find the equation of a line with the given points.(put your answers in the form y=mx+b)(6,2)(5,5)

Answers

Answer 1

The slope-intercept form: y= mx + b

m - slope

b - y-intercept

The formula of a slope:

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

We have the points (6, 2) and (5, 5). Substitute:

[tex]m=\dfrac{5-2}{5-6}=\dfrac{3}{-1}=-3[/tex]

Therefore we have y = -3x + b.

Put the coordinates of the point (5, 5) to the equation:

5 = -3(5) + b

5 = -15 + b     add 15 to both sides

20 = b

Answer: y = -3x + 20
Answer 2

Answer:

y = -3x + 20

Step-by-step explanation:

(a) Slope

The point-slope formula for a straight line is

y₂ - y₁ = m(x₂ - x₁)     Insert the points  

2 - 5 = m(6 - 5)

    -3 = m×1

    m = -3

=====

(b) y-intercept

y₂ - y₁ = m(x₂ - x₁)

y₂ - 5 = -3(x₂ - 5)     Remove parentheses

y₂ - 5 = -3x₂ - 15       Add 5 to each side

      y = -3x + 20


Related Questions

When a customer wants pie for dessert, you cut the whole pies into 7 equal slices. At the end of your shift, 3/7 of a cherry pie, 2/7 of an apple pie, 3/7 of a peach pie, and 5/7 of a blueberry pie remain. How much pie remains, as a fraction of a whole pie?

Answers

Answer:

The answer is 13/7

Step-by-step explanation:


Answer:

13/7

Step-by-step explanation:

What is the remainder in the synthetic division problem below?https://brainly.com/question/add?entry=1642&task_content=What+is+the+remainder+in+the+synthetic+division+problem+below%3F

Answers

Answer:

could you be more specific? link doesn't take me anywhere

What is the value of x in the equation , when ?

4.6
8.4
10
12

Answers

Answer:

x=8.4

Step-by-step explanation:

4x + 8 (0.8) = 40

4x = 40 - 6.4

4x = 33.6

x = 33.6/ 4

x= 8.4

B) 8.4..............

Sarah answered 85% of the trivia questions correctly what fraction describes this percent

Answers

Answer:17/20



Step-by-step explanation:


100% being a whole.

so she got 85% out of 100%, then 85 out of 100.

[tex]\bf \cfrac{85}{100}\implies \cfrac{5\cdot 17}{5\cdot 20}\implies \cfrac{5}{5}\cdot \cfrac{17}{20}\implies 1\cdot \cfrac{17}{20}\implies \cfrac{17}{20}[/tex]

Using the GCF, what is the factored form of 24v – 84?

Answers

The GCF of this expression is 12, and so the fully factored form of this expression is: 12(2v - 7)

Answer:

12(2v - 7)

Step-by-step                

are the two statements equivalent the ratio of orange. to blue is 3 to 4

please help

Answers

Answer:

Although I'm not entirely sure of the question (sorry lol), any ratio that is 1.5:2 , 6:8 , 9:12 , 12:18 etc would be equivalent to 3 to 4.

Step-by-step explanation:

If you divide both 3 and 4 by 2 you'd wind up with 1.5 ( 3 ) and 2 ( 4 ). When multiplying, you'd get 3x2 = 6 and 4x2=8, 3x3 = 9 and 4x3 = 12 and so on.

The cost​ T, in hundreds of​ dollars, of tuition and fees at many community colleges can be approximated by Upper T equals one half c plus 1
​, where c is the number of credits for which a student registers. Graph the equation and use the graph to estimate the cost of tuition and fees when a student registers for 2 three​-credit courses.

Answers

course set of 8 and 2/3rds

The thickness of each type of coin is shown in the table. How much thicker is a stack of a dollars worth of nickels than a dollars worth of quarters

Answers

Answer:

16 nickels thicker

Step-by-step explanation:

You would need 20 nickels for 1 dollar and only 4 quarters for 1 dollar.  Do 20 minus 4 and your answer is 16 nickels. The stack of nickels is 16 coins thicker. Hope this helped!

