Find the equation of the line through point (1,−5) and perpendicular to y=18x+2. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).

Answers

Answer 1

Answer:

y = -1/18x - 89/18

Step-by-step explanation:

Step 1: Find the slope of the perpendicular line

Do this by taking the negative reciprocal of the original line

m = -1/18

Step 2: Find b

y = -1/18x + b

-5 = -1/18(1) + b

-5 = -1/18 + b

b = -89/18

Step 3: Rewrite entire equation

y = -1/18x - 89/18


Related Questions

You are given the sequence of digits "0625", and can insert a decimal point at the beginning, at the end, or at any of the other three positions. Which of these numbers can you not make? 6 25 6 25 5 8 5 8 1 16 1 16 25 4 25 4 25 2 25 2

Answers

Answer:

25/4

Step-by-step explanation:

Because I say so

Find the area of this irregular figure. All angles are right angles. 128 in2 296 in2 256 in2 80 in2

Answers

Answer:

256in²

Step-by-step explanation:

Just add the area the two Rectangals = A=128*2 = 256in² or calclute the whole and deduct the 2 missing sqares 16

384-128=256in²

Please please help guys

Answers

Answer:

234.85

Step-by-step explanation:

This was easy!!!

(The gardener comes 4 times a month... so divide 85.40 by 4 and you will get 21.35. Each time he comes, he gets 21.35 and by the end of the month, he has 85.40. It says he already came 11 times. So 4 + 4 = 8 + another 4 that equals 12. He came only two months and a few weeks. This means multiply 85.40 by 2 so you would get 170.8. It said he came 11 times so substract 11 from 8 and you would get 3. So multiply 21.35 by 3 and get a total of 64.05. Add 170.8 and 64.05 to get 234.85!!! The answer is 234.85 or C!!!!

Answer: C. $234.85

Explanation: $85.40 (how much Katrina pays each time the gardener comes) * 4 (the number of times the gardener comes each month)  = $234.85 (how much the gardener made)

Solving a Story Problem Involving Slope Mary and Julie both have a goal of raising $1000 for charity. Mary raises $12 every 4 days. Julie raises $19 every 6 days. Will Mary or Julie reach her goal first? Explain.

Answers

Answer:

Step-by-step explanation:

Mary would have a rise of 12 and a run of 4, making her slope, or rate of change, $3 a day.

Julie would have a rise of 19 and a slope of 6, making her slope, or rate of change, $3.17 a day.

Since Julie is raising money at a faster rate, she would get to the goal of $1000 first.

Answer:

Mary would have a rise of 12 and a run of 4, making her slope, or rate of change, $3 a day. Julie would have a rise of 19 and a slope of 6, making her slope, or rate of change, $3.17 a day. Since Julie is raising money at a faster rate, she would get to the goal of $1000 first.

brainliest plzzzz

HELPPPPPPPPPPP PLZZZZZZZZZZZZZZZZZZZZ!!!!!!!!!!!!

Answers

Answer:

58

Step-by-step explanation:

First, find the interior angle adjacent to the angle GFD.

180 - (34+24) = 180 - 58 = 122

Now, the exterior angle = 180 - 122 = 58

hope this helps

1/2log25-2log3+log8​

Answers

Answer:

log base 10 of 40/9, log(40/9), or 0.6478

Step-by-step explanation:

Easiest and fastest way to do this is to plug it into the calc because the log base 10 of those numbers given will be nasty decimals.

Find the area of the following shape, given its curves are made from parts of circles with diameters indicated on the diagram. Give your answers in terms of π .

Answers

Answer:  Area = 26π + 20 cm²

Step-by-step explanation:

There are 2 large semicircles = 1 large circle

There are 2 small semicircles = 1 small circle

There is 1 rectangle.

Find the Area of each shape above and then find their sum.

1) Large Circle: A = πr²,    d = 10 --> r = 10/2 = 5

                     A = π(5)²

                        = 25π

2) Small Circle: A = πr² ,    d = 2  --> r = 2/2 = 1

                     A = π(1)²

                        = π

3) Rectangle: A = length × width,     L = 10  w = 2

                      A = 10 × 2

                         = 20

Total = Large + Small + Rectangle

         = 25π   +    π      +  20

         = 26π + 20

I just wanted to say that the person who wrote the actual answer is a life saver and that answer is very correct :)

Simplify: -8y-(x-4x) + 3y

Answers

Answer:

-5y+3x

Step-by-step explanation:

-8y-(x-4x) + 3y

= -5y-(x-4x)

= -5y+3x

Answer: -5y+3x

Step-by-step explanation:

Which undefined geometric term can be described as a one-dimensional set of points that has no beginning or end?

