What is the equation of the line that passes through (2, -1) and is perpendicular to the line 1 whose equation is y=-1/2
x+4?

Answers

Answer 1

Answer:

Step-by-step explanation:

The point-slope form of the equation of a line is:

[tex]y-y_1=m(x-x_1)[/tex]

So, the equation for this problem, let

[tex](x_1,y_1)=(2,-1)[/tex]

then,

[tex]y-(-1)=m(x-2)\\y+1=m(x-2)[/tex]

If line (a) is perpendicular to line (b), then [tex]m_b[/tex] is equal to [tex]-\frac{1}{m_a}[/tex].  For this problem, let

[tex]m_a=-\frac{1}{2}[/tex] and [tex]m_b=2[/tex]

So,

[tex]y+1=(2)(x-2)\\y+1=2x-4\\(y+1)-1=(2x-4)-1\\y=2x-5[/tex]


Related Questions

What does the constant term in the above expression represent? A. The constant -10 represents the cost of setting up the food stall even if no cheeseburgers were sold. B. The constant -10 represents the maximum number of cheeseburgers sold by the food stall at the funfair. C. The constant -10 represents the total money earned by setting up the food stall. D. The constant -10 represents the cost of each cheeseburger at the food stall.

Answers

Answer:

In the expression [tex]\dfrac{60 \cdot x}{x + 3} -10[/tex] what the constant term -10 represents is;

A. The constant -10 represents the cost of setting up the food stall even if no cheeseburgers were sold

Step-by-step explanation:

Whereby the expression is as given in a similar question which is presented as follows;

[tex]\dfrac{60 \cdot x}{x + 3} -10[/tex]

Where the expression represents the total money earned when a food stall is set up at a fair where 'x' stands for the number of cheeseburgers sold

Then when no cheeseburger were sold, x = 0, such at the start just after setting up the food stall,  we then have;

[tex]\dfrac{60 \times 0}{0 + 3} -10 = -10[/tex]

Therefore, the money earned at the start = -10

∴ The money spent at the start = 10

Therefore, the constant -10 represents the cost of setting up the food stall even if no cheeseburgers were sold.

find the inverse of h(x)= -x^5+2 step by step

Answers

Hi there!

[tex]\large\boxed{y = \sqrt[5]{-(x-2)}}[/tex]

[tex]h(x) = -x^{5} + 2[/tex]

Rewrite h(x) as y:

[tex]y = -x^5 + 2[/tex]

Switch the x and y variables:

[tex]x = -y^{5} + 2[/tex]

Isolate y by subtracting 2 from both sides:

[tex]x - 2 = -y^5[/tex]

Multiply both sides by -1:

[tex]-(x-2) = y^5[/tex]

Take the 5th root of both sides:

[tex]y = \sqrt[5]{-(x-2)}[/tex]

2/3 x 9 in simplest form

Answers

Answer:

The answer is 6

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

[tex] \frac{2}{3} \times 9 = 2 \times 3 = 6[/tex]

The numbers 3 and 9 are divisible by 3

hope it helps

have a nice day

When looking for a job micah is told that the monthly salary has a range of 876 he also knows that the starting salary is 1,793 per month what is the maximum amount of money that micah can earn in this position?

Answers

Answer:

2669

Step-by-step explanation:

Given that :

Salary range = 876

Starting salary = 1793 monthly

The starting salary represents the minimum amount Micah can earn monthly

Therefore, the amount of money much can earn can be calculated thus :

Recall :

Range = maximum - minimum

876 = maximum - 1793

876 + 1793 = maximum

Maximum = 2669

Hence, the maximum salary Micha can earn is 2669 monthly

Distribute and combine like terms: 8(1 + 6 p)

Answers

Answer:

8 + 48p

Step-by-step explanation:

what is the combined length of 5/8

Answers

5/8 + 5/8 + 5/8 = 15/8 = 1 7/8 inches.

the second part is thiss

Answers

Step-by-step explanation:

Question b has already been answered in part one. This is an exponential function.

C) 7 is the initial number of people who received the email;

7*2^n is the number of people who receive the email on day n;

2 is the factor of which the number of people increases each day.

D) On day 5,

[tex] {2}^{5} \times 7 = 32 \times 7 =224[/tex]

people will have received the email.

E) 2; 0 (no people has received the email on day 0). The equation is

[tex]y = {2}^{x} \times 7[/tex]

With x in the natural numbers

Find the missing length of the right triangle.

Answers

20, because by using Pythagorean theorem, a2+b2=c2. Let’s make a=12 and b=16. (12)2 + (16)2 =c2. If you simplify this, 144 + 256 = c2. 144 + 256 = 400, so 400=c2. Finally if we take the square root of both sides, c=20.

