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

Simplify 4 1/3 times 4 1/5

Answers

Answer:

Exact Form:

91 / 5

Decimal Form:

18.2

Mixed Number Form:

18 1/5

what is
2 1
_ + _ =
5 4

Answers

Answer:

3       1

–  = ——

9       3

Step-by-step explanation:

I simplified it as well.

Gwen borrows $300 from her parents to buy a bike. She agrees to pay them back with 3% simple interest every month for one year. What is the total amount of money Gwen will owe her parents? *
Just enter the numerical portion of your answer - no dollar signs or change needed!

Answers

Answer:

309.12

Step-by-step explanation:

A = total amount

P = principal

r = interest rate

n = number of times interest is compounded

t = time (in years

A = P(1 + [tex]\frac{r}{n}[/tex])^nt

A = 300(1 + [tex]\frac{.03}{12}[/tex])^12 · 1

A = 300(1.0304)

A = 309.12

Answer:

408

Step-by-step explanation:

6. A bicycle store costs $2200 per month to operate. The store pays an average of $60
per bike. The average selling price of each bicycle is $80. How many bicycles must the
store sell each month to break even?

Answers

they would need to sell at least 27 bikes

A number cube is rolled 360 times and the results are recorded as follows: 52 ones, 59 twos, 67 threes, 73 fours, 42 fives, and 67 sixes. What is the experimental probability of rolling a two or a three?

Answers

Answer:

0.35

Step-by-step explanation:

Total rolled = 360 times

Two rolled = 59

Three rolled = 67

Two rolled probability = 59/360 = 0.164

Three rolled probability = 67/360 = 0.186

The experimental probability of rolling a two or a three

==> Two rolled probability + Three rolled probability

==> 0.164 + 0.186

==> 0.35

The library has 65400 art books and 9600 science books. What part of all the books are science books

Answers

Answer:

9,600/75,000, 16/125

Step-by-step explanation:

art+science=75000

9600

75000    =16/125

The part of all the books that are science books is 0.128 or 16/125.

Using this formula

Science books=Science books(Art books+Science books)

Where:

Science books=9600

Art books=65400

Let plug in the formula

Science books=9600/(65400+9600)

Science books=9600/75000

Science books=0.128 or 16/125

Inconclusion the part of all the books that are science books is 0.128 or 16/125.

Learn more about part of books that are science here:https://brainly.com/question/8513862

Solve the inequality and enter your solution as an inequality comparing a variable to a number x+9>13

Answers

Answer:

x>4

Step-by-step explanation:

Step 1: Subtract 9 from both sides.

x+9−9>13−9

x>4

Raphael purchases a new DVD at M-Mart. He
pays 8% in tax on the cost of the DVD. If the tax
amount is $1.20, how much does Raphael
spend on the DVD, including tax?

Answers

Answer:

The amount Raphael spend on DVD including tax is $16.2

Step-by-step explanation:

Tax on DVD = 8%

Amount of tax = $1.20

We need to find the amount Raphael spend on DVD including tax.

Let the cost of DVD = x

We can write the equation: [tex]8\%\:of\:x=1.20[/tex]

Because the tax amount is 8% of actual cost and is equal to 1.20

Now solving to find x:

[tex]8\%\:of\:x=1.20\\8\%\times\:x=1.20\\\frac{8}{100}\times x=1.20 \\x=1.20 \times \frac{100}{8}\\x= 15[/tex]

So, the cost of DVD = $15

Now, The amount Raphael spend on DVD including tax = Cost of DVD + Tax

The amount Raphael spend on DVD including tax = 15 + 1.2

                                                                                    = 16.2

So, The amount Raphael spend on DVD including tax is $16.2

Plzzz someone help meeee!!!! :(

Answers

Answer:

5 feet

Step-by-step explanation:

The rose garden is trianglar and so the total of the two shorter sides need to equal more than the longest side. In this case 4+x=9. 6,7, and 8 all meet these requirments but 4+5 is 9, 9=9 which means 5 feet cannot be used

I need help with A and B

Answers

Answer:

a cube and a square-faced pyramid

A baker made 9 cupcakes, each a different type. Four people want to share them equally. How many cupcakes will each person get? DIvide and use in fraction form.

Answers

Answer: 2 1/4

Step-by-step explanation:

From the question, we are informed that a baker made 9 cupcakes which are to be shared equally by four people.

To get the number of cupcakes that each person gets, we divide the total number of cupcakes by the total number of people. This would be:

= 9 ÷ 4

= 2 1/4 cupcakes

Therefore, each person gets 2 1/4 cupcakes.

If f(n)= n2. n, then f(-4) is?

