What is the slope of the line that passes through the points (-6, -6) and (-9,-5)? Write your answer in simplest form. What is the slope of the line that passes through the points ( -6 , -6 ) and ( -9 , -5)?​

Answers

Answer 1

Answer:

[tex]y=-\frac{1}{3}x -8[/tex]

Step-by-step explanation:

1) Write down the standard form of an equation of a line and the formula to find m.

[tex]y=mx+b[/tex]

[tex]m=\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

2) Find m using the formula then substitute it into [tex]y=mx+b[/tex].

[tex]m=\frac{-5 - (-6) }{-9 - (-6)}\\m=\frac{-5 +6 }{-9 +6}\\m=\frac{1}{-3} \\m=-\frac{1}{3}[/tex]

So, [tex]y=-\frac{1}{3}x +b[/tex].

3) Find b by substituting a pair of coordinates the line goes through.

[tex]-6=-\frac{1}{3}(-6) +b\\-6=2+b\\-6 - 2=b\\-8=b[/tex]

4) Substitute b into [tex]y=-\frac{1}{3}x +b[/tex] to get your final answer.

[tex]y=-\frac{1}{3}x -8[/tex]


Related Questions

Perform the operation. 3/a^2b + 2/ab^2

Answers

The simplified form of the expression is 3b+2a/(ab)²

Sum of fractions

Fractions are written as a ratio of two integers. Given the expression below;

3/a^2b + 2/ab^2

Find the LCM

3/a^2b + 2/ab^2 = 3b+2a/a²b²

3/a^2b + 2/ab^2 = 3b+2a/(ab)²

Hence the simplified form of the expression is 3b+2a/(ab)²

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Jason has exactly four wooden toy blocks with digits on them. Two of the blocks have the digit 0, one of the blocks has the digit 1, and one of the blocks has the digit 2. How many distinct positive integers can he form using one or more of the blocks, without using each block more than once?

Answers

The number of positive integers is 24

How to determine the number of positive integers?

The digits of the wooden toys are:

0, 0, 1, 2

Since each block cannot be used more than once, and there are four blocks in total;

The number of positive integers is;

Integers = 4!

Expand

Integers = 4 * 3 * 2 * 1

Evaluate

Integers = 24

Hence, the number of positive integers is 24

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Ethan ran 3/4 miles. Megan ran 7/8 miles. How much further did Megan run? Answer in simplest form.​

Answers

Answer:

2/16 or 0.625

Step-by-step explanation:

Find a common denominator for the two fractions. It will be 16. 3/4=12/16

7/8=14/16 or you can do it in decimal form. 3/4=.25 and 7/8= .875

.875-.25=.0.625

[tex]\large\boxed{\frac{1}{8}\ \text{miles}}[/tex]

We need to subtract Ethan's distance from Megan's. First, we need to have a common denominator in the fractions.

Multiply both the numerator and the denominator in [tex]\frac{3}{4}[/tex] by [tex]2[/tex] to get [tex]\frac{6}{8}[/tex], which is equivalent. Now, both numbers have a denominator of [tex]8[/tex] and can be subtracted.

Now, simply subtract the numerators, leaving the denominator alone.

[tex]\frac{7}{8}-\frac{6}{8}=\frac{7-6}{8}=\boxed{\frac{1}{8}}[/tex]

How do you compute -3+9-7

Answers

Answer:

-1

Step-by-step explanation:

-3 + 9 = 6, 6 - 7 = -1

6) You have a rectangular backyard that is 90 feet wide. It has an area of 10,800 square feet. You are
putting a fence along one length of the yard.

a. Use the formula for the area of a rectangle A = 1 w, where I is the length, and w is the width. Find
the length of your backyard.

b. The fence costs $12.50 per linear foot. What is the total cost of the fence for one length of the yard?

Answers

Answer:

Length = 120 ft

Total cost = 1500$

Step-by-step explanation:

First, to find the length of the backyard we reverse the formula (A = l * w) and divide 10,800 by 90.

10,800 ft^2 / 90 ft = 120 ft.

we can check this by plugging the length of 120 ft into the formula:

120 ft * 90 ft = 10,800 ft^2.

