What is the equation of a line that is perpendicular to the line y = - 1/2 x + 1 and passes through the point (8, - 1)? A y = −1/2 x + 8 B y = 2x - 17 C y = −1/2 x − 2 D y = 2x - 1

Answers

Answer 1
Answer is B y = 2x - 17

First find the negative reciprocal of the gradient for y = -1/2 x + 1 to find the perpendicular line gradient.

-1/2 = 2

Gradient of perpendicular line = 2

Perpendicular line is y=2x + c

Substitute (8,-1) into the line to find the y-intercept (c).

-1 = 2(8) + c
-1 = 16 + c
c = -17

Therefore, the perpendicular line is y = 2x - 17.

Related Questions

A 24 foot flagpole casts a 20 foot shadow of the building next to it is an 85 foot shadow find the height of the building

Answers

Answer: 102 foot / feet tall

Step-by-step explanation:

First, we have to find the unit rate . . . what is 24 divided by 20 ? 1.2/1

Second, multiply . . . what is 1.2 x 85 ? 102

( sorry if this is wrong - I forgot how to do the second part for a sec )

Alisha has a five–year car loan of $15,000 with an interest rate of 6 percent. If the interest is compounded annually, how much will she pay in total for her car?

Answers

Answer:

$20,073.38

Step-by-step explanation: Step 1: Find the percentage. The formula for annual compound interest is A = P(1 + r)^t, where A = amount (total amount), P = principal (initial amount), r = rate (percentage), and t = time (in years). Our rate is 6%, which is 0.06 in decimal form. Add it to 1. 1 + 0.06 is 1.06.

Step 2: Raise 1.06 to the 5th power. Because we are finding the amount in 5 years, we do that step. 1.06^5 is 1.3382255776.

Step 3: Do not delete the decimal from the calculator. Multiply it by 15,000 to find the total amount. When you do, you get 20,073.383664 or 20,073.38 when rounded to the nearest hundredth.

A town’s population increased from 25200 to 26460. Find the percent of increase.

Answers

Answer:

5%

Step-by-step explanation:

Based on the given conditions, formulate: (26460-25200)÷25200

Calculate the sum or difference: 1260/25200

Cross out the common factor: 1/20

Multiply a number to both the numerator and the denominator: 1/20 * 5/5

Write as a single fraction: 5/20*5

Calculate the product or quotient: 5/100

Rewrite a fraction with denominator equals 100 to a percentage: 5%

2x²+3x-5=0 квадрані рівняння

Answers

Answer:

x = 1

x= -2.5

Step-by-step explanation:

we can use perfect square method quadratic method or solve it using a calculator directly

What is the height of the box?
A. 15 in.
B. 30 in.
C. 50 in.
D. 100 in.

Answers

The answer is d 100 inches

I really need sum help plz

Answers

Answer:

32 Strawberries

Step-by-step explanation:

The amount of strawberries you need for 48 cups of juice is 32

Enter the explicit rule for the geometric sequence ...
60, 12, 12/5, 12/25, 12/125

Answers

Answer:

an = 60 x 1/5^n-1

Step-by-step explanation:

correct me if i am wrong, but I just learned about this stuff so hopefully this helps. The explicit rule/formula is an = a1 x r^n-1. In this formula, a1 is the first term (60), and r is the common ratio (1/5). Now all that is left to do is to write the equation which would be 60 x 1/5^n-1.

×-2+2×+4+2×-2=180 what does x equal in this equation.

Answers

Answer:

x = 36

Here's how I got that:

   - Group like terms -

x - 2 + 2x + 4 + 2x - 2 = 180

                    ↓

      5x - 2 + 4 - 2 = 180

                    ↓

              5x = 180

 - Divide both sides by 5 -

         5x/5 = 180/5

                   ↓

               x = 36

~ That's all folks ~

-Siascon

Find the value of x

SC is the median of QRS

Answers

the correct answer is x=6

PLEASE HELP ME!!!!

Which table represents the increasing linear function with the greatest unit rate?