Answers

A line because it continues on forever.

The following table shows the number of medals won in the 2008 Olympics for swimming by the top five countries.
Country
Number of Medals
USA
31
Australia
20
Great Britain
6
China
6
France
6
How many degrees will the Australia section be in a circle graph of this data?
52
20°
29°
104

Answers

Answer:

I believe it is 104 degrees.

Step by Step: First, You add all the medals for all the countries, giving you 69. Then, you make Australia's medals a fraction of 69, so 20/69. After this, since a circle has 360 degrees, you make x/360 and cross multiply. This takes you to 69x=7200. Now divide 7200 by 69, which gets you 104.347, or 104 degrees.

Answer:

104 deg

Step-by-step explanation:

Total number of medals: 31 + 20 + 6 +6 + 6 = 69

Number of Australian medals: 20

Fraction of total medals won by Australia: 20/69

A circle has a total of 360 deg.

Since Australia has 20/69 of the medals, it will have 20/69 of 360 degrees in the circle graph.

20/69 * 360 = 104.3

Answer: 104 deg

PLEASE ANSWER ASAP FOR BRAINLIEST!!!!!!!

Answers

Answer:

2144.66

Step-by-step explanation:

V = 4/3 π r^3

Answer:2144.66

Step-by-step explanation:

formula for volume of a sphere- v=4/3 pi r^3

v=4/3 pi 8^3

V= 4/3 pi 512

v=2048pi

v=2144.66

What is the question?

Answers

Answer:

(23, 4)

Step-by-step explanation:

If we use substitution, we need to rewrite the 2nd equation so we can substitute it into the first.

Step 1: Rewrite 2nd equation

x = 5y + 3

Step 2: Substitution

2(5y + 3) - 5y = 26

Step 3: Distribute

10y + 6 - 5y = 26

Step 4: Combine like terms

5y + 6 = 26

Step 5: Isolate y

5y = 20

y = 4

Step 6: Find x

x - 5(4) = 3

x - 20 = 3

x = 23

And we have our final answer!

Answer:

(23,4)

Step-by-step explanation:

x-5y=3

 +5y=+5y

    x=3+5y

-- Plug that into X for the other Equation

2(3+5y)-5y=26

Solve for y

2(3+5y)-5y=26

Distribute the 2

6+10y-5y=26

Simplify

6+5y=26

-6     =-6

5y=20

(divide by 5)

y=4

plug 4 in the either equation and solve for x

x-5(4)=3

x-20=3

+20=*20

X=23

Let f(x)=5x+2 and g(x)=5x^2+4x. After simplifying, (f⋅g)(x)=______

Answers

Answer: [tex]f(g(x))=25x^{2}+20x+2\\[/tex]

Step-by-step explanation:

(f·g)(x) also means f(g(x)).

So basically what we do is take the function g(x) and plug it into f(x) where ever there is the variable x.

[tex]f(g(x))=5(5x^{2}+4x)+2[/tex]

Now distribute the 5.

[tex]f(g(x))=25x^{2}+20x+2[/tex]

This is as simplified the equation gets as it is not factor-able.

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.7 years, and standard deviation of 1.2 years. The 2% of items with the shortest lifespan will last less than how many years? Give your answer to one decimal p

Answers

Answer: 9.2 years

Step-by-step explanation:

Given the following :

Mean(m) = 11.7 years

Standard deviation (s) = 1.2 years

Recall the z-score formula :

Z = (x - m) / s

We can find the z-score by locating the value of 2% in the negative z-table, then solve for x.

2% = 0.02

0.02 falls most closely to 0.02018whuch is under - 2.05.

Using the z-score value in the formula above :

-2.05 = (x - 11.7) / 1.2

Cross multiply

(-2.05 × 1.2) = x - 11.7

-2.46 = x - 11.7

x = - 2.46 + 11.7

x = 9.24 years

Using the given points, determine the slope.

(8, 1) and (8, -4)

slope = -5
slope = 0
slope is undefined

Answers

Answer:

slope is undefined

Step-by-step explanation:

We can use the slope formula

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

   = (-4 -1)/(8-8)

     = -5/0

We cannot divide by zero so the slope is undefined

Answer:

Slope is undefined .

