The points (6, 9) and (5, 8) fall on a particular line. What is its equation in slope-intercept form?

Answers

Answer 1

Answer:

y=x+3

Step-by-step explanation:

Start with the slope equation [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Since the first point is actually further along the x-axis that x-value becomes [tex]x_{2}[/tex] and its corresponding y-value is [tex]y_{2}[/tex]

[tex]\frac{9-8}{6-5}[/tex]=[tex]\frac{1}{1}[/tex]

The slope for the equation is just one so now find the y-intercept by rearranging the slope-intercept equation.

y=mx+b

y-mx=b

Now Substitute either point in to find b

9-1(6)=b

9-6=b

b=3

Your y-intercept is 3 so now we can write the slope-intercept equation for the two points:

y=x+3


Related Questions

Mhanifa please help this is due soon

Answers

Answer:

(27)

Rectangle

Interior angles are all 90°

5x - 3° = 90° 5x = 93° x = 93°/5 x = 18.6° (28)

Rhombus

All sides are congruent

14 - x = 2x + 5 2x + x = 14 - 5 3x = 9 x = 3 (29)

Square

Diagonals are perpendicular

13x + 5.5° = 90° 13x = 84.5° x = 84.5°/13 x = 6.5°

What is the integer closest to the square root of 17

Answers

Answer:

4

Step-by-step explanation:

[tex]\sqrt{16}[/tex] = 4

Answer:

4.

Step-by-step explanation:

The square root of 17 is 4.12...

square root of 16 is 4

24. Two trapezoids have areas of 432 cm and 48 cm. Find their ratio of similarity
A 3:1
B. 9:1
C. 1 3
D 1.9

Answers

Answer:

9:1

Step-by-step explanation:

432/48=9

9:1

Harrison started a part-time job in order to pay for his gas to get to school and work. His job pays $9.50 per hour. His school has a rule that states that students cannot work more than 15 hours per week. He needs to earn at least $28.50 per week to pay for his gas. A. Write a function f(h) describing how much he will earn as a function of h hours worked. B. Based on the parameters described in the problem, what are the domain and range of the function rounded to the hundredth

Answers

f (15) = $142.50

i hope this help you!

We know that:

Harrison gets $9.50 per hour of work.

He can work a maximum of 15 hours per week.

He needs to earn a minimum of $28.50 per week.

A) We want a function f(h) that tells how much he wins in a week if he works h hours.

So we know that he gets $9.50 per hour of work, then if he works h hours, he gets h times $9.50, then we can just write:

f(h) = $9.50×h

B) First remember that the domain is the set of possible values of h, and the range is the set of possible values of f(h).

We know that the maximum value of h is 15, to find the minimum value of h we need to use the other restriction, that he needs to win at least $28.50, then we need to solve:

$9.50×h = $28.50

h = ($28.50)/($9.50) = 3

Then we can conclude that the domain is:

D = [3, 15]

To find the range, we just need to evaluate the function in the minimum and maximum values of the domain:

f(3) = $28.50

f(15) = $142.50

Then the range is:

R = [$28.50, $142.50]

If you want to learn more, you can read:

https://brainly.com/question/9446123

A rocket travels according to the equation h = - 4.9(t - 6)^2 + 182, How high was the rocket above the ground when it was fired?

Answers

i found the answers to your question.

The school office bought 25 pounds of paper . One pound of paper contains 800 sheets of paper did the school buy ?

Answers

Answer:

I think 20,000 sheets of paper

Step-by-step explanation:

800 x 25 is 20,000

Answer:

The school has 20,000 sheets of paper.

Step-by-step explanation:

800 sheets in one pound

800X25=20,000

A variety pack of snacks contains 4 pretzel bags, 3 popcorn bags and 3 cheddar cracker bags. What is the probability that someone selects a pretzel bag, keeps it, and then selects another pretzel bag. HELLP PLS

Answers

Answer:

2/15

Step-by-step explanation:

Given that :

pretzel = 4

Popcorn = 3

Cheddar cracker = 3

Total = 4 + 3 + 3 = 10

Probability = Required outcome / Total possible outcomes

Selecting with replacement :

First selection :

P(pretzel bag) = 4 / 10

Second selection :

P(pretzel bag) = 3 / 9

P(2 pretzel bags) = 4/10 * 3/9 = 12 / 90 = 2/15

Distribute then combine like terms in the following: 2(2x - 3y) - 3(x - 2y - 4) 4

Answers

I think its:

2(2x-3y)-3(x-2y-4)4

4x-6y-3x-6y(4)

4x-6y-3x-24y

x-30y

Yeah what he said on top

Is x polynomial or not? If it is, state the type and degree of the polynomial.