Answers

Answer:

the answer should be C

Step-by-step explanation:

Hope this helps!

cualquier es la siguiente expresiones equivalentes a(4x-5) (3x+7)

Answers

Answer:

21

Step-by-step explanation:

21jshe 21jjxjdjdbxhxbdhxbdh21

Creo que la respuesta es 12x^2 +13x -35

Write the equation of the line with a slope of 2 and passes throug the point (4, 3).
Answer can be in either slope-intercept
form or point-slope
form

Answers

Answer:

y=2x-5

Step-by-step explanation:

Answer:

y=2x-5

Step-by-step explanation:

y-y1=m(x-x1)

y-3=2(x-4)

y-3=2x-8

y=2x-8+3

y=2x-5

Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.

If you're satisfied with the answer, then please mark me as the Brainliest. Thank you.

Phan fills the tank of her car with gasoline before starting her road trip. The table below shows the amount of gas left in her tank as she drives. Number of Hours vs. Amount Left in Tank Number of Hours Spent Driving (h) 3 5 7 9 Amount of Gas Left in Tank, in gallons (g) 12 8 4 0 Which equation models the amount of gas left in the car as Phan drives, and how many gallons of gasoline does it take to fill her tank? g = 18 â€" 2h; 18 gallons g = 18 â€" 2h; 16 gallons g = 3h 3; 30 gallons g = 3h 3; 12 gallons.

Answers

The equation that models the amount of gas left in the car as Phan drives is [tex](g = 18 - 2h)[/tex] and the total amount of gasoline does it take to fill her tank is 18 gallons.

Given :

The table below shows the amount of gas left in her tank as she drives.Number of Hours Spent Driving (h) 3 5 7 9 Amount of Gas Left in Tank, in gallons (g) 12 8 4 0

The following steps can be used in order to determine the equation that models the amount of gas left in the car as Phan drives and the total amount of gasoline:

Step 1 - The two-point form of the line can be used in order to determine the equation that models the amount of gas left in the car as Phan drives.

[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Step 2 - Now, substitute the value of [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above expression.

[tex]\dfrac{g-12}{h-3}=\dfrac{8-12}{5-3}[/tex]

Step 3 - Simplify the above equation.

[tex]\begin{aligned}\\(g - 12)&=-2(h-3)\\g - 12&=-2h+6\\g &= 18-2h\\\end{aligned}[/tex]

Step 4 - Now, substitute the value of (h = 0) in the above equation.

[tex]g = 18-2(0)\\g = 18 \; {\rm gallons}[/tex]

Therefore, the correct option is A).

For more information, refer to the link given below:

https://brainly.com/question/11897796

Answer:

g = 18 – 2h; 18 gallons

Step-by-step explanation:

The answer above is correct.

Which of the following represents the zeros of f(x) = 6x3 − 31x2 + 4x + 5? (1 point)

Answers

Answer: 5, -1/3 and 1/2

Did this question before and I have many study guide websites

How long does it take him to make $375.25

Answers

where’s the root to the question

Please help me on this it’s due tomorrow:(((

Answers

Answer:

Bro

Step-by-step explanation:

sorry

I cannot do each one. But I can go over how to do them. An explanation is more valuable than an answer

Think of slope as rise over run. How much does the line go up, every time it goes over. Simply find two points that are nice and even on the graph. Then count how much it goes up between these two point, and how much it goes over. Then write as rise over run. If the graph goes up to the right, then it’s positive. If it goes down to the right, then it’s negative

Y intercept is where the graph crosses the y axis. The intercept will be (0, y). It’s just the crossing point

I don’t know what the hell real world interpretation means. U will never use that again :)

For the equation, just put the last two things I went over together. I remember by saying y = move x plus begin. This stands for y=Mx+b
The move is the slope. Put in the fractional slope, which will be either positive or negative. Then write x. Then do the y intercept. Which is how far up or down on the y axis it starts.
For example. The equation for the first one is y=3x+6. It rises 6 for every time it goes over 12, which is simplified to 3/1. And it starts at y=6

Hope that helps. Sorry I won’t do each one

Which expression shows a way to factor 20+24?

