Find the slope of the line that contains the points (-8, -2) and (-17, 4).
Answers
\(\Large\maltese\underline{\textsf{A. \space What is Asked}}\)
Find the slope of the line that contains the points (-8,-2) and (-17,4)
\(\Large\maltese\underline{\textsf{B.\space This problem has been solved!}}\)
If we are given two points, we can easily find the slope of the line that passes through the points. With points (y₂, y₁) and (x₂, x₁), the slope is \(\bf{\dfrac{y2-y1}{x2-x1}\).
Similarly, with points (-8,-2) and (-17,4) the slope is.
\(\bf{\dfrac{4-(-2)}{-17-(-8)}}\) | as we can see, it is possible to simplify this further
\(\bf{\dfrac{4+2}{-17+8}}\) | simplify
\(\bf{\dfrac{6}{-9}\) | reduce
\(\bf{-\dfrac{2}{3}}\)
\(\rule{300}{1.7}\)
\(\bf{Result:}\)
\(\bf{=-\dfrac{2}{3}}\)
\(\boxed{\bf{aesthetic\not101}}\)
Using the equation of slope of a line, the slope of the line that have the given coordinates is -2/3
What is the slope of the line?The slope of a line represents the measure of how steep the line is, or the rate at which the line rises or falls as you move along it. It is calculated as the ratio of the vertical change (change in y-coordinates) to the horizontal change (change in x-coordinates) between any two points on the line.
If you have two points on a line, (x₁, y₁) and (x₂, y₂), the slope (m) can be calculated using the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Substituting the values into the formula above;
m = 4 - (-2) / -17 - (-8)
m = 4 + 2 / -17 + 8
m = 6 / -9
m = -2/3
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Related Questions
Which inequality is true
Answers
Airline travelers should be ready to be more flexible as airlines once again cancel thousands of flights this summer. The Coalition for Airline Passengers Rights, Health, and Safety averages 400 calls a day to help stranded travelers deal with airlines (seattlepi.com, July 10, 2008). Suppose the hotline is staffed for 16 hours a day. a. Calculate the average number of calls in a one-hour interval; 30-minute interval; 15-minute interval. (Round your answers to 2 decimal places.) Interval Average Number of Calls 60-minute 30-minute 15-minute b. What is the probability of exactly 6 calls in a 15-minute interval? (Round your intermediate calculations and final answer to 4 decimal places.) Probability c. What is the probability of no calls in a 15-minute interval? (Round your intermediate calculations and final answer to 4 decimal places.) Probability d. What is the probability of at least two calls in a 15-minute interval? (Round your intermediate calculations and final answer to 4 decimal places.) Probability
Answers
The Coalition for Airline Passengers Rights, Health, and Safety averages 400 calls a day to help stranded travelers deal with airlines. The hotline is staffed for 16 hours a day.
To calculate the average number of calls in different time intervals and the probability of different events related to these calls.
Part 1:
a. 60-minute interval average number of calls: 400/16 = 25 calls
30-minute interval average number of calls: 25/2 = 12.5 calls
15-minute interval average number of calls: 12.5/2 = 6.25 calls
Part 2:
b. To find the probability of exactly 6 calls in a 15-minute interval, we can use the Poisson distribution formula. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of exactly 6 calls in a 15-minute interval is:
P(6 calls) = (e^-6.25)*(6.25^6)/6! = 0.0686
c. To find the probability of no calls in a 15-minute interval, we can use the Poisson distribution formula. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of no calls in a 15-minute interval is:
P(0 calls) = e^-6.25 = 0.0047
d. To find the probability of at least two calls in a 15-minute interval, we can use the cumulative distribution function of the Poisson distribution. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of at least two calls in a 15-minute interval is:
P(X >= 2) = 1 - P(0 calls) - P(1 call) = 1 - 0.0047 - (e^-6.25)*(6.25^1)/1! = 0.9906
Thus, the average number of calls in a 60-minute interval is 25, in a 30-minute interval is 12.5, and in a 15-minute interval is 6.25. The probability of exactly 6 calls in a 15-minute interval is 0.0686, the probability of no calls in a 15-minute interval is 0.0047, and the probability of at least two calls in a 15-minute interval is 0.9906.
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Select the correct answer.
A circle with center O (0,0) has point B (4,5) on its circumference, which is joined by a line to O.
What is the general form of the equation for the given circle centered at O(0, 0)?