Answers

Answer:

f(-4) = 16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(n) = n²

f(-4) is n = -4

Step 2: Evaluate

Substitute:                    f(-4) = (-4)²Exponents:                   f(-4) = 16

For triangles Y Z X and C D B, sides Y Z, Z X, C D, and B D are 2.5 centimeters. Sides B C and Y X are 3.8 centimeters. Angles B, C, Y, X are 36 degrees. Angles Z and D are 108 degrees.
Which of the following congruency statements is correct?
ΔYZX ≅ ΔBCD
ΔYZX ≅ ΔDCB
ΔZXY ≅ ΔDCB
ΔYXZ ≅ ΔCDB

Answers

Answer:

the answer is C

Step-by-step explanation:

edge 2021

Answer:

ΔZXY ≅ ΔDCB

Step-by-step explanation:

Twelve minutes after he starts downloading a file, Mario looks at his computer and sees this image. About how long will it take to download the entire file?

Answers

File = f. Imagen complete = i
f + 12 = i

2. A pair of Jordans sold at retail for $180 and now sell for $330 after market.
A. Is this a percent INCREASE or DECREASE?
B. What is the PERCENT change?

Answers

Answer:

Um increase and the percentage change is 150

Step-by-step explanation:

please help its algebra 1

Answers

Answer: She can take 25 students.

Step-by-step explanation:

If she has 150 dollars and the bus costs 100, and she only charges 2 dollars each, then 50 divided by 2 equals 25

Answer:

I think 25 students

Step-by-step explanation:

Her budget is $150 .She is already paying $100 for the bus so you have $50 dollars now.If each student is charged $2 all you have to do is divide $50 by 2 and that gets you 25.So 25 students.Hope this helped =)

To rent a certain meeting room, a college charges a reservation fee of $34 and an additional fee of $9.30 per hour. The math club wants to spend less than $99.10 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for t.

Answers

Answer:

9 hours.

Step-by-step explanation:

31 + 5.9*t < 84.10.

To solve it, collect the constant terms on the right side:

5.9*t < 84.10 - 31 = 53.10,

Hence, t < 53.10%2F5.9 = 9 hours.

Answer:

7 hours

Step-by-step explanation:

99.10-34=65.1

65.1 divide by 9.30=7

Hope this helps!!

CAN SOMEONE PLEASE HELP ME !!

Answers

With what number? With all? And why 5. It’s small for this difficult task.

Find the slope of line that passes through the points ( 0,5) and ( 2,2)

Answers

Answer:

m= -3/2

Step-by-step explanation:

ABCD is a parallelogram with coordinates A(4, 2), B(3, −1), C(−1, −1), and D(−1, 2). To prove that ABCD is a parallelogram, you would find which of the following?
A measures of the angles
B slopes of the diagonals
C lengths of the diagonals
D slopes of the sides

Answers

The answer is A im pretty sure

Simplify: 3x + 4y + 7x - 2y

Answers

Answer:

10x+2y

Step-by-step explanation:

combine like terms

Answer:

Step-by-step explanation:

3x + 4y + 7x - 2y=3x + 7x +4y - 2y

10x + 2y

What are the order of operations

Answers

Answer:

PEMDAS

Step-by-step explanation:

1) Parentheses

2) exponents

3) multiplication

4) division

5) addition

and finally 6) subtraction

PEMDAS
Parentheses
Exponents
Multiplication or division (do left to right)
Addition or subtraction (left to right)

Or BIDMAS which is
Brackets
Indices
Division and multiplication
Addition and subtraction
Good luck!

4.
One-third of Olivia's age, increased by 12, is equal to twice her age, decreased by 3. How old is Olivia?

Answers

Answer:

19?

Step-by-step explanation:

maybe i got it right

Would the answer be 8?

Answers

Answer:

Step-by-step explanation:

yes i think so because from point d to point s it’s 4 and then from a to l it’s the same length so i do think it would be 8. 4+4 is 8

Half the area of the rectangle shown is 24 inches. Write and solve an equation to find the value of 'x'

Answers

Answer:

The answer will b 4

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

M<2=x+88 can you please tell me the answer for this

Answers

Answer:

Answer: A) -8

Step-by-step explanation:

The image shows the triangle where it can be noted that two of its sides are congruent (according to the tick marks). This forms an isosceles triangle that also has two congruent angles as shown in the image below.

The other angle (2) has a measure of x+88.

The sum of the internal angles of the triangle must be 180°, thus:

x + 88 + 50 + 50 = 180

Simplifying:

x + 188 = 180

x = 180 - 188 = -8

x = -8

Answer: A) -8


2 + (-10) =
HELP ME PLEASE T^T

Answers

Answer:

The answer would be 8

Step-by-step explanation:

This equals 10-2=8

Answer:

-8

Step-by-step explanation:

If you subtract 10 from 2 you get 8 and since the negative number is greater than the positive number it would be -8

What do I have to multiply 5/6 by to get an equivalent fraction

Answers

Times 5 because that’s will be 30/30

Answer:

you multiply 5/6 5 times to git 4

Step-by-step explanation:

my classmate is unsure about how to use side lengths to determine the type of triangle. How would i explain this to my classmate

Answers

equilateral triangles are made of all even sides with a angle of 60 degrees

isosceles triangle has two of the same sides and ond different side

scalene triangles have all different sides

brainiest please

Standard Form: 3x+4y=−16

Answers

Answer:

i know the answer

Step-by-step explanation:

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