Answers

Answer:

20+24= 2(10+12) = 4(5+6)

Those are two ways to factor 20+24.

how to graph equations using x and y intercepts

Answers

Answer:

uhhh maybe ( x + 2 ) = y

Step-by-step explanation:

i dont know im on break and I don forgot how to do this

look at screenshot to see question

Answers

The correct answer is C and m=7

the difference of a number and 7

Answers

Answer:

x-7

Step-by-step explanation:

solve plssssssssssssssssssssssssssssssssssssssssssssss

Answers

If any questions leave a comment

Answer:

[tex]\frac{973}{324} [/tex]

Step-by-step explanation:

[tex] ( - \frac{ 27}{64} - ( - \frac{125}{8} ))\times ( \frac{2}{3} )^{4} [/tex]

[tex] ( - \frac{ 27}{64} + \frac{125}{8} ) \times \frac{16}{81} [/tex]

[tex] \frac{973}{64} \times \frac{16}{81} [/tex]

[tex] \frac{973}{4} \times \frac{1}{81} [/tex]

[tex] \frac{973}{324} [/tex]

can someone help me with this

Answers

Answer: i think you should label it with numbers first

maybe??

Step-by-step explanation:

rút gọn (x-4) (x-3) -x(x+5) +82

Answers

Answer:

-12x + 94

Step-by-step explanation:

Simplify:

[tex]\left(x-4\right)\left(x-3\right)-x\left(x+5\right)+82[/tex]

[tex]=x^2-7x+12-x\left(x+5\right)+82[/tex]

[tex]=x^2-7x+12-x^2-5x+82[/tex]

[tex]=x^2-x^2-7x-5x+12+82[/tex]

[tex]=-7x-5x+12+82[/tex]

[tex]=-7x-5x+94[/tex]

[tex]=-12x+94[/tex]

4. Jeremy is starting a juice-bar business. The cost to start the business is $32,000 and the
monthly costs are $4,000. He has been earning $5,600 every month in revenue. In how many
months will Jeremy's business break-even and earn a profit?

Answers

Answer:

Step-by-step explanation: Ok so the important thing is to figure out how much he makes each month. if he earns 5,600 but the cost are 4,000 he makes 1,600 every month. To figure out how many months it will take we divide 32,000 by 1,600 to get 20. that is when he breaks even, 20 months. To make a profit it will be 21 months.

Kimi and Jordan are each working during the summer to earn money in addition to

their weekly allowance, and they are saving all of their money. Kimi earns $9 per hour

at her job, and her allowance is $8 each week. Jordan earns $7 per hour, and his

allowance is $16 each week.

Answers

Their earnings would be the same after 4 hours

Let the number of hours be x, and the weekly earning be y

So, the given parameters are:

Kimi

Earnings = $9 per hourWeekly allowance = $8

So, the equation for Kimi's weekly earning is:

[tex]y =9x + 8[/tex]

Jordan

Earnings = $7 per hourWeekly allowance = $16

So, the equation for Jordan's weekly earning is:

[tex]y = 7x + 16[/tex]

Equate both equations

[tex]7x + 16 = 9x + 8[/tex]

Collect like terms

[tex]9x - 7x = 16 - 8[/tex]

[tex]2x =8[/tex]

Divide both sides by 2

[tex]x =4[/tex]

Hence, their earnings would be the same after 4 hours

Read more about linear equations at:

https://brainly.com/question/13729904

what is the transformation of f(x)=- (x + 2)2- 4

Answers

Answer: x=0

Step-by-step explanation: f(x)=(x+2)x2-4

                                               0=2x+4-4

                                                0=2x

                                                 2x/2=0

                                                  0/2=0

                                             x=0

If the polynomial
[tex] {x}^{19} + {x}^{17} + {x}^{13} + {x}^{11} + {x}^{7} + {x}^{5} + {x}^{3} [/tex]
is divided by (x² + 1), then the remainder is:
(a) 1
(b) x² + 4
(c) -x
(d) x

Please solve this for me. Spam free answer required. Thank you.​

Answers

Answer:

(C) - x

Step-by-step explanation:

Given polynomial:

x¹⁹ + x¹⁷ + x¹³ + x⁷ + x⁵ + x³

Group as follows:

(x¹⁹ + x¹⁷) + (x¹³ + x¹¹) + (x⁷ + x⁵) + (x³ + x) - x = x¹⁷(x² + 1) + x¹¹(x² + 1) + x¹⁵(x² + 1) + x(x² + 1) - x

As we see all terms have (x² + 1) as factor apart from the last one.

