what is the equation of aline that passes through the point (4,-8) and has a slope of -1/2?

Answers

Answer 1

Answer:

The equation of the line will be:

[tex]y=-\frac{1}{2}x-6[/tex]

Step-by-step explanation:

Given

slope = m = -1/2point (4, -8)

Point slope form:

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

substituting the values m = -1/2 and the point (4,-8)

[tex]y-\left(-8\right)=\frac{-1}{2}\left(x-4\right)[/tex]

[tex]y+8=\frac{-1}{2}\left(x-4\right)[/tex]

subtract 8 from both sides

[tex]y+8-8=\frac{-1}{2}\left(x-4\right)-8[/tex]

[tex]y=-\frac{1}{2}x-6[/tex]

Therefore, the equation of the line will be:

[tex]y=-\frac{1}{2}x-6[/tex]


Related Questions

Which is a simplified form of the expression -6a + 2(2a + 2)?
A. -2a + 4
B. -2a – 4
C. 2a + 4
D. 2a – 4

Answers

Answer:

A.

Step-by-step explanation:

We have the expression:

[tex]-6a+2(2a+2)[/tex]

First, let’s distribute the 2 on the right:

[tex]=-6a+2(2a)+2(2)[/tex]

Multiply:

[tex]=-6a+4a+4[/tex]

Now, combine like terms:

[tex]=-2a+4[/tex]

Hence, our answer is A.

Answer:

a

Step-by-step explanation:

Solve the equation for m. 7(m+5)=21 m = -2 m = 2 = m= 9​

Answers

Answer:

I'm thinking it's 9

Step-by-step explanation:

what is the slopeof the function x=(-4) y=(-2)

Answers

Answer: The answer is -4. Hope this helps!

Can you help me please and thank you

Answers

Answer:

I believe the answers in the blank should be 4

Step-by-step explanation:

Answer:

= (4 x 5) + (4 x 2)

Step-by-step explanation:

remember to multiply first, before doing the addition. in this case, multiply 4 by 5, then 4 by 2 to get your answer using distributive property. i always remember the distributive process because if you take off a few letters, it makes distribute. you basically distribute 4, you give each number (5 and 2) a 4 and multiply them. hope this made sense lol

How much does a 6-ounce apple weigh in grams?

I'll give brainiest

Answers

Answer:

169

Step-by-step explanation:

I need an answer quick. I am trying to finish this fast.

Answers

Answer:

D, m<4 is 137°

Step-by-step explanation:

The answer would be D, because m<4 would be supplementary with the angle that's 43 degrees. Supplementary angles add up to 180, so this could be found through the following equation.

x + 43 = 180

x would represent <4

You would now subtract 43 from both sides.

x = 137

Answer:

D. The m<4 is 137°

Step-by-step explanation:

The rest of the angles are not correct because if you add 142+56 (adjacent angles) or the unknown angles (angle 1 + angle 2), it doesn't equal 180. You can picture it as angle 3 and its adjacent angle (56°) equal to 180 sience there sharing one straight line thus being 180°

Solve these inequalities:
7x-1<26-2x
please help me with this one guys ;-;

Answers

Answer:  inequality form x < 3    interval form: ( -∞, 3)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Solve for x: (5 points)

negative 4 over 3, multiplied by x minus 6 equals negative 26

a
−27

b
−15

c
15

d
27

Answers

Answer:

the problem is like that or is showing u how are the equations ?

Fill in the table using this function rule.
y=-3x + 5

Answers

Answer:

y=-3(-4)+5,,,, you get y=12+5  y=17

y=-3(-2)+5,,,, you get y=6+5  y=11

y=-3(0)+5,,,, you get y=0+5  y=5

y=-3(2)+5,,,, you get y=-6+5 y=-1

Step-by-step explanation:

hope it helps:)

A shelf holds 12 books in a row. How many ways are there to choose five books so that no two adjacent books are chosen

Answers

Answer:

792 ways

Step-by-step explanation:

We can solve this using the combination formular

[tex]nCr= \frac{n!}{r!(n-r)!}[/tex] where n represents the total number of objects/items, and r represents the number of items being chosen at a time.

Hence, in this case, n =  12, r = 5, which is = [tex]nCr= \frac{12!}{5!(12-5)!}[/tex] = 792.