I need this question as soon as possible. Can u please explain the answer to

Answers

Answer:

area = 8(x + 6)

The distributive property says that the x must be added to the 6 before it is multiplied by the 8

Answer: 8(x+6)

Step-by-step explanation:

the distributive property is where you use the form

a(b+c) and area is b*h or l*w and

here 8=h   x+6=b so the equation is 8(x+6)

Hope this helps!

help plz look at the image to answer to all 10 questions no links plz

Answers

Answer:

2 4 6 8 12 14 16 18 20

Step-by-step explanation:

Answer:2 4 6 8 10 12 14 16 18 20

Step-by-step explanation: just add them or count by 2

I really need help with this. Can you help me please?

Answers

Answer:

Solve the equation using the method of completing the square.

Step-by-step explanation:

An engineer wants to determine how the weight of a​ gas-powered car,​ x, affects gas​ mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts​ (a) through​ (d) below. Weight (pounds), x Miles per Gallon, y 3773 17 3793 16 2706 25 3645 20 3308 22 2908 24 3675 17 2687 24 3522 18 3827 16 a) Find the​ least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable y= x+( ) A certain​ gas-powered car weighs 3511 pounds and gets 18 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this​ weight? ​The estimated average miles per gallon for cars of this weight is ( ) miles per gallon. The miles per gallon of this car is average for cars of this weight.

Answers

Answer:

y= 0.007x- 4.945

The estimated average miles per gallon for cars of this weight is (20.829 or 21 ) miles per gallon.

The miles per gallon of this car below (18 < 20.829) the average for cars of this weight.

Step-by-step explanation:

Weight                   Miles              

(pounds), x    per Gallon,   y             xy

3773                       17                     64,141

3793                       16                     60,688    

2706                      25                    67,650

3645                       20                  72,900

3308                         22                 72,776

2908                        24                   69,792

3675                         17                    62,745  

2687                        24                   64,488

3522                        18                     63,396

3827                        16                      61,232

∑y²=4075; ∑y=199;    ∑x²= 116,406,174 ; ∑x=33,844 ;  ∑xy=659,808

b= n∑XY - (∑X)(∑Y)/ n∑X² - (∑X)²

b=(10) (659,808) - (33,844)(199)/ 10 (116,406,174) - 1,145,416,336

b=6,598,080- 6,734,956/ 1,164,061,740 -1,145,416,336

b=136,876/18,645,404

b= 0.007341

a= Y`- bX`

a= 19.9- (0.007341) (3384.4)

a= 19.9 -24.845

a=-4.945

Y^= -4.945+ ( 0.007341) X

y= 0.007x- 4.945

Putting the values

y= 0.007x- 4.945

18 = 0.007(3511) - 4.945

18< 20.829

​The estimated average miles per gallon for cars of this weight is (20.829 or 21 ) miles per gallon.

The miles per gallon of this car below (18 < 20.829) the average for cars of this weight.

if the four shaded triangles in the figure are congruent right triangles, does the inner quadrilateral have to be a square? explain how you know

Answers

Answer:

love

Step-by-step explanation:

you

Please help I will give u brainlest pleaseee and thank you ❤️

Answers

Answer:

I think:

A),C),and D

Step-by-step explanation:

Using the formula,( h= 138÷46),and using times after that.

Hope this helps! Have a good day/or night!

P.S: Sorry if I'm wrong I tried my best. Best wishes!!!

Answer:

D, E

h - 46 > 138

  +46    +46

–––––––––––

       h>184

Step-by-step explanation:

:))

A) If 4 farmers can plow a 3-hectare land in 6 days, how long will 8
farmers do it?​

Answers

Answer:

I believe that It will take 3 days if 8 farmers will plow 3-hectare land.

Step-by-step explanation:

The work doubled so days will be less in a half.

I guess if 4 can finish it in 3 days then 8 will finish in half the time they took so I think they will finish in a day and a half

Choose the equation below that matches the word sentence: "3 increased
by x is 9."
A.3x = 9
B.3/x = 9
C.3 + x = 9
D.3 - x= 9

Answers

Step-by-step explanation:

32 9655 9655 + 965 + 965 + 965 + 982

PLEASE HELP ME I WILL MARK BRAINLIEST (ITS DUE IN A HOUR)

Answers

Answer:

the equation is 9.75c=20.75

then the amount is 2.13

Step-by-step explanation:

Answer: c - 9.75 = 20.75

  flip it   20.75 - 9.75 = c

             -  9.75

        ____________

                11.00

C = 11.00

Workers mixed 7 gallons of blue paint, 4 gallons of yellow paint, and 1 gallon of white paint to make a special shade of paint . They will use a total of 108 gallons of this mixture to paint the offices in a building .Based on this information, complete the following statements.