Answers

Answer:

SORRY I DONT KNOW THE ANSWER

Step-by-step explanation:

I have 40 dollars. If the tickers are 3 for $5 how many tickets do I have?​

Answers

Answer:

You can get 24 tickets

Step-by-step explanation: You do the math

Please help
Find x:


5
31
10
60

Answers

Answer:

x=31....................

What happens to the mean of the data set shown below if the number 20 is added to the data set?

Answers

Answer: The data set is missing therefore I will give you a more general answer

answer : The mean value will shift ( to the right ) by 20

Step-by-step explanation:

when a  number is added to each data value in a data set the mean value will shift ( to the right ) likewise the mode, and Median by the same amount that was added to the data set . but the range and IQR will remain unchanged

Answer:

The answer is C

Step-by-step explanation:

For a sample size of 120 and a sample proportion of 0.4, what is the standard
error of the sampling distribution? Round your answer to three decimal
places.
A. 0.053
B. 0.064
C. 0.045
D. 0.039

Answers

Answer:

c I think not sure juinji

The standard error of the sampling distribution is 0.014. The closest option to 0.014 among the answer choices is C. 0.045, but it is not a match. None of the provided answer choices matches the calculated value exactly.

To find the standard error of the sampling distribution, we can use the formula:

[tex]Standard Error = \sqrt{[(sample proportion * (1 - sample proportion)) / sample size]}[/tex]

Given a sample size of 120 and a sample proportion of 0.4, we can calculate the standard error as follows:

[tex]Standard Error = \sqrt{[(0.4 * (1 - 0.4)) / 120]}\\Standard Error = \sqrt{[(0.4 * 0.6) / 120]}\\Standard Error = \sqrt{[0.024 / 120]}\\Standard Error = \sqrt{0.0002}\\Standard Error \approx 0.014[/tex]

Rounded to three decimal places, the standard error is approximately 0.014.

To know more about sampling distribution:

https://brainly.com/question/28990704

#SPJ2

Using the formula below, calculate the z-score for the listed data points. z-score: zx = x − μ σ z1 = z5 = z6.5 =

Answers

Answer:

z1 = -1.95

z5 = 0.05

z6.5 = 0.8

Step-by-step explanation:

The value of the z score for a mean of 4 and standard deviation is 1.

What is Z score?

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ)/σ

Where x is the raw score, μ is the mean and σ is the standard deviation.

Let us assume that μ = 4, σ = 2, hence for x = 6:

z = (6 - 4) / 2 = 1

The value of the z score for a mean of 4 and standard deviation is 1.

Find out more on Z score at: https://brainly.com/question/25638875

can you please answer these questions​

Answers

1. 7/12
2. 5/8
3. 1/4
4. 5/24

find quotient and reminder of 4x³-12x²+15x-5÷2x-1​

Answers

Answer:

The quotient is 2x² - 5x + 5, while the remainder is 0

Step-by-step explanation:

Given polynomial function;

4x³-12x²+15x-5 and a factor of 2x - 1

The quotient and remainder of the polynomial is calculated using the long division method;

                                         2x² - 5x + 5

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

                       2x - 1   √ 4x³-12x²+15x-5

                                    - (4x³ -  2x²)

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

                                               -10x² + 15x - 5

                                            - ( -10x² + 5x)

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

                                                          10x - 5

                                                      -  (10x - 5)

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

                                                                0

Therefore, the quotient is 2x² - 5x + 5, while the remainder is 0.

     

Which statement describes the expression below? 1 + 6 ÷ 2 × 3 Multiply the quotient of 6 and 2 by 3, then add 1. Add 1 and 6, then divide by 2 and multiply by 3. Divide 6 by the product of 2 and 3, then add 1. Add 3 to half of 6 multiplied by 1.

Answers

Answer:

Add 1 and 6, then divide by 2 and multiply by 3.

Step-by-step explanation:

Pentagon PQRST is shown on the coordinate grid below . Given that the pentagon was rotated 180 ° clockwise and labeled P'Q'R'ST , what are the coordinates of T ?

