Find parametric equations for the curve with the given properties.
The line with slope 1/2, passing through (1, -4)

Answers

Answer 1

Answer:

y = 1/2x -9/2

Step-by-step explanation:

y+4 = 1/2(x-1)

y = 1/2x -1/2 - 4

y = 1/2x + (-1-8)/2

y = 1/2x -9/2


Related Questions

The ratio of a model building's dimensions to the building's actual dimensions is 1/20. If the height of the model is 18 inches, what is the height of the actual building in feet?

36 ft
30 ft
38 ft
360 ft

Answers

Answer:

30 ft  

Step-by-step explanation:

18 in=1.5 ft

20*1.5=30

If I save 10$ at the end of every month for 12 years how much will I have ?

Answers

Answer:

1440

Step-by-step explanation:

theres 144 months in 12 years and I just multiplied it by 10

Find the missing side. Round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

1)

Hyp =40

∠48

x = Adj

use CAH since it's got these pieces in it

Cos(48) = x / 40

40* Cos(48) = x

26.76522 = x

x = 26.8  ( rounded to nearest 10th)

2)

∠29

Hyp = 35

Opp = x

use SOH since this problem has those pieces in it

Sin(29) = x / 35

35*Sin(29) = x

16.9683 = x

x = 17.0  (rounded to nearest 10th)

3)

40 = Adj

∠16

Hyp = x

use CAH again

Cos(16) = 40 / x

x = 40 / Cos(16)

x = 41.611

x = 41.6 (rounded to nearest 10th )

4)

∠55

Opp = 35

x = Adj

use TOA

Tan(55) =35/x

x = 35/Tan(55)

x = 24.5072

X = 24.5  ( rounded to nearest 10th)

Entomologists estimate that an average person consumed almost a pound of bug parts each year. There are that many insect eggs, larvae, and miscellaneous body pieces in the food we eat and the liquids we drink. The Food and Drug Administration (FDA) sets a Food Defect Action Level (FDAL) for each product. For example, the legal limit for peanut butter is 30 insect fragments per 100 grams. You just bought the crackers with 25 grams of peanut butter. What is the probability that the snack will include at least 3 crunchy critters

Answers

Answer:

0.9797

Step-by-step explanation:

We have X = number of insects in the 25bgrams of butter

Then the legal limit of concentration in peanut butter = 30 fragments/ 100 grams

Then insect amount in 25 grams =

E(X) = 30/100 x 25

= 0.3 x 25

= 7.5 fragments of insects

Using the poisson function in Excel, the probability of at least 3 crunchy critters

1 - p(X<=2)

p(X<=2) = POISSON (2, 7.5, TRUE) = 0.020156715

1 - 0.020156715

= 0.9797

Find the maximum rate of change of f at the given point and the direction in which it occurs. f(p, q) = 8qe−p + 4pe−q, (0, 0) maximum rate of change $$ Correct: Your answer is correct. direction $$

Answers

Answer:

Step-by-step explanation:

[tex]Given \ f (p,q) = 8qe^{-p} + 4pe^{-q} \ where \ P_o(0,0) \\ \text{thus the gradient of f is: } \\ \\ \bigtriangledown f(p,q) = \Big(\dfrac{\partial f}{\partial p}, \dfrac{\partial f}{\partial q} \Big) \\ \\ \dfrac{\partial f}{\partial p} = -8qe^{-p} + 4pe^{-q} \\ \\ \dfrac{\partial f}{\partial p} = 8qe^{-p} - 4pe^{-q} \\ \\ Then: \bigtriangledown f(p.q) = (-4qe^{-p}+ 8qe^{-q}, 4qe^{-p}- 8qe^{-q}) \\ \\ f(0,0) = (-4*(0)e^{-0}+ 8*(0)e^{-(0)}, 4*(0)e^{-(0)}- 8*(0)e^{-(0)}) \\ \\ = (0+8,4-0) = (8.4)[/tex]

[tex]\Big| \Big | \bigtriangledown f(0,0) = \sqrt{(8)^2+4^2} \\ \\ = \sqrt{64+16} \\ \\ = \sqrt{80}[/tex]

[tex]\mathbf{the \ direction \ of \ maximum \ change \ is }= \mathbf{\sqrt{80}} \\ \\ \mathbf{direction }(8,4)[/tex]

Find the circumference of the circle.

Answers

Answer:

the 3rd one 72.22 is the answer

Answer:

the formula for it is 2*3.14*r

so to get the radius you divide the diameter by two, so 23 divided by 2 is 11.50

so then we do 2*3.14*11.50= 77.22

there u go!

