Write the slope-intercept form of the line passing through (–8, –5) and (4, 4).

Answers

Answer 1

Answer:

[tex]\Huge \boxed{y=\frac{3}{4} x+1}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

We can find the slope through two points.

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

m = (4 - -5)/(4 - -8)

m = 9/12 = 3/4

The slope of the line is 3/4.

Slope-intercept form of a line is y=mx+b. Where m is the slope and b is the y-intercept.

y = 3/4x + b

A point on the line is (4, 4). x = 4 and y =4.

4 = 3/4(4) + b

4 = 3 + b

b = 1

The y-intercept is 1.

[tex]\rule[225]{225}{2}[/tex]

Write The Slope-intercept Form Of The Line Passing Through (8, 5) And (4, 4).
Answer 2

Answer:

[tex]\huge\boxed{y = \frac{3}{4}x+1}[/tex]

Step-by-step explanation:

Finding the slope (m) first:

Given the coordinates (-8 , -5) and ( 4 , 4 )

Slope = [tex]\sf \frac{Rise}{Run}[/tex]

Slope = [tex]\sf \frac{y2-y1}{x2-x1}[/tex]

Slope = [tex]\frac{4 + 8}{4+5}[/tex]

Slope = [tex]\frac{12}{9}[/tex]

Slope = m = [tex]\frac{3}{4}[/tex]

Finding y - intercept (b) :

Taking a coordinate say (4,4)

And putting it in slope intercept form along with b

y = mx+b

Where y = 4 , m = 3/4 and x = 4

4 = (3/4)(4) + b

4 = 3+b

4-3 = b

1 = b

So,

b = 1

Putting m and b now in slope-intercept equation:

y = mx+b

[tex]y = \frac{3}{4}x+1[/tex]


Related Questions

PLS PLS HELP WILL GIVE 50 POINTS TO BRAINLIEST How do you find the radius of a circle with the equation: 03.5 (x+2.2)^2 + 3.5 (y−11.1)^2 − 21 = 0

Answers

Answer: r=√6 or r≈2.45.

Step-by-step explanation:

To find the radius, you first need to know the equation of a circle.

Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex]

Now that we know the equation of the circle, we can use it to find the radius of the given equation.

3.5(x+2.2)²+3.5(y-11.1)²-21=0

So far the equation looks pretty similar with the exception of the bolded areas. To get rid of them, we need to use our algebraic properties.

3.5(x+2.2)²+3.5(y-11.1)²-21=0                    [add both sides by 21]

3.5(x+2.2)²+3.5(y-11.1)²=21                       [factor out 3.5]

3.5((x+2.2)²+(y-11.1)²)=21                           [divide both sides by 3.5]

(x+2.2)²+(y-11.1)²=6

Now, our equation is the same as the one posted above. You may think that 6 is our radius, but if you look closely, the equation is equal to r². Therefore, 6 is actually r², not r.

r²=6                                                             [square root both sides]

r=√6

Finally, we have the final answer, r=√6 or r≈2.45.

An online merchant sells products that can be classified into the following non-intersecting categories: video games, electronics and clothing.In any given week, it is estimated that twice as many video games are sold compared to clothing items. However, the number of electronic items sold would be two-thirds of the number of video games sold, less one-fifth of the number of clothing items sold. A total of five items were independently sold in the past week.What is the probability that the five items consisted of three video games, one electronic item and one clothing item?A. 0.03B. 0.06C. 0.08D. 0.12E. 0.15

Answers

Answer:

0.15 ( E )

Step-by-step explanation:

Assuming

video game to be : V

electronics : E

clothing : C

From the content of the question

V = 2c

hence E = 2/3 V - 1/5 C  

              = 2/3 ( 2c ) -  1/5 c

              = [tex]\frac{17c}{15}[/tex]

therefore : V = 2c  and E =  17c / 15

assuming the number of clothing ( c ) = 15

V = 2*15 = 30  and E = ( 17 *15 ) / 15 = 17

Total number of items sold =  V + C + E = 30 + 15 + 17 = 62

from here we can determine the probability that of the five items independently sold that there are 3 video game, 1 electronic item and 1 clothing item

attached below is the remaining part of the solution

Answer:

Step-by-step explanation:

last year frankie deli made an 11 foot 6 inch submarine this year they plan to make another one 2 feet and 3 inches longer how many feet long will this sandwich be? anserw

Answers

Answer:

13 feet 9 inches

Step-by-step explanation:

11 feet 6 inches + 2 feet 3 inches= 13 feet 9 inches

The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.