Next, to find the cost of the single length of fence we multiply our length (120 ft) by the cost ($12.50):

120 * 12.50 = $1500

QUESTION IS DOWN BELOW 15 POINTS EACH

Answers

The surface area of the given triangular prism is 960 yd²

Calculating surface area

From the question, we are to calculate the surface area of the given figure

The given figure is a triangular prism

Surface area of the triangular prism =

[tex](26 \times 12 )+ 2(\frac{1}{2} \times 10\times 24) + (24 \times 12) + (12 \times 10)[/tex]

= 312 + 240 + 288 + 120

= 960 yd²

Hence, the surface area of the given triangular prism is 960 yd²

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Work out the area of this triangle.
6 cm
11 cm
12 cm

Answers

Step-by-step explanation:

there is a right angle formed in this question

this leads us to Pythagoras theorem

Hyp²=opp²+Adj²

Hyp²=11²+6²

Hyp²=121+36

Hyp²=157

Hyp=√157

Hyp=12.529964086

Hyp=12.5

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your heart beats 86 times per minute proportional or non proportional

Answers

I do not know just doing this for points sorry

........................

Answers

Answer:

???????

Step-by-step explanation:

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Which numbers are perfect squares? Check all that apply. 02 016 018 032 0 044 094 100​

Answers

Answer:

16, 100

Step-by-step explanation:

A perfect square is a number that can be achieved by multiplying a number by itself.

Example: 100 = 10 x 10, so it is a perfect square

2 is not a perfect square because it has no factors that can be multiplied with each other to equal 2. An easy way to check is to use the square root function on your calculator.

If the result is a whole number then it's a perfect square.

A student found the solution below for the given inequality. Which of the following explains whether the student is correct? The student is completely correct because the student correctly wrote and solved the compound inequality. The student is partially correct because only one part of the compound inequality is written correctly. The student is partially correct because the student should have written the statements using “or” instead of “and.” The student is completely incorrect because there is “ no solution “ to this inequality.

Answers

The statement which best explains whether the student is correct is: D. the student is completely incorrect because there is "no solution" to this inequality.

What is an inequality?

An inequality refers to a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:

Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).

Since |x-9| is greater than or equal (≥) to zero (0), we can logically infer that this student is completely incorrect because there is "no solution" to this inequality.

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Complete Question:

A student found the solution below for the given inequality.

|x-9|<-4

x-9>4 and x-9<-4

x>13 and x<5

Which of the following explains whether the student is correct?

A. The student is completely correct because the student correctly wrote and solved the compound inequality.

B. The student is partially correct because only one part of the compound inequality is written correctly.

C. The student is partially correct because the student should have written the statements using “or” instead of “and.”

D. The student is completely incorrect because there is “ no solution “ to this inequality.

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Using the transformation T: (x, y) (x + 2, y + 1), find the distance named.

Answers

The required distance AB is given by .[tex]\sqrt{17}[/tex]

What is transformation?

Transformation, is process which is used to change the position of the bor shapes.

Since, coordinate of A(0,0) B(1,4)

After transformation T: (x, y) (x + 2, y + 1) of A, B it become A'(2, 1), B '(3,5)
Now,
Distance = √(x2-x1)^2+(y2-y1)^2

AB =  [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] ; A'B' =  [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] ;
   A(0,0) B(1,4)                                     A'(2, 1), B '(3,5)
 AB= [tex]\sqrt{(1-0)^2+(4-0)^2}[/tex]                  A'B'= [tex]\sqrt{(3-2)^2+(5-1)^2}[/tex]
 AB= √17                                            A'B' = √17

Thus, the required distance AB and A'B'  = √17.

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Use finite differences to determine whether each relationship is linear, quadratic, or
neither.
x y
-5 17
-4 7
-3 1
-2 -1
-1 1

Answers

The function relationship is a quadratic function

How to determine the function type?

The function is given as:

x y

-5 17

-4 7

-3 1

-2 -1

-1 1

Remove the x values:

y: 17     7      1     -1      1

Calculate the difference between the consecutive y values

Difference: 10  6   2   -2

Because the first difference are not equal, it means that the function is not a linear function.

Calculate the difference between the above differences

Difference: 4   4   4

Because the second differences are equal, it means that the function is  a quadratic function.

Hence, the function relationship is a quadratic function

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What do you think would happen to the average if you kept rolling the number cube over and over?