Therefore, there are 792 ways to choose five books so that no two adjacent books are chosen.

20 points.Cynthia has a bag of jellybeans. There are two red jellybeans, one yellow jellybean, and two black jellybeans in her bag. Cynthia grabs two jellybeans and gives them to her friend, Pedro, and he eats them. What is the probability that she gives him two red jellybeans?

Answers

Answer:

1/10

Step-by-step explanation:

Cynthia has a bag of jellybeans.

There are two red jellybeans, one yellow jellybean, and two black jellybeans in her bag.

total no. of red jellybeans = 2

total no. of jellybeans = 20

Now,

2 ÷ 20 = 1/10

Thus, The probability that she gives him two red jellybeans is 1/10

Answer:

D. This is a dependent event because Pedro ate the jellybeans, and they cannot be replaced.

Step-by-step explanation:

Pretty much, dependent means it can’t be replaced and independent means it can be replaced.

5. Identify the type and subtype of each of the fol-

lowing problems.

a. Shawn has 15 marbles, which is 7 more mar-

bles than Kyle has. How many marbles does

Kyle have?

b. Tiffany has 12 blocks, 5 of which are cubes

and the rest cylinders. How many blocks are

cylinders?

c. Peter had some carrots. After he ate 3 of

them, he had 14 carrots left. How many car-

rots did Peter have before?

d. In a bag of 17 marbles, 9 marbles belong to

Kelly and the rest belong to Shauntay. How

many marbles belong to Shauntay?

Answers

Answer:

a) Kylie has 8 marbles

b) 7 Cylinders

c) 17 carrots

d) 8 marbles belong to Shauntay

Step-by-step explanation:

5. Identify the type and subtype of each of the fol-

lowing problems.

a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?

Shawn = 15 marbles

S = K + 7

15 = K + 7

K = 15 - 7

K = 8 marbles

Kylie has 8 marbles

b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?

T = 12 blocks

Cubes = 5

Cylinders = the rest

12 blocks = Cubes + Cylinders

Cylinders = 12 - Cubes

Cylinders = 12 - 5

Cylinder = 7

c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?

Number of carrots Peter has before

= Number of carrots he ate + Number of carrots he has now

= 14 + 3

= 17 carrots

d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?

Total number of Marbles = 17

Kelly = 9 marbles

Shauntay = ?

Total = Kelly + Shauntay

Shauntay = Total - Kelly's marbles

= ( 17 - 9) marbles

= 8 marbles

8 marbles belong to Shauntay

Answer:

a) Kylie has 8 marbles

b) 7 Cylinders

c) 17 carrots

d) 8 marbles belong to Shauntay

Step-by-step explanation:

5. Identify the type and subtype of each of the fol-

lowing problems.

a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?

Shawn = 15 marbles

S = K + 7

15 = K + 7

K = 15 - 7

K = 8 marbles

Kylie has 8 marbles

b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?

T = 12 blocks

Cubes = 5

Cylinders = the rest

12 blocks = Cubes + Cylinders

Cylinders = 12 - Cubes

Cylinders = 12 - 5

Cylinder = 7

c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?

Number of carrots Peter has before

= Number of carrots he ate + Number of carrots he has now

= 14 + 3

= 17 carrots

d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?

Total number of Marbles = 17

Kelly = 9 marbles

Shauntay = ?

Total = Kelly + Shauntay

Shauntay = Total - Kelly's marbles

= ( 17 - 9) marbles

= 8 marbles

8 marbles belong to Shauntaya) Kylie has 8 marbles

b) 7 Cylinders

c) 17 carrots

d) 8 marbles belong to Shauntay

Step-by-step explanation:

5. Identify the type and subtype of each of the fol-

lowing problems.

a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?

Shawn = 15 marbles

S = K + 7

15 = K + 7

K = 15 - 7

K = 8 marbles

Kylie has 8 marbles

b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?

T = 12 blocks

Cubes = 5

Cylinders = the rest

12 blocks = Cubes + Cylinders

Cylinders = 12 - Cubes

Cylinders = 12 - 5

Cylinder = 7

c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?

Number of carrots Peter has before

= Number of carrots he ate + Number of carrots he has now

= 14 + 3

= 17 carrots

d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?

Total number of Marbles = 17

Kelly = 9 marbles

Shauntay = ?