Step-by-step explanation:

(8, 1) (8, -4)

        y2 - y1

m =   ---------------  

         x2 - x1

           -4 - 1             -5

m =   ---------------  =  ----- -  = 0

            8 - 8             0

which rule would best describes this pattern 8,4,10,6,12,8,14

Answers

Answer:

Subtract 4 and then add 6.

Step-by-step explanation:

8-4=4

4+6=10

10-4=6

6+6=12

12-4=8

8+6=14

The rule for this pattern can be subtracting 4, and then adding 6.

a gram is equevalint to 0.0353 ounces one ounce is how may grams round to the nearest tenth

Answers

Answer:

28.3

Step-by-step explanation:

Since 1 gram = 353/10000 ounces, then to make the right side 1, you must multiply by the reciprocal, or 10000/353 to make it 1. Then you get 10000/353 grams = 1 ounce. Now, we divide and round to the nearest tenth. This is 28.3 grams.

Dylan scored a total of 48 points in the first 4 games of the basketball season. Which equation can be used to find g, the average number of points he scores per game?

Answers

Answer:

g = 48 divided by 4

Step-by-step explanation:

Answer:

g=48/4

Step-by-step explanation:

this thing / mean divided

Given that y varies inversely with x, if x =7 and y = 4, what is y when x = 2?

Answers

Answer:

y = 14

Step-by-step explanation:

y ∝ [tex]\frac{1}{x}[/tex]

=> y = [tex]\frac{k}{x}[/tex]     -------------(1)

Where k is the constant of proportionality

Now,

x = 7, y = 4

Putting in (1)

4 = [tex]\frac{k}{7}[/tex]

So,

=> k = 28

Now y = ? when x = 2

Putting x and k in (i)

y = [tex]\frac{28}{2}[/tex]

y = 14

Answer:

[tex]y=14[/tex]

Step-by-step explanation:

[tex]y \propto 1/x[/tex]

[tex]y=k/x[/tex]

[tex]4=k/7[/tex]

[tex]4 \times 7 = k[/tex]

[tex]28=k[/tex]

[tex]y=28/x[/tex]

[tex]y=28/(2)[/tex]

[tex]y=14[/tex]

30 POINTS! and brainliest if you have the best answer
1. How can you set up a spinner so that an event is likely?
2. How can you set up a spinner so that an event is unlikely?
3. How can you set up a spinner so that an event is impossible?
4. How can you set up a spinner so that an event is certain?

Answers

Answer:

hey guys whats up!

i think your answer is

1. you can spin the spinner a certain way and it is more likely to land on the answer you want or if it has anything to do with colors then make the color you want to take up more space.

2.you can as the other question above states do the opposite.

3.to make an event impossible you can do this:if it is a color leave it out,this means that it will not land on it so it is impossible.

4.to make an event certain you can do the opposite of answer 3

Step-by-step explanation:

hope this helps

thx

pls put brainliest

What is the hire purchase of a stove purchased through 24 monthly
payments of J$2,000 and a deposit of J $950?*

Answers

9514 1404 393

Answer:

  J$48,950

Step-by-step explanation:

The entire purchase price is ...

  24×J$2000 +J$950 = J$48,950

Jeremy wrote this equivalent equation to solve for x: x = negative 11 y minus 140 Which of these equations might have been Jeremy's original equation? Check all that apply. y + 7x = 23 y + 11x = 140 2x – 22y = –140 3x + 33y = –420 x + 140 = –11y

Answers

Answer:

3x+33y= -420

x+140= -11y

Step-by-step explanation:

x= -11y-140

y +7x=23

7x=23-y

x=23/7 - y/7

y+11x=140

11x=140-y

x=140/11 - y/11

2x-22y=-140

2x=-140+22y

x=-140/2+22y/2

x=-70+11y

3x+33y=-420

3x=-420-33y

x=-420/3 - 33y/3

=-140-11y

x=-140-11y

x+140=-11y

x=-11y-140

Answer:

The bottom 2

3x + 33y = –420

x + 140 = –11y

Step-by-step explanation:

Edge 2020

Hey u! I need help simplify this expression

Answers

6x^2
y^3
Hope this helped, correct me if I am wrong
8x :) Dont thank me, just trying to help! xx

if f(x)= x/2-3 and g(x)=4x^2+x-4 find (f+g) (x)

Answers

Answer:

(f+g) (x)=4x^2+3x/2-7

Step-by-step explanation:

f(x)= x/2-3 and g(x)=4x^2+x-4

(f+g) (x)=?