A water bottle that holds 24 1/2 ounces of water is 3/5 full. Is there enough water in the bottle to fill three glasses with 5 ounces each?

Answers

Answer:

No, there is not enough water.

Step-by-step explanation:

The water bottle holds 24.5  and there is 3/5 of it.

3/5 of 24.5 is 14.7 ounces

You want to fill three glasses with 5 ounces each. Multiply 3 x 5 which gives you 15.

14.7 is less than 15

Subtract 15 from 14.7 and you'll have a negative or not enough so no, it cannot fill three glasses with 5 each.

No there is not enough water

Which of the following graphs shows the solution set to -2x + 8 is less than 12.


With a detailed explanation!!!

Answers

Answer: choice (3)

Open circle at -2; shading to the right of -2

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

Work Shown:

-2x+8 < 12

-2x+8-8 < 12-8 ... subtract 8 from both sides

-2x < 4

-2x/(-2) > 4/(-2) ... divide both sides by -2; sign flips

x > -2

To graph this, plot an open circle at -2 on the number line. Shade to the right of this open circle. The open circle means "this value is not included in the shaded solution region". The sign flips in the second to last step because we divided both sides by a negative number.

Answer:

3.     x>-2  see graph

Step-by-step explanation:

-2x+8 < 12

Subtract 8 from each side

-2x+8 -8 <12-8

-2x <4

Divide by -2 (Remember this flips the inequality)

-2x/-2 > 4/-2

x >-2

1/4 = z/20 Plzzz i need this done ASAPP!!!!!!! ill give 30 points

Answers

Answer:

z=5

Step-by-step explanation:

1/4=z/20

20*1/4=z

z=5

z=5
1/4 of 20=5
as you can see above, you need to do the same thing to the denominator and to the numerator. after finding the multiplier of the fraction, you can easily find the answer.

Mr. Deets is making an array to display 9 pictures. For each pair of different factors, there are two arrays he can make. How many different arrays can Mr. Deets make ? Is the number of arrays odd or even Explain.

Answers

3 arrays - 1 x 9 (or 9 x 1) and 3 x 3

Hence, the number of arrays = 2 x 2 = 4 = even

First, we pair the different factors of 9.

The different factors of 9 are:

(1, 9) and (3, 3)

For each pair, Mr. Deets can make 2 arrays.

So, the total number of arrays that Mr. Deets can make = 2 x 2 = 4 and hence the number of arrays is even.

Answer:

4 arrays,

Number of arrays is even.

Step-by-step explanation:

∵ The possible pairs of two numbers which give 9 after multiplication,

( 3, 3) and (9, 1),

So, the possible array would be,

3 × 3, 9 × 1

Note : 9 × 1 can also be written as 1 × 9,

According to the question,

For each pair of different factors, there are two arrays,

3 × 3 and 9 × 1 are two arrays with no same factor,

Hence, the total arrays = 2 × 2 = 4

Which is an even number.

The price of a video game was reduced from $60 to $45. by what percentage was the price of the video game reduced

Answers

Answer: 25%

Step-by-step explanation:

Given : The price of a video game was reduced from $60 to $45.

i.e. Previous price = $60

New price = $45

Reduction in price = Previous price -New price

= $60 - $45 = $15

Then, the percentage was the price of the video game reduced :-

[tex]\dfrac{\text{Reduction in price}}{\text{Previous price}}\times100\\\\=\dfrac{15}{60}\times100=25\%[/tex]

Hence, the percentage was the price of the video game reduced = 25%

25% was the price of the video game reduced.

Step-by-step explanation:

Given :

Previous Price of the video game = $60

Present Price of the video game = $45

Calculation :

Let previous price of the video game be 100% than,

[tex]= \dfrac{45\times 100}{60}[/tex]

=  75%

Reduced Percentage = 100 - 75 = 25%

Therefore,  25% was the price of the video game reduced.

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Need help ASAP!

Write the missing base.

256 + ___ (power 6 with the missing base)

16 = ___ (power 4 with missing base)

Will give brainliest! read carefully.