Total = Kelly + Shauntay

Shauntay = Total - Kelly's marbles

= ( 17 - 9) marbles

= 8 marbles

8 marbles belong to Shauntay

Step-by-step explanation:

Ellen borrowed some money from her brother. She paid him back by giving him the same amount every week.The graph shows how much DO after each week.

A. 18 weeks
B.6 weeks
C.12 weeks
D. She will never pay it back

Answers

18 weeks will have to be do after each week
It’s 6 weeks

I’m 100% sure!

Help please ... thanks

Answers

put the equation in desmos and you will get your answer :)
Start at point (0,-6) or start at the point that’s -6 on the y line. Then count up 9 the 1 to the right a place a point there. Finally connected ur two lines and that’s the line for your equation

If the x-values of the table shown above are doubled and the y-values stay the same, it represents the function g(x). Construct the equation for g(x)

Answers

Answer:

The maximum value of the table t(x) has a greater maximum value that the graph g(x)

Step-by-step explanation:

Hope this helps :P

A recipe calls for 2/3 cups of sugar. I have 5 1/2 cups of sugar. How many batches can I make, assuming I have a large quantity of all other ingredients?

Answers

Answer:

8.25 batches.

(Or, if rounding to the lowest amount of batches, 8 batches)

Step-by-step explanation:

We have in total 5 1/2 cups of sugar.

And the recipe calls for 2/3 cups of sugar.

So, to find out how many batches we can make, we can divide the amount of have by the amount needed. So:

[tex]5\frac{1}{2}\div\frac{2}{3}[/tex]

Let's convert the first fraction to improper form. We have 5 1/2. So, in improper form, it will be (5(2)+1)/2 or 11/2.

Therefore:

[tex]=\frac{11}{2}\div\frac{2}{3}[/tex]

To divide fractions, we keep, change, and flip. Therefore:

[tex]=\frac{11}{2}\times\frac{3}{2}[/tex]

Multiply straight across:

[tex]=\frac{33}{4}=8.25[/tex]

So, we can make 8.25 batches.

Or, we can make 8 full batches.

Nutted now I’m shaking

Answers

Answer:

Um... Ok..

Step-by-step explanation:

...

Man same lol
Sheesh
Except imma girl

9×7=
9×70=
9×700=
9×7,000=
9×70,000=
9×700,000=
9×7,000,000=

Answers

63
630
6,300
63,000
630,000
6,300,000
63,000,000
9x7=63
9x70=630
9x700=6300
9x7000=63000
9x70000=630000
9x700000=6300000
9x7000000=63000000

For f(x)=-5x+10, what is the value of x for which f(x) =35

X = 5
None are correct
X=3
X=-4
X=-5

Answers

Answer:

x=-5. -5x+10 replace the x with -5, multiply, add ten, and you'll get f(x)= 35

Answer:

-5

Step-by-step explanation:

f(x) =35

f(x) = -5x +10

equate the two equations:

-5x +10 =35

-5x =35-10

-5x =25

x = 25/-5

x = -5

What is 15 divided by 7.4?

Answers

The answer for that is 2.027

Substitution
2x-y=7
3x-2y=10

Answers

Answer:

x=4

y=1

Step-by-step explanation:

hellpppppp please I will give brainliest​

Answers

Answer:

ITS THE 2ND ONE

Step-by-step explanation:

Answer:

y = 5/4x - 1

Step-by-step explanation:

if you look at the graph you will probably be able to tell

im not trying to be me if you think

PLEASE HELP meeeeee asap

Answers

The answer is C

I’m 100% sure

Explanation:
If 3 is 56.5, then 4 would be:
180-56.5= 123.5

Since 3 and 4 are parallel to 7 and 8, they have the same angle sizes.

Therefore, angle 8 has the same answer as angle 4, which is 123.5. Answer is C.

Charli bought 2 3/4 pounds of pears for 0.76 per pound and 2 3/4 pounds of grapes for 1.40 per pound. how much money in dollars and cents did charli pay for the pears and grapes?

