers

Answer:

ok!

Step-by-step explanation:

3w-8-w+10

2w+2

PLEASE HELP I DON'T UNDERSTAND AT ALL

Answers

Answer:

I think it is D

Step-by-step explanation:

sorry if I am wrong

Please help me I'm really stuck lol. I'll give the first correct answer Brainliest!

Answers

Answer:

9, 12, -5

Step-by-step explanation:

Let us move all the terms to one side.

9x^2+12x-5=0

Therefore, using the quad formula of ax^2+by+c=0,

a=9

b=12

c=-5

Hope this helps! :)

So you need to find the variable for. X =

X + 5 = -1

Answers

it should be x= -6, if you’re trying to figure out what X is
Find the x
Answer: x=-6
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