Answers

Answer:

Step-by-step explanation:

Given is a pentagon. It has 5 sides

The sum of 10 and twice a number
(an equation)

Answers

Answer:

10+2x= the sum (anything could be put here)

Step-by-step explanation:

Well sum is automatically addition

Doubleing a number is basically multiplying it by 2

so

10+2x= whatever youw ant to put here

Find the slope, or rate of change, from the following tables:


Please help me

Answers

the first one, the slope is 5.


the second one, the slope is 2/3.

I NEED HELP I NEED TO PASS THIS

Answers

Answer:

A. the area of the large pond is 16 times the area of the small pond

Step-by-step explanation:

let's say 4 is the radius of the small circle, which means the area is 50.26548

if the large circle is 4 times the small circle, that means it's radius is 16 which means the area is 804.24772

so if you divide the big circle area by the small circle area:

804.24772/50.26548

it gives you 16.00000079577 which is rounded to 16

therefore, the bigger circle is 16 times bigger than the smaller circle

Tome walks 1/3 of a mile in 1/4 of an hour. At this rate, how many miles will Tom walk in 1 hour?

Answers

Answer:

2 miles i think

Answer:

In 1 hour, he'll walk 4/3 miles

Step-by-step explanation:

Ratios:

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

Can anyone explain how you graph things for example, like y=x-4 how would you graph that

Answers

Answer:

In basicallity if a question such as this pops up, the correct way to go would first be to graph this. y=x-4 would be equivalent to x=4.

My paper work is below:

y = x - 4

0 = x - 4

-x = -4

x = 4

Hope this helped..

Factor each expression completely
4x² + 6x – 40
Show your work!!!

NO LINKS PLS

Answers

Answer:

4x²+6x-40

2(2x²+3x-20) factor out 2

2(2x²+8x-5x-20) split the three into a difference

2(2x(x+4)-5x-20) factor the 2 out of first pair of parenthesis

2(2x(x+4)-5(x+4)) factor the 5 out of second pair of parenthesis

2(x+4)(2x-5) factor

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

Step-by-step explanation:

i hope this helps :)

A café has a monthly fixed cost of $4700, and a typical customer order costs the café $2. Therefore, the cost to serve x customers in a month is given by x = 4,700 + 2x. The typical order costs $10. So revenue is y = 10x. Find the number of customers that would need to come in the café for the company to break even. (Intersection point)

Answers

Answer:

The number of customers that would need to come in the café for the company to break even is 470.

Step-by-step explanation:

Given

Revenue = y = 10x ……………….…. (1)

Cost = x = 4,700 + 2x ……………… (2)

Since the company will break even when Revenue is equal to Cost, we therefore equate equations (1) and (2) and then solve for x as follows:

10x = 4,700 + 2x

10x - 2x = 4,700

x = 4,700 / 10

x = 470

Therefore, the number of customers that would need to come in the café for the company to break even is 470.

help me please and thanks!!!!

Answers

Answer:

The answer is B.

Step-by-step explanation:

so from R to S is 180 degrees and if R to P is 130 degrees then you need to subtract 180 from 130 which gives you 50.

Como leer el decimal 0.000000215

Answers

Answer:

cero con doscientas quince mil millonésimas

Step-by-step explanation:

Mhanifa can you please help me? This is due soon. I will mark brainliest!!

Answers

Answer:

6) 197) 22

Step-by-step explanation:

Diagonals of a rectangle are congruent#6

JL = KM

3x + 4 = 4x - 14x - 3x = 4 + 1x = 5

JL = 3*5 + 4 = 19

#7

JL = KM

2x - 6 = 3/2x + 12x - 3/2x = 1 + 61/2x = 7x = 14

JL = 2*14 - 6 = 22

Answer:

JL = KM

3x + 4 = 4x - 1

4x - 3x = 4+1

X= 5

JL = 3*5 + 4 = 19

JL = KM

2x - 6 = 3/2x + 1

2x - 3/2x = 1 + 6

1/2x = 7

X= 14

JL = 2*14 - 6 = 22

What is the formula for the volume of a cone? (Use the word Pi instead of the symbol)

Answers

Answer:

(1/3) Pi r^2 h

Step-by-step explanation:

The volume of a cone (or pyramid, for that matter) is 1/3 the area of the base times the height.

Cones have bases that are circles, so their areas are Pi r^2, usually written [tex]\pi r^2[/tex], Pi times the radius squared.

[tex]V=\frac{1}{3}\pi r^2h[/tex]

The answer of the question

Answers

Answer:

123cm

Step-by-step explanation:

becuse

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