Answers

Answer:

[tex]perimeter=90[/tex]

Step-by-step explanation:

We know that the length is four times the width, so:

[tex]l=4w[/tex]

We also know the area, which is 324 m². The formula for area:

[tex]A=l*w[/tex]

Insert the known values:

[tex]324=(4w)*w[/tex]

Solve for w. Simplify by removing parentheses:

[tex]324=4w*w\\324=4w^2[/tex]

Divide 4 from both sides to isolate the variable:

[tex]\frac{324}{4}=\frac{4w^2}{4} \\\\81=w^2[/tex]

Find the square root of both sides:

[tex]\sqrt{81} =\sqrt{w^2} \\\\w=9[/tex]

The width is 9 m.

We know the width. Now find the length by using the area formula and inserting known values:

[tex]324=l*9[/tex]

Solve for l. Divide both sides by 9:

[tex]\frac{324}{9}=\frac{l*9}{9}\\\\ l=36[/tex]

The length of the rectangle is 36. (You can check: 4 times 9 is 36)

Now find the perimeter:

[tex]P=2l+2w[/tex]

Insert values:

[tex]P=2(36)+2(9)\\\\P=72+18\\\\P=90[/tex]

The perimeter is 90 m.

a. Guttery invested $147,000 in cash to start the business.
b. Paid $4,700 for the current month's rent.
c. Bought office furniture for $15,420 in cash.
d. Performed services for $8,500 in cash.
e. Paid $1,120 for the monthly telephone bill.
f. Performed services for $14,300 on credit.
g. Purchased a computer and copier for $35,400; paid $11,700 in cash immediately with the balance due in 30 days.
h. Received $7150 from credit clients.
i. Paid $2,700 in cash for office cleaning services for the month.
j. Purchased additional office chairs for $4,500; received credit terms of 30 days.
k. Purchased office equipment for $27,000 and paid half of this amount in cash immediately, the balance is due in 30 days.
I. Issued a check for $8,100 to pay salaries.
m. Performed services for $14,800 in cash.
n. Performed services for $16,300 on credit.
o. Collected $6,700 on accounts receivable from charge customers.
p. Issued a check for $2,250 in partial payment of the amount owed for office chairs.
q. Paid $570 to a duplicating company for photocopy work performed during the month.
r. Paid $1,090 for the monthly electric bill.
s. Guttery withdrew $7.700 in cash for personal expenses.
Required:
Prepare a trial balance, an income statement, a statement of owner's equity, and a balance sheet. Assume that the transactions to
place during the month ended June 30, 2019. Determine the account balances before you start work on the financial statements.
Analyze
< Prey
4 of 10
Next >

Answers

Answer:

unanswerable

Step-by-step explanation:

bruh no one can answer all these questions.  try making them seperatly that should help.

A sample of 40 11th graders were asked to select a favorite pattern out of 6 choices. The following display shows what their favorite color patterns were. The counts have been recorded in the accompanying table according to pattern and the number of students who chose that pattern.

Answers

Answer:

C. Graph C

Step-by-step explanation:

To easily find out which graph correctly displays the data from the list and table, note, the frequency of each color that in ascending order.

The color with the highest frequency would have the longest bar, followed by the 2nd highest, then the third, and so on. Thus, frequency should tally with the length of the bar.

From the table given, the top 3 are:

Pink polka dots => 12

Purple => 8

Ted and orange stripes => 7

Green => 6

Blue and gray => 4

Yellow => 3

The graph that has length of bars that corresponds to the frequency of the colors is graph C

Answer: graph c

Step-by-step explanation:

A P E X

Solve for y. 8/5=4y. Simplify your answe

Answers

Answer:

2/5 =y

Step-by-step explanation:

8/5 = 4y

Divide each side by 4

8/5 * 1/4 = 4y/4

8/4 *1/5 = y

2 *1/5 = y

2/5 =y

Answer:

y=2/5

Step-by-step explanation:

8/5=4y

y=(8/5)/4

y=(8/5)(1/4)

y=8/20

simplify

y=2/5

What is the quotient of 3,968 ÷ 32?

Answers

Answer:

124

Step-by-step explanation:

you just add 32 till u get 3968

Answer: The quotient of 3,968 ÷ 32= 124

I need help I'm in Jr high​

Answers

Answer:

8

Step-by-step explanation:

It is at value 8

You may award me brainliest.

each line represent one interval numerically, space from 4-6 is five therefore teh numbers above are simply one above six and further more.