It means the remainder is - x

Correct choice is C

15.
n. F(n)


2. 5

7. 15625

9. 390625

Explicit:
Recursive:

Answers

Answer:

400

Step-by-step explanation:

i think

-4+6p+18+3p=9(p+1)+5

What is the answer?

Answers

Answer:

Step-by-step explanation:

Expand

-4 + 6px + 18 + 3p = 9p + 9 + 5

Simplify

14 + 9p = 9p + 14

Solve

Take away 14 from both sides

9p = 9p

p = p

p = 0

Step-by-step explanation:

as shown in the photo

p equals to p

I giv Brainliest


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

c

Step-by-step explanation:

Answer:

The best answer is option C.

Step-by-step explanation:

Option A is a linear function, Option D is translating the non-linear function 4 units up but nowhere right or left, and I don't know about Option B...

Other Questions
Question 9 of 10 What is the length of DE? a calculus problem that i have no idea what to do please help Tom and Eloise can paint the fence in 8 hours. Eloise and Samuel, working together, can paint the dame fence in no more than 6 hours. Tom and Samuel, together, can paint the same fence in no less than 12 hours. What is the least amount of time in which Tom can paint the fence alone? Pls help meWith the hard math problem You need $145 in cash if you withdraw money from your savings account using the ATM how much will you need to withdraw in order to have at least one $145 based upon how ATMs dispense money? A global resources company uses data-intensive, cloud-based simulation software, but users in remote locations find that the responsiveness is poor due to the amount of data being transferred to and from the cloud. In response, the company decides to deploy multiple instances of the application in locations closer to the end users. Which type of technology is illustrated in this example? internet of things beamforming massive mimo edge computing. 14. An engine is brought into the shop with abackfiring problem. Technician A says thiscan be the result of a cracked distrib-Technician B says this problem canbe the result of a faulty carburetor acceleratorpump. Who is right?problemutor cap.he1.(A) A only.(B) B only.(C) Both A and B.(D) Neither A nor B. DASHHollywood Academy of Arts & SciencesSelect the correct answer. Press the Submit button.Use the image and information you have read to answer.How is the object in this image similar to the AUVdeveloped by engineers at MIT?AThey both cause damage to deep-sea coral reefs.BThey both stay motionless at all times.They both must remain on the bottom of the ocean.D They both squirt jets of water to hold their position.Copyright 2021 Reading Plus LLC. All Rights ReservedPrivacy PolicyType here to searchO HELP PLZ 50 POINTS What code would add a new array item named "home" to the array below?var titles = ["score", "points"];titles.put("home");titles.push("home");titles.set("home");array.push("home"); Ella brought 7 new Christmas cards to add to her card collection this year. the next day she mailed half of her entire collection to her elf family and friends. there are now only 21 cards left. how many cards did Ella start with? what can I write for topics on a " me gusta no me gusta " project conversations ? :0tytysm happy holidays !! ( look at the points ) a token economy represents an application of the principles of NO LINKSSelect the correct answer.In which situation is chemical energy being converted to another form of energy?A. a lamp plugged into the electric gridB. a fluttering flagC. a floating wooden logD. a burning candle It takes about 4.4 Newtons to lift 1 pound.How many Newtons would it take to lift 2 pounds? Given the following polynomialsx = (a + b + c)^2y= a^2 + b^ 2 + C^2z = ab + bc + ac Which identity is true?A. x=y-z B. x=y+z C. x=y-2zD. x=y+2z Which three statements about the gilded age are true. The spring constant of Spring A is twice as great as the spring constant of Spring B. Both springs are stretched the same amount. How does theforce the Spring A applies compare to the force Spring B applies? What does Danforth tell Proctor concerning his wife? If AB is parallel to CD and the slope of AB is -3, what is the slope of CD What event will produce the greatest increase in the gravitational force between the two masses?Question 5 options:Doubling the distance between the massesReducing the small mass by halfDoubling the large massReducing the distance between the masses by half