Thank you ^^

Answers

256 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2

       = 2⁸


16 = 2 * 2 * 2 * 2

   = 2⁴

Create a table of x and y values for the expression y/4=3/4x+2. Use the x values of -2,0, and 2. I need help with just number 2

Answers

Because it says use -2,0,and 2 for x, we can plug those numbers into the equation. y/4=3/4(-2)+2   y/4= -1 1/2 +2 now to get x by itself, we can multiply each side by 4. y=-6+8 which equals y=2 when x=-2. Now you can do the same thing with 0 and 2 as x. You get y=8 when x=0 and y=14 when x=2.

x  |   y

-2 |  2

0  |  8

2  |  14

y = -0.4x +0.3
in standard form using integers !!!!

Answers

Add 0.4x
[tex]y + 0.4x = 0.3[/tex]
Multiply by 10
[tex]10y + 4x = 3[/tex]

Using the following grading scale and the following scores calculate the student’s final grade in the class: Tests: 55% Quizzes: 30% Homework: 5% Final Exam 10% Tests: 90 average Quizzes: Scores of [67, 90, 44, 29, 100, 100, 100] Homework: 85 average Final Exam: 98

Answers

The student's final grade in the class is 87.08%.

Calculating the Student's Final Grade:

Step 1: Calculate Individual Category Scores:

Tests: 90% (average)

Quizzes: (67 + 90 + 44 + 29 + 100 + 100 + 100) / 7 = 78.43%

Homework: 85% (average)

Final Exam: 98%

Step 2: Apply Category Weights:

Tests: 90% * 55% = 49.5%

Quizzes: 78.43% * 30% = 23.53%

Homework: 85% * 5% = 4.25%

Final Exam: 98% * 10% = 9.8%

Step 3: Add Category Scores:

49.5% + 23.53% + 4.25% + 9.8% = 87.08%

Therefore, the student's final grade in the class is 87.08%.

A rectangular room must have a perimeter of 70 feet and an area of at least 200 square feet. Describe the possible widths of the room. Round your answers to the nearest tenth of a foot.

The approximate width of the room is at least
feet and at most
feet.

Answers

The possible widths of the room go from 8 to 27 feet, as well as the possible lengths of it.

Given that a rectangular room must have a perimeter of 70 feet and an area of at least 200 square feet, to determine the possible widths of the room the following calculations must be performed:

Rectangle = 70 feet of perimeter = 35 feet of base and height added

Area of a rectangle = base times height

5 x 30 = 150 6 x 29 = 174 7 x 28 = 196 8 x 27 = 216 10 x 25 = 250 17 x 18 = 306 27 x 8 = 216

Therefore, the possible widths of the room go from 8 to 27 feet, as well as the possible lengths of it.

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What is the slop of y=-7

Answers

Answer:

slope of y = -7 is 0

Step-by-step explanation:

y = any number forms a graph of a horizontal line

x = any number forms a graph of a vertical line

For any horizontal line , the slope is always 0

for any vertical line  , the graph is always undefined

So for y =-7 we will get a horizontal line at -7  on t

the slope of horizontal line y=-7 is 0

You buy 4 bags of sand and 3 bags of pea gravel for $24. In a second purchase (at the same prices), you buy 2 bags of sand for $6. Let x represent the price (in dollars) per bag of sand and let y represent the price (in dollars) per bag of pea gravel. Use a graph to find the price per bag of sand and the price per bag of pea gravel.

Answers

Answer:

x = $3

y = $4

Step-by-step explanation:

We need to know the prices of gravel and peas. We can find the price by using equations and graphing them.

Let X be the price of the sand

Be and the price of pea gravel

In the first purchase we have:

[tex]4x + 3y = 24[/tex]

In the second purchase we have

[tex]2x = 6[/tex]

Both relations represent the equation of a line. In the graphic shown, these lines are drawn. In this case the interception between both lines represents the price of each product, and the solution of the problem. You can see that the lines intersect at point (3 4). This means that the price of each bag of sand is $ 3, and the price of a bag of pea gravel is $ 4.