The average would keep increasing.

The average would keep decreasing.

The average would approach a set value.

The average would not follow any pattern.

Answers

Answer: ( C ) the average would approach a set value.

cuantos parque solares hay en china

Answers

The translation of the question is:

What are solar parks?

The solar park is a concentrated zone of development of solar power generation projects and provides developers an area that is well characterized, with proper infrastructure and access to amenities and where the risk of the projects can be minimized.

How many solar parks are there in China?

Huanghe Hydropower Hainan Solar Park – 2.2GWTengger Desert Solar Park – 1.55GW Datong Solar Power Top Runner Base – 1.1GWYanchi Ningxia Solar Park – 1GWLongyangxia Dam Solar Park – 850MW

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Pls Help! Geometry
Find the area of the shaded region

Answers

Answer: 112.5 square cm

Step-by-step explanation:

The area of the rectangle is [tex](20)(9)=180[/tex] square cm.

The area of the white triangle is [tex]\frac{1}{2}(9)(20-3-2)=67.5[/tex] square cm.

So, the area of the shaded region is [tex]180-67.5=112.5[/tex] square cm.

A square has a perimeter of 24cm. What is the length of each side?

Answers

Quick process:

⇒ Square has  4 sides

⇒ We have been given that the perimeter is 24 centimeters

⇒ Each side is equal in value and each side added up together must equal 24.

⇒ So to finish this out we need to divide the given perimeter which is 2 4 by the amount of side a square has which is 4.

⇒ So 24/4 = 6

Check the answer:

6 + 6  = 12

12 + 12 = 24 √

Perimeter of a square =24cm

Formula=4s

So 4s=24

s=24/4

s=6

Therefore side of the square is 6cm.

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The data in the tables below were collected from first year students at a community college. The variable is “number of credit cards.” Two of the probabilities are missing.

Number of credit cards 0 1 2 3 4 5
Number of students 122 40 28 2 2 6
Based on this data, we can estimate the probability that a randomly selected student has X number of credit cards using relative frequencies to create a probability distribution. Note: There are 200 students.

Number of credit cards 0 1 2 3 4 5
Probability 0.14 0.01 0.01 0.03
Use this information to answer the first two questions below.
What is P(0)? (Hint: Find the relative frequency for this outcome. There are 200 students in the data set.)

Answers

The probability that number of credit cards is 0 is 0.61

What is Probability ?

Probability is the likeliness of an event to happen ,

It has a range from 0 to 1 , where 0 indicates uncertainty while 1 indicates certainty

The data for the college students is given and it has been asked to determine P(0)

The total students are 200

and the students that have no credit card from the data is 122

Therefore

P(0) = 122/200 = 0.61

Therefore the probability that number of credit cards is 0 is 0.61

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In the diagram of AABC shown below, DE || BC.
B
A
3) 3
4) 15
E
If AB= 10, AD = 8, and AE = 12, what is the
length of EC?
1) 6
2) 2
C
dd or create
k as done
nments
As
to Susan Guha

Answers

Answer:

3

Step-by-step explanation:

AD/AB = AE/AC

8/10 = 12/AC

AC = 12(10/8) = 15

EC = 15 - 12 = 3

The scores on a psychology exam were normally distributed with a mean of 61 and a standard deviation of 5. A failing grade on the exam was anything 2 or more standard deviations below the mean. What was the cutoff for a failing score? Approximately what percentage of the students failed ?

Answers

The cutoff for a failing score is 51 and about 2.28% of the students failed the psychology exams.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Z score is given by the equation:

z = (raw score - mean) / standard deviation

Given mean of 61 and a standard deviation of 5.

The z score that corresponds to 2 or more standard deviations below the mean is -2. Hence:

-2 = (x - 61) / 5

x = 51

P(z < -2) = 0.0228

The cutoff for a failing score is 51 and about 2.28% of the students failed the psychology exams.

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The scale in the drawing is 2 cm : 5 m. Select from the drop down the correct numbers into the boxes to give the length, width, and area of the actual room.

Answers

The length, width, and area will be 25m, 15m, and 375m².

How to calculate the area?

From the information given, the scale in the drawing is 2cm : 5m and the length and width are given as 10cm and 6cm respectively.

