What is the equation of the line perpendicular to the line y = 2x + 3 with a y-intercept of -6

Answers

Answer 1

Answer:

         y = -¹/₂ x - 6

Step-by-step explanation:

Two lines are perpendicular if the product of theirs slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇒    m₁×m₂ = -1

 

y = 2x + 3   ⇒   m₁=2

2×m₂ = -1        ⇒    m₂ = -¹/₂

The y-intercept is b=-6 so the equation in  slope-intercept form:

                                                y = -¹/₂ x - 6


Related Questions

Find the values of x and y in the equation below.
aby
08
y =
DONEM

Answers

Answer:

x=6

y=18

Step-by-step explanation:

I just took the assignment in edg ;)

The top and bottom margins of a poster are each 6.5 cm and the side margins are each 4.5 cm. The area of printed material on the poster is fixed at 384 cm^2.

Answers

Answer:

384cm^2,

Step-by-step explanation:

The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area of printed material on the poster is fixed at 384 cm^2,

What is the slope of the line that passes through the points (-9,8) and
(-21, 10)? Write your answer in simplest form.

Answers

Answer:

The slope is -1/6

Step-by-step explanation:

We simply use the slope formula here

Mathematically, we have this as;

m = (y2-y1)/(x2-x1)

thus;

m = (10-8)/(-21 + 9) = 2/-12 = -1/6

What is the value of g(-3) if f(x)=2x-1 and g(x)=-x+1?

Answers

Answer:

it's answer is 4

Step-by-step explanation:

given

g(x) = - x + 1

g(-3) = -(-3) + 1

= 3 + 1

=4

Hope it will help you :)❤

Help me please, need it asap

Answers

A=84 let me know if you want me to show my work

Answer:

the answer is 97,4 kilometers

Please helpppppp !!!!!!!!!!!!!! Will mark Brianliest correct answer !!!!!!!!

Answers

Answer:

21

Step-by-step explanation:

a^2 + b^2 = c^2

20^2 + b^2 = 29^2

400 + b^2 = 841

b^2 = 441

21 = b

NEED HELP NOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Factor completely 5x2 − 5x − 100.

Answers

Answer:

5(x - 5)(x + 4)

Step-by-step explanation:

Given

5x² - 5x - 100 ← factor out 5 from each term

= 5(x² - x - 20) ← factor the quadratic

Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (- 1)

The factors are - 5 and + 4, since

- 5 × 4 = - 20 and - 5 + 4 = - 1, then

x² - x - 20 = (x - 5)(x + 4) and

5x² - 5x - 100 = 5(x - 5)(x + 4)

Answer:

Step-by-step explanation:

here you go mate

step 1

5x2 − 5x − 100  equation

step 2

5x2 − 5x − 100  factor

5x^2 - 5x - 100 = 5

answer

5(x+4)(x-5)

3(8 - x) = 7x - 6
Can someone explain how to get the answer please

Answers

Answer:

x=3

Step-by-step explanation:

The steps are in the picture below.

Thomas got a flat tire and had to walk 1/4 mile to the nearest gas station. How many feet did Thomas walk?

Answers

Answer:

[tex]1320\ \text{feet}[/tex]

Step-by-step explanation:

The distance Thomas walked to the nearest gas station is [tex]\dfrac{1}{4}\ \text{mile}[/tex].

The conversion factor for miles to feet is

[tex]1\ \text{mile}=5280\ \text{feet}[/tex]

So

[tex]\dfrac{1}{4}\ \text{mile}=\dfrac{1}{4}\times 5280[/tex]

[tex]=1320\ \text{feet}[/tex]

Hence, Thomas had to walk [tex]1320\ \text{feet}[/tex] to get to the nearest gas station.

What is the slope of the line that passes through (3,5) (7,3)

Answers

y = -2x + 13
I am 90% sure that is correct

Which of the following lines is perpendicular to y=1/4x-3?

A. y = 4x
B. 4x - y = -2
C. y = -4x + 6
D. 8x - 2y = 3
E. y = 4x + 9

(I think it’s either C, or D, please help I don’t understand)

Answers

Answer:

The answer is

[tex]y = - 4x + 6[/tex]

Step-by-step explanation:

Negative reciprocal for the slope.