(f+g) (x)=f(x)+g(x)

(f+g) (x)=x/2-3+4x^2+x-4

combining like terms

(f+g) (x)=4x^2+x/2+x-3-4

(f+g) (x)=4x^2+3x/2-7

hope it helps. Brainliest please

liz buys 17 identical tickets for £208.25 estimate the cost of one ticket

Answers

Answer:

£12.25

Step-by-step explanation:

Using unit rate:

[tex]\frac{\text{Price}}{\text{Tickets}}=\frac{208.25}{17}=\frac{208.25/17}{17/17}=\frac{\boxed{12.25}}{1}[/tex]

£12.25 should be the correct answer.

£12.25 just divide 208.25 by 17

► Find the surface area of cylinder whose base diameter is 5cm
and height is 30cm.(pi=22/7)​

Answers

Answer:

510.71 cm^2

Solution,

[tex]diameter = 5 \: cm \\ height = 30 \: cm \\ surface \: area \: of \: cylinder \\ = 2\pi \: r(h + r) \\ = 2 \times \frac{22}{7} \times 2.5(30 + 2.5) \\ = 5 \times \frac{22}{7} \times 32.5 \\ = 510.71 \: {cm}^{2} [/tex]

hope this helps...

Good luck on your assignment...

Answer :

Here,

Diameter = 5cm so, radius = 5/2 = 2.5

Height = 30 cm

Surface area of a cyclinder = 2πr(r+h)

= 2 × 22/7 × 2.5 ( 30 + 2.5 )

= 5  ×  22/7  ×  32.5

= 510.71 cm²

please help, it is maths, brainliest will be given

Answers

Answer:

V = 1330.5 cm³

Step-by-step explanation:

Diameter = 11 cm

Radius = 5.5 cm

Height = 14 cm

Now, The volume:

Volume of Cylinder = [tex]\pi r^2h[/tex]

V = [tex](3.14)(5.5)^2(14)[/tex]

V = [tex](3.14)(30.25)(14)[/tex]

V = 1330.5 cm³

Answer:

1330.5 cm³

Step-by-step explanation:

The volume of a cylinder is equal to πr²h.

Where r is the radius and h is the height.

The diameter is 11 cm, so the radius will be 5.5 cm.

π(5.5)²(14)

π(30.25)(14)

423.5π = 1330.464489

Rounded to 1 decimal place will be 1330.5 cm³.

What is the value of a in the equation 3a+b = 54, when b = 9?
15
18
21
27

Answers

Answer:

15

Step-by-step explanation:

3a+9=54

-9        -9

3a=45

:3     :3

a=15

Answer
15
Step by step explanation
3a + 9 = 54
3a = 54-9
a = 45/3
a = 15
Hope it helped
Put your comments below

The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, … starts with two 1s, and each term afterward is the sum of its two predecessors. Which one of the ten digits is the last to appear in the ones position of a number in the Fibonacci sequence?

Answers

Answer:

6

Step-by-step explanation:

Note that any digits other than the units digit will not affect the answer. So to make computation quicker, we can just look at the Fibonacci sequence in $:

$1,1,2,3,5,8,3,1,4,5,9,4,3,7,0,7,7,4,1,5,6,....$

The last digit to appear in the units position of a number in the Fibonacci sequence is $6.

The last to appear in the ones position of a number in the Fibonacci sequence is [tex]6[/tex].

The Fibonacci sequence [tex]1, 1, 2, 3, 5, 8, 13, 21[/tex], … starts with two 1s, and each term afterward is the sum of its two predecessors.

The next terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946.

Here, it can be seen that [tex]6[/tex] is the last to appear in the ones position of a number in the Fibonacci sequence.

Learn more here:

https://brainly.com/question/13247630?referrer=searchResults

Which fraction is closer to 1 than 0?
3
8
5
10
7
12
6
14

Answers

Answer:

[tex]7/12[/tex]

Step-by-step explanation:

[tex]3/8=0.375[/tex]

[tex]5/10=0.5[/tex]

[tex]7/12 \approx 0.58333333333[/tex]

[tex]6/14 \approx 0.42857142857[/tex]

Therefore, 7/12 is the closest to 1 than 0.

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