The answer is 8 because the little line above 6 is 7 so if you go up again it would be 8 !!! Hope this helps

Find the equation of a line containing the given points (4,3) and (8,1). Write the equation in slope-intercept form. Please give step by step explanation.

Answers

Answer:

-1/2

Step-by-step explanation:

y2-y1      1-3     -1

x2-x1      8-4      2

match each statement to the reasons given for the geometric proof.

Given: ABCD is a parallelogram

Prove: Diagonals bisect each other(AE=CE and BE = DE

Answers

Answer:  5, 3, 1, 2, 6, 4

Step-by-step explanation:

The proof should be written as follows (which is a different order than provided):

  Statement                                               Reason                                        

1. ABCD is a parallelogram                     1. Given

2. AB||DC and AD||BC and AB ≅ DC     2. Definition of parallelogram

3. ∠ABD ≅ ∠CDB                                    3. Alternate Interior Angles Theorem

4. ∠DEC ≅ ∠BEA                                     4. Vertical Angles Theorem

5. ΔABE ≅ ΔCDE                                    5. AAS Congruency Theorem

6. AE = CE and BE = DE                         6. CPCTC

This is the order provided in your question:

5. ΔABE ≅ ΔCDE                                    5. AAS Congruency Theorem

3. ∠ABD ≅ ∠CDB                                    3. Alternate Interior Angles Theorem

1. ABCD is a parallelogram                     1. Given

2. AB||DC and AD||BC and AB ≅ DC     2. Definition of parallelogram

6. AE = CE and BE = DE                         6. CPCTC

4. ∠DEC ≅ ∠BEA                                     4. Vertical Angles Theorem

What number should be added to 77 to make the sum 0? (5 points)
77
-77
0
-76

Answers

Answer:

-77

Step-by-step explanation:

77+77=154       wrong

77+(-77)=0         right

77+0=77         wrong

77+(-76)=1        wrong

Answer:

b. -77

Step-by-step explanation:

A washer and dryer cost 1019$ combined. The washer costs 69$ more than the dryer. What is the cost of the dryer?

Answers

Dryer= $1019-$69=$959

Answer:

440.5$

Step-by-step explanation:

1019$ ÷ 2 = 509.5

509.5 - 69$ = 440.5$

Find the differential of each function. (a) y = tan( 5t ) dy = Correct: Your answer is correct. (b) y = 5 − v2 5 + v2

Answers

Answer:

[tex](a)[/tex]  [tex]dy = 5sec^2(5t) \ dt[/tex]

[tex](a) \ dy = \frac{-20v}{(5+v^2)^2} \ dt[/tex]

Step-by-step explanation:

Given;

(a) y = tan(5t)

[tex](b) \ y = \frac{5-v^2}{5+v^2}[/tex]

Solving for (a)

y = tan(5t)

let u = 5t          

⇒y = tan(u)

du/dt = 5

dy/du = sec²u

[tex]\frac{dy}{dt} =\frac{dy}{du} *\frac{du}{dt} \\\\\frac{dy}{dt} = sec^2(u)*5\\\\\frac{dy}{dt} = 5sec^2(u)\\\\\frac{dy}{dt} = 5sec^2(5t)[/tex]

[tex]dy = 5sec^2(5t) \ dt[/tex]

Solving for b;

let u = 5 - v²

du/dv = -2v

let v = 5+ v²

dv/du = 2v

[tex]\frac{dy}{dv} = \frac{vdu - udv}{v^2} \\\\\frac{dy}{dv} = \frac{-2v(5+v^2) - 2v(5-v^2)}{(5+v^2)^2}\\\\\frac{dy}{dv} = \frac{-10v-2v^3-10v+2v^3}{(5+v^2)^2}\\\\[/tex]

[tex]\frac{dy}{dv} = \frac{-10v-10v}{(5+v^2)^2}\\\\\frac{dy}{dv} = \frac{-20v}{(5+v^2)^2}\\\\dy = \frac{-20v}{(5+v^2)^2} dt[/tex]

You meet with the financial aid office to discuss your costs for attending MGA next semester. Tuition is
$113.67 per credit hour, and fees are a flat cost of $660. You have a grant of $350 and a scholarship of
$400. If you are taking 15 credit hours, what amount will you need to pay for your classes next
semester?​

Answers

Answer:

$1615.05

Step-by-step explanation:

First, you need to determine the total cost for taking 15 credit hours:

Total cost=660+(113.67*15)

Total cost=$2,365.05

Now, you can subtract from that the amount of the grant and the scholarship you receive:

$2,365.05-$350-$400=$1615.05

According to this, the answer is that if you are taking 15 credit hours, you will need to pay $1615.05 for your classes next semester.