Find the difference.

Answers

Answer:

-2x-4

Step-by-step explanation:

(-7x-7y-4)-(-5x-7y)=-7x-7y-4+5x+7y=-7x-4+5x=-2x-4

Answer:

-2x - 4

Step-by-step explanation:

(- 7x - 7y - 4) - (-5x - 7y)              Remove both sets of brackets-7x - 7y - 4 + 5x + 7y                   Notice the sign change in 6x and 7y Two minus signs multiplied together make a plus. Gather like terms.-7x + 5x - 7y + 7y - 4                   Simplify-2x - 4                                          Note the ys cancel out.



Which of the following would be considered important in including in the summary of an experimental investigation?




A.) variables that were manipulated during the experiment



B.) number of scientists involved in the experiment



C.) list of all materials and equipment used in the experiment



D.) laboratory room number in which the experiment took place


Answers

Question: Which of the following would be considered important in including in the summary of an experimental investigation?

Answer: variables that were manipulated during the experiment

Explanation:  A variable is anything that can change in an experiment.

question answered by

(jacemorris04)

Hi There!

Answer:

A.) variables that were manipulated during the experiment

Least important to most important steps to include in a summary:

variables that were manipulated during the experiment.list of all materials and equipment used in the experiment.number of scientists involved in the experiment.laboratory room number in which the experiment took place.

Hope This Helps :)

Which of the following shows the abbreviation for an SI unit of density?

A. lb/mL
B. g/cm3
C. L/kg
D. kg/m2

Answers

Answer:

B. g/cm3


Step-by-step explanation:


Answer:

kilogram

Step-by-step explanation:

The SI unit of kilogram per cubic metre (kg/m3) and the cgs unit of gram per cubic centimetre (g/cm3) are probably the most commonly used units for density.1,000 kg/m3 equals 1 g/cm3. (The cubic centimeter can be alternately called a millilitre or a cc.)

Tracy ran 1,000 meters in 5 minutes. How many meters/minutes did she run?

(Explain/show work)

Answers

Answer: If the question you are asking is how many meters Tracy ran per minute the answer would 200 meters per minute


Step-by-step explanation:

1) You would take 1,000 and divide it by 5

In order to check your work you can just multiply 200 by 5.

Hope this helped!

a used car lots runs sales at the end of the year to reduce inventory this year the sale price is 15% less than the regular price if the regular price of a car 12,000, what is the sale price of the car

Answers

Answer:

$10,200

Step-by-step explanation:

12,000x 0.85 = $10,200

or 12,000 x 0.15 = 1,800

$12,000 - $1,800 - $10,200

GCF of 35 and 63. Show your work.

Answers

Answer:


Step-by-The GCF of 35 and 63 is 7. To find the GCF, we will start by listing the factors of 35 and listing the factors of 63. We see that the factors that are common to both 35 and 63 are 1 and 7, and the greatest of these is 7. Therefore, the greatest common factor of 35 and 63 is 7.step explanation:


The greatest common factor of the numbers 35 and 63 will be 7.

We may use the prime factorization method to get the greatest common factor (GCF) of 35 and 63.

The two numbers are first factored into their prime factors.

While 63 can be written as 3 * 3 * 7, 35 may be written as 5 * 7.

Next, we determine the common prime factors and calculate each factor's lowest exponent.

The common component in this instance is 7. The GCF of 35 and 63 is thus 7.

The greatest number that divides both 35 and 63 without producing a remainder is the GCF.

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Find the area of the minor segment of a circle of radius 42cm, if the length of the corresponding arc is 44 cm.