Length = 10cm = 10 × 2.5 = 25m

Width = 6cm = 6 × 2.5m = 15m

Area = Length × Width

Area = 25 × 15

Area = 375m²

Therefore, the area is 375m².

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Let g be the piecewise defined function shown.

g(x)=
x + 4, −5 ≤ x ≤ −1
2 − x, −1 < x ≤ 5

Evaluate g at different values in its domain.

g(−4) =

g(−2) =

g(0) =

g(3) =

g(4) =

Answers

Work is attached. Hope it helps!

By visual inspection, determine the best-fitting regression model for the
scatterplot,

Answers

Answer:

Linear

Step-by-step explanation:

The line is relatively straight.

Suzanne is looking at taking out a personal loan. Opportunity Loans is offering her $1600 at 3.45% for 1 year, with interest compounding monthly. General Loans is offering her $1600 at 4.2% for 1 year, with interest compounding quarterly. Assuming she makes no payments until the 1 year is up, how much interest will have accrued on each loan? On which loan will she earn the least amount of interest?

Answers

Step-by-step explanation:

So the general formula for compound interest is [tex]A = P(1+\frac{r}{n})^{nt}[/tex] where r is the interest rate, t is the time in years, and n is the amount of compounds per year. So plugging in the values for both equations you'll get

Opportunity Loans:

 [tex]A = 1600(1+\frac{0.0345}{12})^{(12)(1)}[/tex]

 [tex]A = 1600(1.002875)^{12}[/tex]

 [tex]A \approx 1600(1.035)[/tex]

 [tex]A = \$1,656.08[/tex]

  Now to find the interest accrued on this loan you simply subtract 1600 from the A or final amount

 [tex]Interest=1656.08-1600\\Interest=56.08[/tex]

General Loans:

 [tex]A = 1600(1+\frac{0.042}{4})^{(4)(1)}[/tex]

 [tex]A = 1600(1.0105)^4[/tex]

 [tex]A \approx 1600(1.042)[/tex]

 [tex]A = 1,668.27[/tex]

 To find the interest we do the same thing we did in the previous problem

 [tex]interest = 1668.27-1600\\interest=68.27[/tex]

Opportunity loans has the least amount of interest after a year

 

 

Juan owns 7 pairs of pants, 3 shirts, 5 ties, and 6 jackets. How many different outfits can he wear to school if he must wear one of each item?

Answers

To solve this problem, just use multiplication.

[tex]7\text{ pairs of pants}*3\text{ shirts}*5\text{ ties}*6\text{ jackets}=\large\boxed{630\text{ outfits}}[/tex]

You can somewhat think of this situation as a sort of tree. You start with 7 large branches representing the pants, then for every one of those you have 3 medium-sized branches to represent the pairs of pants. Each one of those has 5 sticks for the ties, which in turn each have 6 leaves to represent the jackets and therefore a complete outfit. The solution is found by getting the total number of leaves on the tree.

Write an equation to match the verbal statement.
one-half is equal to the product of a number, c, and eight

Answers

Answer:

1/2 = c*8 or c*8=1/2

Step-by-step explanation:

It says 1/2 is equal to which means 1/2 is on the side for one of the equations. It doesn't really matter. It says is equal to a number, c and eight. Its implying that you multiply c and 8 together because if it meant for another number to be multiplied then a third symbol would be in the operation.

The town of pratt has a population of about 8,260,000. express this number in scientific notation

Answers

Answer:

8.26 x 10^6

Step-by-step explanation:

Scientific notation mean multiply by 10 power

Bernice received the following scores on five science tests: 96, 77, 86, 97, and 89.
Which of the following statements is true?
O The mean of the set is less than the median.
O The mode of the set of scores is 96.
O The median of the set of scores is 86.
o The mean and the median of the set of scores are the same.

Answers

Answer:

the mean and the median of the set of scores are the same.

Step-by-step explanation:

median = 89

mean = 96+77+86+97+89 = 445 / 5

= 89

mode = none

The mean and the median of the set of scores are the same.

What is mean and median?

Introduction to Mean, Median, and Mode: In statistics, we frequently choose a representative value to roughly characterise the entire collection of data. The name "measure of central tendency" denotes that this representative value is one around which the data is centred. The mean, median, and mode are these central tendencies. The most typical way to measure central tendency is with the mean. In actuality, it represents the mean of the specified set of data. Both continuous and discrete data can be used with it. In most cases, the median shows the midpoint of the given set of data when it is arranged in a specific order.