The equation of the perpendicular line will be y = -4x + d. Then the correct option is C.

What is the equation of a perpendicular line?

Let the equation of the line be y = mx + c. Then the equation of the perpendicular line that is perpendicular to the line y = mx + c is given as y = -(1/m) + d. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation of the line is given as,

y = (1/4)x - 3

The slope of the line is 1/4. Then the slope of the perpendicular line will be - 4. Then the equation of the line is given as,

y = -4x + d

The equation of the perpendicular line will be y = -4x + d. Then the correct option is C.

More about the equation of a perpendicular line link is given below.

https://brainly.com/question/14200719

#SPJ5


A shoe store uses a 38% markup to price their items. The store buys the
shoes from the wholesaler for $52. By how much will they mark up the price?

Answers

Answer:

They will Markup the price by $19.76.

Step-by-step explanation:

Markup percent = 38%

Wholesale Price = $52

Markup price can be calculated by simply multiplying the wholesale price by 38% or 0.38.

so

Markup price = 38% of 52

                      = 38/100 × 52

                       = 0.38 × 52

                       = $19.76

Therefore, they will Markup the price by $19.76.

What shape is this cross-section?

Answers

I’m pretty sure the answer is D :)

Answer:

D

Step-by-step explanation:

What’s the sum of -3a+2 and 5a-3

Answers

Answer:

2a-1

Step-by-step explanation:

Answer:

2a-1

Step-by-step explanation:

you take the -3a and add the 5a, and that gives you 2a. 2-3 is -1.

The organization sent

out 640 invitations to a

fundraiser. Of those

invited 416 attended.

What percent of the

people invited attended

the fundraiser?

Answers

Answer: 65%

Step-by-step explanation:

The organization sent out 640 invitations.

416 out of this 640 attended the fundraiser.

The percentage who attended is:

= 416/ 640

= 0.65

= 65%

The ratio of boys to girls is 3 to 2. If there are 57 boys,how many girls are there ?

Answers

Answer:

There are 38 girls, 57;32

Step-by-step explanation:

57 divided by 3 is equal to 19

19 multiplied by 2 is equal to 38

a) y=(x+4)7-7)
Convert factored form to standard form

Answers

Answer:

[tex]y - 7x = 21[/tex]

Step-by-step explanation:

Given

[tex]y = (x + 4)7 - 7[/tex]

Required

Convert to standard form

[tex]y = (x + 4)7 - 7[/tex]

Start by opening the bracket

[tex]y = x*7 + 4*7 - 7[/tex]

[tex]y = 7x + 4*7 - 7[/tex]

[tex]y = 7x + 28 - 7[/tex]

[tex]y = 7x + 21[/tex]

Subtract 7x from both sides

[tex]y - 7x = 7x - 7x + 21[/tex]

[tex]y - 7x = 21[/tex]

Hence:

The standard form is: [tex]y - 7x = 21[/tex]

Spearhead Toy company hired 70 people this year. They have hired 10% more employees this year than last year. How many employees have been hired this year?

Answers

Answer:

63 employees.

Step-by-step explanation:

Spearhead Toy company hired 70 people this year.They have hired 10% more employees this year than last year.

To find the number of employees highered last year;

110% of employees represent 70

100% of the employees will represent;

Cross-multiplying gives;

[tex]\frac{100 * 70}{110} = 63.6[/tex]

To be realistic, 63 employees were highered last year.

Leroy wrote an expression that is equivalent to (20+10)divided (2•3)

Answers

Answer:

30/6

Step-by-step explanation:

20+10=30

2*3=6

Ms. Gregg spent $14 buying fruit
• Apples cost $2 per pound
• Bananas cost $1 per pound.
• What are some possible amounts of pounds of apples and
bananas that Ms. Gregg could have bought?