An article claims that 12% of trees are infested by a bark beetle. A random sample of 1,000 trees were tested for traces of the infestation and found that 127 trees were affected.
z = p - p/underroot pq/n
Using the formula and data provided, what is the value of the z-test statistic?

Answers

Answer:

0.68

Step-by-step explanation:

The formula for z test is given above as:

z = p' - p/√(pq/n)

p' = sample proportion

= Number of infested samples(trees)/ Number of samples

p' = 127/1000 = 0.127

p = 12% = 0.12

q= 1 - 0.12 = 0.88

n = number of samples = 1000

z = 0.127 - 0.12/√(0.88 × 0.12/1000)

z = 0.007/√0.0001056

z = 0.007 /0.0102761861

z = 0.6811865737

Therefore, the z test statistic is approximately ≈ 0.68

Help Me out with this question plz thx​

Answers

Answer:

6x³ - 8x + 9

Step-by-step explanation:

Step 1: Write out expression

2x + 7 + 6x³ - 1 + 3 - 6x - 4x

Step 2: Combine like terms (x)

6x³ - 8x + 7 - 1 + 3

Step 3: Combine like terms (constants)

6x³ - 8x + 9

Answer:

6x^3-8x+9.

Step-by-step explanation:

Rearrange the number with its like terms.

i.e. 6x^3+2x-6x-4x+7-1+3.

which will give us 6x^3-8x+9.

According to an April 2019 report by the Cruise Lines International Association, in 2018 28.5 million people went on cruises, and this accounted for 2% of international travelers. How many people traveled internationally in 2018? Write your answer in millions of people.

Answers

Answer:

Total people international traveler on cruises = 1,425 million people

Step-by-step explanation:

Given:

Total people international traveler on cruises = 28.5 million

Percentage of international traveler = 2%

Find:

Total people international traveler on cruises

Computation:

Total people international traveler on cruises = 28.5 million × [100/2]%

Total people international traveler on cruises = 1,425 million people

The number of international travelers in 2018 was 570000.

Percentage is a number or ratio expressed as a fraction of 100. One percent is a hundredth part.

Given that in 2018 28.5 million people went on cruises, and this accounted for 2% of international travelers.

Number of international travelers = 2% of 28.5 million = 0.02 * 28.5 million = 570000

The number of international travelers in 2018 was 570000.

Find out more on percentage at: https://brainly.com/question/24304697

The accuracy of verbal responses is tested in an experiment in which individuals report their heights and are then measured. The data consist of the reported height and measured height for each individual.
A. Cannot be determined from the information given
B. Dependent samples
C. Independent samples

Answers

Answer:

B. Dependent samples

Step-by-step explanation:

Dependent samples occur when you have two samples that do affect one another. Dependent samples are paired measurements for one set of items.

While independent samples occur when you have two samples that do not affect one another.

Independent samples are measurements made on two different sets of items.

16.75 + 3.2d - 4 + 6d = 51.39

Answers

If you are solving for d the answer is 4.2

a) Find a recurrence relation for the number of bit strings of length n that contain a pair of consecutive 0s.
b) What are the initial conditions?
c) How many bit strings of length seven contain two consecutive 0s?

Answers

Answer:

A) [tex]a_{n} = a_{n-1} + a_{n-2} + 2^{n-2}[/tex]

B) [tex]a_{0} = a_{1} = 0[/tex]

C)   for n = 2

  [tex]a_{2}[/tex] = 1

for n = 3

 [tex]a_{3}[/tex] = 3

for n = 4

[tex]a_{4}[/tex] = 8

for n = 5

[tex]a_{5}[/tex] = 19

Step-by-step explanation:

A) A recurrence relation for the number of bit strings of length n that contain a  pair of consecutive Os can be represented below

if a string (n ) ends with 00 for n-2 positions there are a pair of  consecutive Os therefore there will be : [tex]2^{n-2}[/tex] strings

therefore for n ≥ 2

The recurrence relation for the number of bit strings of length 'n' that contains consecutive Os

[tex]a_{n} = a_{n-1} + a_{n-2} + 2^{n-2}[/tex]

b ) The initial conditions

The initial conditions are : [tex]a_{0} = a_{1} = 0[/tex]