They will use _______times as much yellow paint as white paint.

They will use a total of _______gallons of blue and yellow paint.

They will use _________more gallons of blue paint than of white paint.

Answers

Answer:

What’s the answer

Step-by-step explanation:

The data set shows the numbers of miles Ms.Franklin drove on five days. answer choices are in the picture ( please no files or links just the answer)​

Answers

Please include the data set so we can answer to question.

I need help!! Bill will spend at most $29 on gifts. So far, he has spent $13. What are the possible additional amounts he will spend? 

Answers

Answer:

$ is less than or equal to $16

Step-by-step explanation:

(y+7) what does that equal

Answers

You don’t know because y isn’t an actually number unless you know what it’s supposed to equal. For example, if y=18, y+7 would be 25 but since you don’t know what y is, it’s undefined.
(y+7) is undefined and cannot rlly be added together since y isn’t really a number. Remove the parenthesis and ur answer is simply : y+7

What is the area of the base ? / / / / /

Answers

Answer:

area of base = 20 in²

Step-by-step explanation:

area of base = 2 x 10 = 20 in²

Suppose $67,050 is divided into two bank accounts. One account pays 6% simple interest per year and the other pays 1%. After seven years there is a total of $15,000 in interest between the two accounts. How much was invested into the bank account that pays 1% simple interest. (Rounded to the nearest cent)?
A. $55,455.56
B. $44,451.55
C. $37,602.90
D. $29,447.10

Answers

Step-by-step explanation:

i think the answer is C

Someone help me please extra points & brainlest!

Answers

Answer:

my best bet is d

Step-by-step explanation:

tell me if im wrong

Answer:

7x-11

Step-by-step explanation:

remove parentheses

4x-7+3x-4

group like terms

4x+3x-7-4

add similar elements

7x-7-4

then solve

7x-11


Question 2
Use pythagroean theorem to find the value of the missing side. Leave answers in simplest radical form.

Answers

Answer:

C

Step-by-step explanation:

a^2 + 49 = 169

     -49          - 49

        a^2 = 120

√120 = 2√30

Freddy pays $840 per year in
insurance.
How much should he budget
monthly for it?
A) $70
B) $92
C) $140
D) $142

Answers

A)70
Because in 1 year we have 12 months so we divide 840 with 12 we get 70

find the area of the shape​

Answers

Answer:

Step-by-step explanation:

Answer:

=> 1/4  * [tex]\pi r^{2}[/tex]

=> 1/4 * 3.14 * 4

=> 3.14

Answer = 3.14

Please mark my answer as the brainliest for further answers :)

BRAINIEST TO WHOEVER IS RIGHT

Answers

Answer:

Least= -6

Middle= -3

Greatest= -2

15 POINTS!

1. You throw a ball through a hoop once 8 tries. How many balls can you predict you will throw the hoop 56 tries?


2. You Flip A fair coin 16 times. How many times can you expect the coin to come up tails?


3. You Hit A Ball 90% of the time. Predict how many times you will hit the ball in 200 times

Do The One that you want

Answers

Answer:

Step-by-step explanation:

1. 56/8= 7 = Amount of tries

2. 16/2= 8 = Coin to come up tails  (It's a 50/50)

3. I'll skip this one.

1. 7 because 56/8=7
2. 8 because 16/2=7
3. 180 because 90/100= x/200 so you multiply 200x90 then divide by 100

what is the median and mode for the numbers 40, 28, 24, 37, 43, 26, 30, 36

Answers

Answer:

Median

Assending order =24,26,28,30,36,37,40,43

It is even no of obs

Therefore the two middle obs are 30,36

Therefore median 30+36/2

Therefore median 66/2

Therefore median is 33

There is no mode in the following obs

If you are helped with my answer pls tag me brianliest I really want it

THANK YOU.......

The median of the numbers is M = 33 and the mode is not defined

What is Median?

The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points

Arrange the data points from smallest to largest.

If the number of data points is odd, the median is the middle data point in the list.

If the number of data points is even, the median is the average of the two middle data points in the list.

Given data ,

Let the set of numbers be represented as set A

Now , the value of A is

A = { 40, 28, 24, 37, 43, 26, 30, 36 }

Arranging the numbers in the ascending order , we get

A = { 24 , 26 , 28 , 30 , 36 , 37 , 40 , 43 }

Now , the total number of elements in the set A = 8

So , the median is the average of the two middle data points in the list.

M = ( 30 + 36 ) / 2

M = 33

The mode of the numbers is the numbers that appears the most often

So , mode is not defined

Hence , the median is M = 33

To learn more about median click :

https://brainly.com/question/28687994

#SPJ2

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