Answers

Answer:

Ms. Gregg could buy 4 apples and 6 bananas

Step-by-step explanation:

You can split the money and try to get even on each fruit by, getting 4 apples which would be 8 dollars on 4 apples then the extra money would be left over for the bananas which would be six dollars and since the bananas are only 1 dollar you can buy 6 with the leftover money.

Carl earns $3.25 per hour walking his neighbor’s dogs. He walks them 1/3 of an hour in the morning and 1/2 of an hour in the afternoon.
a. How much time does Carl spend dog walking every day?
b. How much time does Carl spend dog walking in a week?
c. Ten minutes is equal to 1/6 of an hour. How many minutes does Carl work dog walking each week?
d. How much money does Carl earn each week?

Answers

A) is 50 minutes
B) 5.83 hours
C) 350 minutes
D)he would make $18.95 a week

How can you use the coordinates of two points on a line to determine the slope of the line?

Answers

Answer:

you can use the slope intercept formula!

y2-y1/x2-x1

Step-by-step explanation:

lets take an example!

the coordinates of 1 point are (2,4) and the other point is (4,6)

so lets plug in (x1,y1) (y1,y2)y2 is the y intercept of second point so it is 6 minus y1 which is 4.

6-4/x2-x1

lets do same for x!

6-4/4-2

lets solve

2/2

=1

the slope is 1

You can rent a car via two options. Option A charges $20 per day plus $0.10 per mile. Option B charges $0 per day, but $0.50 per mile. How many miles must you drive in one day for option A to be cheaper?

Answers

Answer:

50 miles

Step-by-step explanation:

Step one

given data

let the total charge be y and the number of miles be x

Option A charges $20 per day

plus $0.10 per mile.

y= 20+0.1x---------------1

Option B charges $0 per day,

but $0.50 per mile

y= 0.5x---------------2

equate 1 and 2 we have

20+0.1x=0.5x

20=0.5x-0.1x

20=0.4x

divide both sides by 0.4

x= 20/0.4

x=50 miles

Find AB
D
A
5x B 4x + 3 C
AB

Answers

Answer:

15 units

Step-by-step explanation:

ΔADC is an isosceles triangle because it has 2 equal sides

AB = BC       (DB is median so cuts AC into 2 equal parts)

AB = 5x, BC = 4x + 3

      5x = 4x + 3

5x - 4x = 4x - 4x + 3          (subtracting 4 from both sides)

        x = 3

AB = 5x

     = 5(3)

     = 15 units

Happy to help :)

The length of [tex]AB[/tex] is required.

The length of [tex]AB=15[/tex]

Triangles

[tex]AB=5x[/tex]

[tex]BC=4x+3[/tex]

The given triangle is an isosceles triangle with a line perpendicular to [tex]AC[/tex] passing through [tex]D[/tex].

This means that [tex]AB=BC[/tex]

[tex]5x=4x+3\\\Rightarrow 5x-4x=3\\\Rightarrow x=3[/tex]

[tex]AB=5x=5\times3\\\Rightarrow AB=15\ \text{units}[/tex]

Learn more about triangles:

https://brainly.com/question/1675117

-3/4 times (-12) (this / means a fraction)

Answers

Answer:

9

Step-by-step explanation:

I low key need halp. Very soon, please send halp. :>

Answers

Each flower arrangement will have 5 lillies and 13 roses
Not sure but maybe, 6(5l + 13r)

A seed company planted a floral mosaic of a national flag. The perimeter of the flag is Determine the​ flag's width and length if the length is ft greater than the width.

Answers

Answer:

Step-by-step explanation:

lag is Determine the​ flag's wlag is Determine the​ flag's wlag is Determine the​ flag's w this mena that the wiatgh

Answer:

I need help on this.

Step-by-step explanation:

WHATS THE ANSWER PLEASE HURRY

Answers

Answer:

2.2 * 2.2 = 4.84

4.84 * 6 = 29.04

will mark brainliest! pls help
JKLM, what is the value of M

Answers

A. 65 is the answer for you!

I WILL MARK THE BRAINEST

1.How many exterior angles are there at each vertex of the triangle

2.How many exterior angles does a triangle have in all

Answers

Answer:

blank 1: 2

blank2: 6

hope this helps

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