Step-by-step explanation:

help me please anyone here? will mark brainliest of correct but report if nonsense​

Answers

Step-by-step explanation:

1/(1 - p + p²) - 1/(1 + p + p²) - 2p/(1 - p² + p⁴) =

[ (1 + p + p²)-(1 - p + p²)/(1 - p + p²)(1 + p + p²) ] - 2p/(1 - p² + p⁴) =

2p/(1 + p + p² - p - p² - p³ + p² + p³ + p⁴) - 2p/(1 - p² + p⁴) =

2p/(1 + p² + p⁴) - 2p/(1 - p² + p⁴) =

[ 2p(1 - p² + p⁴) - 2p( 1 + p² + p⁴) ]/(1 + p² + p⁴)(1 - p² + p⁴) =

(2p - 2p³ + 2p⁵ - 2p - 2p³- 2p⁵) / (1 - p² + p⁴ + p² - p⁴ + p⁶ + p⁴ - p⁶ + p⁸) =

-4p³ / (1 + p⁴ + p⁸)

what is the slope line ​

Answers

Answer:

In technical terms, the slope of the line is the change in y over the change in x. But I just like to think of it as rise over run. To find the slope of the line, pick two points on the line.

Answer:

Uphill slopes are positive slopes.

The slope will be a positive number like 5 or 2/3.

Downhill slopes are negative slopes.

The slope will be a negative number like -7 or -1/3.

Step-by-step explanation:

HELP PLEASE PLEASEEEEEE

Answers

Answer:

I think the area is 9 ft square

What is the answer for this question? The quotient of r and 6 is equal to 42

Answers

The answer is 7 I hope it helps you My friend have a nice day

the equation y=ax describes the graph of a line if the value of a is negative the line

Answers

Answer:

Goes up and to the left

Step-by-step explanation:

I WILL MARK BRAINLIEST PLEASE ANSWER ( NO LINKS I WILL REPORT YOU IF YOU GIVE ME A LINK)

Answers

Answer: B

Step-by-step explanation:

There are 15 boys and 18 girls in seventh grade. Find the ratio of boys to girls in seventh grade.

Answers

Answer:

15:18

Step-by-step explanation:

Find X please help me with test corrections due midnight tonight!
If HBN is congruent to LYR.

Answers

Answer:

the answer is

x=22..........

whats 2+7 because i really need help

Answers

Answer:

9 LOL-

Step-by-step explanation:

2. A local t-shirt company sold 2000 t-shirts two weeks ago when they charged $10 for each shirt. The following week they sold 1120 t-shirts when they raised the price to $19 per shirt. Assuming that this rate of change continues find the following: a. Find a linear function S(p) that models the number of shirts sold as a function of the price p. b. Explain the meaning of the slope In terms of the problem. c. Predict the number of shirts the store would sell if they charged $25 for each shirt. d. If the store would like to maintain a weekly sales level of 1450 shirts how much should they charge per shirt?

Answers

9514 1404 393

Answer:

  a) S(p) = -97.78p +2977.78

  b) about 98 fewer shirts per week will be sold for each $1 increase in price

  c) 533 shirts per week

  d) $15.63

Step-by-step explanation:

a) You are given two ordered pairs: (p, s) = (10, 2000) and (19, 1120). The two-point form of the equation for a line can be used.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  s = (1120 -2000)/(19 -10)(p -10) +2000

  s = -97.78(p -10) +2000

  S(p) = -97.78p +2977.78

__

b) The slope is shirts/dollar, meaning about 98 fewer shirts will be sold for each dollar increase in price.

__

c) S(25) ≈ 533

At a price of $25, the store would sell about 533 shirts per week.

__

d) 1450 = S(p) = -97.78p +2977.78

  -1527.78 = -97.78p

  15.625 = p ≈ 15.63

The store should charge $15.63 per shirt to maintain sales of 1450 shirts per week.

can someone send me a random receipt you have you gotten recently. it can be anything at all pls​

Answers

is this for fetch rewards

Easter game idea's please!
my neighborhood always throws an Easter egg hunt but this year we wanted to spice things up and add some cool game with cool prizes and snacks! any ideas?? (dont worry we wear mask at the small neighborhood party's we have)

Answers

u guys can make ur own kind of twister, do Marco Polo but the Marco is an Easter bunny, u guys can do a scavenger hunt with different prizes for each person, you can see who can juggle the most eggs

pls help!due very soon.ill pick brainliest for the answer that helps me the most.(I can only pick brainliest if there's two answers)

Answers

1 : 3 because you have to add all the bulbs which equals 60, so it would be 20:60 since 20 is the Daisy bulbs and then you simplify

Find the value of x
(21x - 10)
19xº

Answers

Answer:

0

Step-by-step explanation:

First we move all the terms to the left so it will be 21x-10-(19x)=0 hope I helped good luck

China and the United States are playing each other in the championship match of the 1999 Women's World Cup soccer tournament. Brandi Chastain of the U.S. team is about to take a penalty kick against the Chinese team's goalkeeper, Gao Hong. Chastain will kick the ball from 18 yards away from the goal at 120 miles per hour. How many seconds does the goalkeeper have to react, dive, and reach the ball before it crosses the goal line

Answers

Answer:

The goalkeeper has 0.306 seconds to react, dive, and reach the ball before it crosses the goal line.