Answers

Answer:

[tex]Total = \$5.94[/tex] ---- in dollars

[tex]Total = 594\ cents[/tex] ---- in cents

5 dollars 94 cents

Step-by-step explanation:

Given

Pears

[tex]Weight = 2\frac{3}{4}\ lb[/tex]

[tex]Amount = \$0.76[/tex] per pound

Grapes

[tex]Weight = 2\frac{3}{4}\ lb[/tex]

[tex]Amount = \$1.40[/tex] per pound

Required

Determine the amount paid for the fruit in dollar and cents

First, we need to calculate the amount paid for each fruit.

This is calculated by multiplying the amount per pound by the number of pounds bought.

For Pears:

[tex]Total_{Pears} = 2\frac{3}{4} * \$0.76[/tex]

Convert fraction to decimal

[tex]Total_{Pears} = 2.75 * \$0.76[/tex]

[tex]Total_{Pears} = \$2.09[/tex]

For Grapes

[tex]Total_{Grapes} = 2\frac{3}{4} * \$1.40[/tex]

Convert fraction to decimal

[tex]Total_{Grapes} = 2.75 * \$1.40[/tex]

[tex]Total_{Grapes} = \$3.85[/tex]

Next, we add both amounts together to get the total amount spent in dollars.

[tex]Total = Total_{Pears} + Total_{Grapes}[/tex]

[tex]Total = \$2.09 + \$3.85[/tex]

[tex]Total = \$5.94[/tex]

Multiply by 100 to convert this amount to cents

[tex]Total = 5.94 * 100\ cents[/tex]

[tex]Total = 594\ cents[/tex]

And it can be represented as dollars and cents as:

5 dollars 94 cents

Find the dimensions of the right circular cylinder of maximum volume that can be placed inside of a sphere of radius R.

Answers

This question is incomplete, the complete question is;

Find the dimensions of the right circular cylinder of maximum volume that can be placed inside of a sphere of radius R(10cm)

What is the maximum volume?

Answer:

a) Dimensions of the cylinder are; Radius = 8.1650 cm , Height = 11.547 cm

b) the maximum volume is 2418 cm³

Step-by-step explanation:

From the image

radius of the sphere is 10cm

radius of the cylinder is x and its height is 2y

so

The volume of cylinder  is V = πr²h = πx²(2y)

Get V as function of just one variable x² + y² = 100

x² = 100 - y²

Therefore V = π( 100-y² )(2y) = 200πy-2πy³

V will be a maximum when V' = 0

V' = 200π - 6πy² =0

y² = 200π / 6π = 100/3

y = √(100/3) = 5.7735

x² = 100 - y²

x² =100 - (100/3)

x = √(200/3)

x = 8.1650

So The maximum volume will occur when the radius is 8.1650 cm

and the height 2y is 2(5.7735) = 11.547 cm

The maximum volume is

πr²h = π(8.1650)² (11.547 )  

= 2418 cm³

Therefore the maximum volume is 2418 cm³

In timed pls help

To find this product, Julissa first multiplied 83 x 49.

0.83 x 0.49 = 4067

Where should she place a decimal point in the final product

O Before the 4

O after the 4

O after the 0

O before the 7

Answers

She would place it before the 4.

Answer:

that guys answer is right thx and have a god day :)

Step-by-step explanation:

1. A machine shop has eight screw machines but only three spaces available in the production area for the machine. In how many different ways can the eight machines be arranged in the three spaces available?
2. A quality control randomly selects two of five parts to test for defects. In a group of five parts, how many combinations of two parts can be selected?

Answers

Answer:

a= 336 different ways

b= 10 possible combinations

Step-by-step explanation:

As it is a definite machine and it must have ordered combinations therefore it is a permutation question . So finding 3 out of eight

8 P 3= 336  different ways the eight machines be arranged in the three spaces available.

Since the parts are randomly selected and there is no distinct pattern therefore combinations is used to solve this.

5C2 = 10 possible combinations of two parts can be selected.