Mean: - Average value

Median: - Middle term (after arranging in either accending or descending order)

Mean = 445/5 = 89

Median = Middle term = 3rd term = 89

Mean and median are equal.

Hence, option D is correct

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Question 22 of 25 Which inequality matches the verbal description? Marc is saving up for a computer. He has $250 saved already. To earn more, he works part-time at a job that pays $16 per hour. Let y represent the price of the computer he chooses, and let x represent the number of hours he works. To purchase the computer, he will need to save at least y dollars.
A. y≤ 250+ 16x
B. y≤ 16x-250
C. yz 250-16x
D. yz 250x + 16​

Answers

A) y which is cost of the computer needs to be less than or equal to the amount of money he is able to make. 16x represents how much money he earns per hour (x= # of hours) Marc already has $250, so you would add that to the amount of money he makes working. Therefore, it’s A.

{(4z-7,z-4,z) |z is any real number} z=-5

Answers

The set when z = -5 is {-27, -9, -5}

How to determine the set elements?

The set is given as:

{(4z-7,z-4,z) |z is any real number}

When z=-5, we have:

4z - 7 = 4(-5) - 7 = -27

z - 4 = -5 - 4 = -9

z = -5

So, we have:

{(4z-7,z-4,z) |z is any real number} ⇒ {-27, -9, -5}

Hence, the set when z = -5 is {-27, -9, -5}

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Draw a vertical line through a normal distribution foreach of the following z-score locations. Determinewhether the tail is on the right or left side of the lineand find the proportion in the tail.z= 1.00z= 0.50z= -1.25z= -0.40 A blue line with 5 orange tick marks then one red tick mark then 4 orange tick marks. the number zero is above the red tick mark. calculate the final displacement from 0 if an object first moves 3 cm to the left and then 5 cm to the right. the final displacement is cm to the . the rate of alcohol absorption refers to the passage of alcohol into Yasmin purchased 6 heads of cabbage that each weighed 2 and StartFraction 3 over 8 EndFraction pounds. How much did the cabbage weigh all together? A security specialist discovers a malicious script on a computer. The script is set to execute if the administrator's account becomes disabled. What type of malware did the specialist discover Increasing which factor will cause the gravitational force between two objects to decrease?weights of the objectsdistance between the objectsacceleration of the objectsmasses of the objects ompanies that want to meet the diverse needs of their employees by offering work-scheduling options can use: Group of answer choices flextime job enlargement job enrichment job rotation gain-sharing Which country once included controversial sterilization camps as part of its national family-planning program The price of an item has been reduced by $3.49. The new sale price is $84.42. What was the original price?$X3 Experiments were done on a certain pure substance ex to determine some of his properties theres a description of each experiment and the table below the side whether the experiment was a physical or chemical property Solve 5x-4 Chris is mixing 2 different types of fruit juice together for a summer drink. The two types of juices he is using is one that is 30% strawberry concentrate and the other is 55% lemon concentrate. If he wants 2 L that is 40% concentrate of the fruit juices, how much of each should be used to create the drink? Megan has 5 yards of cloth to makenapkins. She needs yard for eachnapkin. How many napkins canMegan make with the cloth?napkins The persistent increased rate of breathing following exercise and the time needed to return to the pre-exercise state is known as (the) _____. Find all the possible values of tan^-1 1 I don't like to look out of the windows even there are so many of those creeping women and they creep so fast i wonder if they all come out of the wallpaper as i did How is the theoretical probability of an event computed? The businesswoman who kicks her dog off the porch when she gets home because she's had a rough day at work is using the defense mechanism known as projection. Group of answer choices True False How does the setting of Great Expectations create a sad and depressing tone? Which of the following would be the best evidence to include in the essay? James was supposed to measure the circumference of three trees as homework for science class. When he got to class the next day, he realized that he measured the trees in inches instead of centimeters.One tree had a circumference of 41 inches. What is the tree's circumference in centimeters?Hint: 1 inch equals 2.5 cm A. 102.5 cm B. 27 cm C. 135 cm D. 16 cm