Answers

Answer:

160.0 cm²  

Step-by-step explanation:

R = 42 cm; s = 44 cm

1. Central angle θ (working in radians)

θ = s/R

θ = 44/42

θ = 22/21

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

2. Area of sector

A = ½R²θ

A = ½(42)²(22/21)

A = ½(42×21×2)(22/21)

A = 924 cm²

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

3. Area of triangle

A = ½R²sinθ

A = ½(42)²sin(22/21)

A = ½ ×1764 × 0.8662

A = 764.0 cm²  

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

4. Area of segment

Area of segment = Area of sector – area of triangle

= 924 – 764.0

= 160.0 cm²

The area of segment is [tex]\boxed{160{\text{ c}}{{\text{m}}^2}}.[/tex]

Further explanation:

The formula of angle can be obtained as follows,

[tex]\boxed{\theta= \frac{{{\text{arc}}}}{{{\text{radius}}}}}[/tex]

The formula for area of sector can be expressed as follows,

[tex]\boxed{{\text{Area of sector}} = \frac{1}{2}{r^2}\theta }[/tex]

The formula for area of triangle can be expressed as follows,

[tex]\boxed{{\text{Area of triangle}} = \frac{1}{2}{r^2}\sin \theta }[/tex]

Given:

The radius of the circle is [tex]42{\text{ cm}}.[/tex]

The length of an arc is [tex]44{\text{ cm}}.[/tex]

Explanation:

The radius of the sector is [tex]42{\text{ cm}}[/tex] and the length of an arc is [tex]44{\text{ cm}}.[/tex]

The angle can be obtained as follows,

[tex]\begin{aligned}\theta&= \frac{l}{r}\\&=\frac{{44}}{{42}}\\&= \frac{{22}}{{21}}\\\end{aligned}[/tex]

Area of the triangle can be obtained as follows,

[tex]\begin{aligned}{\text{Area}}&= \frac{1}{2}{r^2}\sin {{\theta }}\\{\text{ }}=&\frac{1}{2}{\left( {42} \right)^2}\sin \left( {\frac{{22}}{{21}}} \right) \\&=882 \times 0.8662\\&=764{\text{ c}}{{\text{m}}^2}\\\end{aligned}[/tex]

Area of sector can be obtained as follows,

[tex]\begin{aligned}A&= \frac{1}{2}{r^2}\theta\\&= \frac{1}{2} \times {\left( {42} \right)^2} \times \left({\frac{{22}}{{21}}} \right) \\&= 924{\text{ c}}{{\text{m}}^2}\\\end{aligned}[/tex]

The area of segment can be obtained as follows,

[tex]\begin{aligned}{\text{Area of segment}}&= {\text{Area of sector}} - {\text{Area of triangle}}\\&= {\text{924}} - 764\\&= 160{\text{ c}}{{\text{m}}^2}\\\end{aligned}[/tex]

The area of segment is [tex]\boxed{160{\text{ c}}{{\text{m}}^2}}.[/tex]

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Area of Circles

Keywords: area, minor segment, circle, radius 42 cm, length of the corresponding arc is 44 cm, sector, segment.

Logb A=2 and logb B=-3. Find logb AB

Answers

log_b(A)=2

b^2 = A

log_b(B) = -3

b^-3 = B

A * B = b^2 * b^-3

AB = b^-1

log_b(AB) = -1

IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the IQ that corresponds to a z-score of 2.33?

Answers

Final answer:

The IQ score that aligns with a z-score of 2.33 in a normal distribution having a mean of 100 and a standard deviation of 15 is approximately 135.

Explanation:

The IQ score that corresponds to a z-score of 2.33 can be found using the z-score equation. In this equation, z is equal to (X - μ)/σ, where X is the value we're trying to find, μ is the mean, and σ is the standard deviation. Given that the mean (μ) is 100 and the standard deviation (σ) is 15, we can plug these values into the equation along with the z-score of 2.33 to solve for X. Through rearrangement of the z-score equation, X = zσ + μ. Substituting a z of 2.33, σ of 15, and μ of 100, gives X = (2.33*15) + 100 = 134.95. Hence, an IQ of approximately 135 corresponds to a z-score of 2.33 on a normally distributed IQ test.

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you can walk 1 1/2 miles in 1/2 an hour what is your average speed

Answers

Answer:

3 miles per hour

Step-by-step explanation:

If you walk 1.5 miles in .5 of an hour you take 1.5 and divide it by .5 of an hour and you get the speed you were walking

Answer:

3 miles per hour

Step-by-step explanation:

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