List the transformations of the function
j(x) = 3(-7(x+2))-4

Answers

Answer:

transformations of function 3(-7(x+2))-4

vertical stretchhorizontal compressiontranslates lefttranslates downreflection across y-axis

h
– -1 = -3
6

what is the answer​

Answers

Answer:

-36

Step-by-step explanation:

Answer: -24

Explanation:

!!!Plz help!!Choose the most appropriate name for the function described below.
The amount of bread depends on the amount of flour used to make it.
A. Flour(amount), or F(a)
B. Bread(flour), or B(0)
C. Flour(bread), or F(b)
D. Bread(amount), or B(a)

Answers

Answer:

Step-by-step explanation: The answer is Bread(flour) or b(f)

Other Questions
Question: What is it that lives if it is fed, and dies if you give it a drink?A.fireB,anaimalsC.humansD.ants If CE and FH are parallel lines and m Read the excerpt from Thoughts and Sentiments.It is therefore manifest, that something else ought yet to be done; and what is required, is evidently the incumbent duty of all men of enlightened understanding, and of every man that has any claim or affinity to the name of Christian, that the base treatment which the African Slaves undergo, ought to be abolished; and it is moreover evident, that the whole, or any part of that iniquitous traffic of slavery, can no where, or in any degree, be admitted, but among those who must eventually resign their own claim to any degree of sensibility and humanity, for that of barbarians.Read the excerpt from Letters of the Late Ignatius Sancho, An African.I am sure you will applaud me for beseeching you to give one half hour's attention to slavery, as it is at this day practised in our West Indies.That subject, handled in your striking manner, would ease the yoke (perhaps) of manybut if only of oneGracious God!what a feast to a benevolent heart!and, sure I am, you are an epicurean in acts of charity.You, who are universally read, and as universally admiredyou could not failIn these excerpts, how is Cugoanos purpose similar to Sanchos purpose?A. Like Sancho, Cugoano is asking for someones help in passing on his message.B. Like Sancho, Cugoano is hoping that some of the Africans held in captivity will be released.C. Like Sancho, Cugoano is speaking out against the horrible practice of slavery.D. Like Sancho, Cugoano is trying to become a widely read writer and respected philosopher. please help its confusing a little for me will give brainliest What is TRUE about the Great American Songbook?A Its was written by Count Basie and Duke Ellington B Music fans purchased over 40 million copies of itC It described the works of Miles Davis and Charlie ParkerD Ella Fitzgerald was one of the primary contributors to it Following World War II, what was one major difference between the United States and the Soviet Union?The United States had a puppet government, whereas the Soviet Union wanted to contain Communism.The United States had a single-party government, whereas the Soviet Union had a democratic government..The United States had a free market, whereas the Soviet Union had a government-controlled economy.The United States had a government-controlled economy, whereas the Soviet Union had a free market. PLEASE HELP!!! I WILL GIVE BRAINLIEST!!!!1. How did the Grand Canal unite China's economy?2. How were civil service exams used by China's government?3. Why did Buddhism become popular in Tang China?4. What was the Mandate of Heaven?Please only answer if you know!! Please answer at least 2 out of 4!! hi im new and i don't know what 2 do here so can i get help and i need some friends thx 25 pointsGive reasons why you believe that states might have been right not to obey the national government in the early history of America. Would your reasons still be valid for our society today?I don't need the answer I would like someone to explain what I am to do as well as give examples so I can understand. Were the posters that encouraged women to work during World War II an example of propaganda? What bias is present in that message? A goal of the Ku Klux Klan's terror was to...O Secure the election of Samuel TildenO Pass the Fifteenth AmendmentO End woments suffrageO Drive the Republicans out of the South Which of the following is an example of cultural heritage?A. the language one speaksB. one's intellectual abilityC. the amount of land one ownsD. one's desire to succeed Why was japan victorious in the Russo-Japanese war what makes stem cells different from cells in the body An electrician needs to buy 12 3/5 yards of electrical wire. Wire is sold on spools that have 3 1/2 yards of wire in each. How many whole spools of wire does the electrician need to buy? Write your answer as a decimal. Which of the following does the rigid motion preserve? Use the drop-down menu to answer each question.What causes earthquakes? Where do earthquakes begin? If the mass of a sample of Mg is 0.500 g and is placed in 100.0 g of HCl, the heat gained is 546.5 J. What is the change in temperature assuming the specific heat of HCl is 4.017 J/K*g? Answer this pls need it PLZ I NEED HELP!!!Which piece of evidence did Alfred Wegener's original theory of continental drift have access to?A. mountains in North America appearing to match up with mountains in Northern EuropeB. seafloor spreading at mid-ocean ridgesC. reversing paleomagnetism in rocks on the ocean floorD. a seafloor that was geologically active with earthquakes, volcanoes, and mountain chains