Step-by-step explanation:

We use the following relation to solve this question:

[tex]v = \frac{d}{t}[/tex]

In which v is the velocity, d is the distance, and t is the time.

Chastain will kick the ball from 18 yards away from the goal at 120 miles per hour.

Since the velocity is in miles per hour, the distance has to be in yards.

Each yard has 0.000568182 miles, so the ball will be kicked from 18*0.000568182 = 0.0102 miles.

This means that [tex]v = 120, d = 0.0102[/tex]

How many seconds does the goalkeeper have to react, dive, and reach the ball before it crosses the goal line?

We have to find t, first in hours. So

[tex]v = \frac{d}{t}[/tex]

[tex]120 = \frac{0.0102}{t}[/tex]

[tex]120t = 0.0102[/tex]

[tex]t = \frac{0.0102}{120}[/tex]

[tex]t = 0.000085[/tex]

An hour has 3600 seconds. So

3600*0.000085 = 0.306.

The goalkeeper has 0.306 seconds to react, dive, and reach the ball before it crosses the goal line.

(Urgent) Worth 15 points 7.3

Answers

Answer: 20790

Step-by-step explanation:

for many years the number of rainy days in March has been recorded in the towns Riverton and waterview Riverton has a mean of 11 rainy days in march with a standard deviation of three days Waterview has a mean of 13 rainy days in march with a standard deviation of 2 days brainly

Answers

Answer:

peak farther to the RIGHT

peak will be NARROWER

Step-by-step explanation:

hope this helps !! :)

How many more people studied for 0-30 minutes than people who studied for 121-150 minutes?

Answers

Answer:

5 more people studied more in 0-30 minutes than people who studied 121-120 minutes.

Step-by-step explanation:

five more people studied for 30 minutes then 121 minutes

The equation of a line is shown.
6x – 3y = 5
A dilation centered at the origin with a scale factor of 6 is applied to this line.
A. What is the slope of the line after the dilation?
B. What is the value of the y-intercept of the line after the dilation?

Answers

Answer:

my guess would have to be

A. slope= 4      

B. y-intercept= 23/3 or 7  2/3(simplified)

Step-by-step explanation:

im not sure how accurate my answer would be but what i did was put the equation in slope intercept form and added 6 for the dilatation to all factors of the equation.

The slope is 2/3.

The y-intercept is -5/3.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of the line.

6x - 3y = 5

Now,

To apply a dilation with a scale factor of 6 centered at the origin.

We multiply both sides by 6.

So,

6 (6x - 3y) = 6 x 5

Now,

Simplifying.

36x - 18y = 30

Dividing both sides by 18.

2x - y = 30/18

2x - y = 5/3

Now,

Writing in slope-intercept form.

y = mx + c

So,

y = 2x - 5/3

This means,

Slope m = 2

y-intercept c = -5/3

Thus,

The slope is 2/3.

The y-intercept is -5/3.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ6

Is the relationship between the number of days and the number of hours proportional?

Answers

Answer:

yes because no matter what 24 hrs will equal a day

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

what isnithegdierhfdirhfduidhfvuc

Answers

hi, im chelsea. whats your favorite dinner food?

Answer:

it's cuvfhdiudfhridfhreidgehtinsi tahw

Step-by-step explanation:

have a good day

1) You have three- fourths yards of pipe. How many pieces can you cut the pipe into if each piece is one-eighth yard?

Answers

Answer:

Step-by-step explanation:

(3/4)/(1/8)

(3/4)(8/1)

24/4

6 pieces of pipe

A rectangle has an area of (x2 − 17x + 72) square units. Since the area of a rectangle is determined using the formula, A = lw, what could be the length and width of the rectangle?

Answers

A = (x^2 - 17x + 72)

A = (x-9)(x-8)

l is 9 and w is 8

Answer:

b

Step-by-step explanation:

edge

Leon older brother is 4 and 3/4 feet tall Leon is 1/3 foot shorter than his brother how tall is Leon

Answers

Answer:

4 5/12 feet tall

Step-by-step explanation:

All you have to do is subtract 1/3 from 4 and 3/4 in order to get this answer.

Answer:

Leon is 53/12 feet or 4 & 5/12 or 4.4167 (same answer different forms)

Step-by-step explanation:

Leon older brother is 19/4 feet tall or 57/12.

Leon is 1/3 or 4/12 foot shorter than his brother.

57/12-4/12= 53/12

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