C) The number of bit strings of length seven containing two consecutive 0s

here we apply the re occurrence relation and the initial conditions

[tex]a_{n} = a_{n-1} + a_{n-2} + 2^{n-2}[/tex]

for n = 2

  [tex]a_{2}[/tex] = 1

for n = 3

 [tex]a_{3}[/tex] = 3

for n = 4

[tex]a_{4}[/tex] = 8

for n = 5

[tex]a_{5}[/tex] = 19

If x = -1 and y = 6, then x + 3xy
(A) 19
(B) 17
(C) 16
(D) -16
(E) -17
Choose

Answers

Answer:

D

Step-by-step explanation:

idk I just guessed tbh

Answer:

E -17

Step-by-step explanation:

3 times -1 is -3

-3 times 6 is -18

-18 + -1 is -17 (++)

I don’t understand this bs i need help.

Answers

Answer:

Easy answer is 7

Step-by-step explanation:

Subtract

Answer:

x<-1 or x>4

Step-by-step explanation:

Open ended means Less than

Close ended/colored means less than or equal to

Find the value of x.
X = [?]°
68.5°
Х
49.5°

Answers

Answer:

[tex] \boxed{ \bold {\huge{ \boxed{ \sf{x = 62°}}}}}[/tex]

Step-by-step explanation:

Sum of angle of triangle = 180 °

Create an equation :

[tex] \sf{x + 68.5 + 49.5 = 180°}[/tex]

Add the numbers

⇒[tex] \sf{x + 118 = 180}[/tex]

Move 118 to right hand side and change it's sign

⇒[tex] \sf{x = 180 - 118}[/tex]

Subtract 118 from 180

⇒[tex] \sf{x = 62°}[/tex]

Hope I helped!

Best regards!!

Samantha is building a miniature maze for a science experiment. she determines that she needs 6 yards of wood for the exterior walls. how many feet of wood must she by in order to build her maze?​

Answers

Answer:

18 ft

Step-by-step explanation:

Convert yards to feet:

 6 yds        3 ft

------------ * ------------ = 18 ft

      1            1 yd

Need help now Please help

Answers

Answer:

D is the correct answer.

Answer:

d

Step-by-step explanation:

taisha ran faster than 15.02 but slower than 14.65

solve the equation2.2^2x-7×2^x-4=0.

Answers

Answer:

2

Step-by-step explanation:

2×2^2x - 7×2^x - 4=02×(2^x)^2 - 7×2^x - 4 = 0

Substitute 2^x = y, where y>0

Then we get quadratic equation:

2y^2 - 7y - 4 = 0

Solving this, we get y = 4 as positive root, so;

y = 42^x = 42^x = 2^2x = 2

Answer is 2

How much more gasoline will it take to fill the tank?

Answers

Answer:

I  think you need to divide both fractions and see if you will get a answer from the answer choices.

Step-by-step explanation:

Plz help 7th grade math picture below

Answers

Answer: balance is -44 dollars

This indicates he owes 44 dollars

=======================================================

Explanation:

21 + (-30) = -9 is the balance if we don't account for the overdraft fee

If we do account for the overdraft fee, then -9 + (-35) = -44 is the bank balance.

Note how I'm using negative values to indicate balances in which Nick owes money, rather than it's the amount of money he has. So he owes the bank $44.

------------

A slightly different way to get the answer is to say

21-30 = -9

-9-35 = -44

This is because adding a negative is the same as subtraction.

What is the length of the line segment with endpoints (11, −4) and (−12, −4

Answers

Answer:

23 units

Step-by-step explanation:

Use the distance formula: d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

Plug in the 2 points:

d = [tex]\sqrt{(-12 - 11)^2 + (-4 + 4)^2}[/tex]

d = [tex]\sqrt{529}[/tex]

d = 23

So, the distance is 23 units

Answer:

length of the line segment =23

Step-by-step explanation:

[tex] (11, −4) = (x_1 , y_1) \\ (−12, −4) = (x_2 , y_2) \\ d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2} }[/tex]

Plug in the values into the equation

[tex]d = \sqrt{( - 12 - 11)^{2} + ( - 4 - ( - 4)^{2} } [/tex]

Simply :

-12-11=- -23

-4(-4) = -4+4=0

[tex]d = \sqrt{( - 23)^{2} + {(0)}^{2} } \\ d = \sqrt{529 + 0} \\ d = \sqrt{529} \\ d = 23[/tex]

Other Questions
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