A.
x2 + y2 + 41 = 0
B.
x2 + y2 − 41 = 0
C.
x2 + y2 + x + y − 41 = 0
D.
x2 + y2 + x − y − 41 = 0
Answers
Answer:
B is the correct answer
Step-by-step explanation:
The general form of the equation for a circle centered at the origin (0, 0) is x^2 + y^2 = r^2, where r is the radius of the circle. The radius can be calculated as the distance between the center O (0, 0) and point B (4, 5) on its circumference using the distance formula: r = sqrt((x2 - x1)^2 + (y2 - y1)^2) = sqrt((4 - 0)^2 + (5 - 0)^2) = sqrt(16 + 25) = sqrt(41). Therefore, the equation for the given circle centered at O (0, 0) is x^2 + y^2 = 41. The correct answer is B. x^2 + y^2 − 41 = 0.
Last month 184 people attended the monthly town hall meeting. This month 170 people attended the meeting. To the nearest tenth of a percent, what is the percent decrease in attendance from last month to this month?
Answers
Answer:
7.60%
Step-by-step explanation:
Answer: 7.60%
Step-by-step explanation: took the k12 test
a triangular pyramid with an equilateral base has a side length of 10 centimeters and a surface area of 214.5 square centimeters. find its slant height.
PLEASE ANSWER ASAP
Answers
Answer:the slant height of the triangular pyramid is approximately 11.4132 centimeters.
Factor:
n^4- 3n^2 + 2
*example: n^2-n-2 factored would be: (n-2)(n+1)*
Answers
Step-by-step explanation:
\(( \: n - 1) \times (n + 1) \times \: ( {n }^{ 2 - 2)} \)
the linear function passes through the points (7,-19) and (-3,7). which statement must be true
Answers
please help.
definitions: 1. definition of right triangle
2. definition of isosceles TrianglesReflexive
3. HL
4. definition of perpendicular
5. CPCTC
6. reflexive
Answers
From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC
How to solve two column proof problems?The two column proof to show that ∠BAC ≅ ∠DAC is as follows:
Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD
Reason 1: Given
Statement 2: AB ≅ AD
Reason 2: Definition of isosceles Triangles
Statement 3: ∠1 and ∠2 are right angles
Reason 3: Definition of perpendicular
Statement 4: AC ≅ AC
Reason 4: Reflexive Property
Statement 5: ΔABC and ΔADC are right triangles
Reason 5: Definition of right triangle
Statement 6: ΔABC ≅ ΔADC
Reason 6: HL Congruency
Statement 7: ∠BAC ≅ ∠DAC
Reason 7: CPCTC
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A man has mislaid his wallet. He thinks there is a 0.4 chance that the wallet is somewhere in his bedroom, a 0.1 chance it is in the kitchen, a 0.2 chance it is in the bathroom, and a 0.15 chance it is in the living room. What is the probability that the wallet is a) somewhere else? b) in either the bedroom or the kitchen?
Answers
Answer:
a. Probability = 0.15
b. Probability = 0.3
Step-by-step explanation:
Given
\(P(Bedroom) = 0.4\)
\(P(Kitchen) = 0.1\)
\(P(Bathroom) = 0.2\)
\(P(Living\ room) = 0.15\)
Solving (a): Probability of being somewhere else
This is calculated by subtracting the sum of given probabilities from 1.
\(Probability = 1 - (0.4 + 0.1 + 0.2 + 0.15)\)
\(Probability = 1 - 0.85\)
\(Probability = 0.15\)
Solving (b): Probability of being in bedroom or kitchen
This is calculated as:
\(Probability = P(Bedroom) + P(Kitchen)\)
\(Probability = 0.2 + 0.1\)
\(Probability = 0.3\)
If APR on credit card is 17.8% what is the daily percentage rate (DPR)?
Answers
The daily percentage rate (DPR) for the given Annual Percentage Rate (APR) on credit card is 17.8% is equal to 0.048%.
Given the Annual Percentage Rate (APR) on credit card is 17.8%.
Now, we need to find the daily percentage rate (DPR) for the given yearly percentage on credit card.
To find your current annual percentage rate, look at your monthly statements. To determine the daily percentage rate (DPR), divide the annual percentage rate (APR) by 365 (the number of days in a year).
So, given APR = 17.8%
Now, daily percentage rate will be:
⇒ Daily percentage rate = Annual Percentage Rate ÷ 365
⇒ DPR = APR / 365
⇒ DPR = 17.8% ÷ 365
⇒ DPR = 0.048%
Therefore, daily percentage rate (DPR) is equal to 0.048%.
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3) A certain medication is prescribed based on the patient's weight at 3mg for
every 20 pounds. How many milligrams of medication would you give a patient
who weighs 180 pounds?
Answers
Answer:
27 mg
Step-by-step explanation:
divide 180 by 20 to get 9
then multiply 9 by 3
you should get 27mg
1. Select all equations that have two solutions.
A.x² = 16
B. 4x² = 0
C. x² = -16
D. 3x + 2 = 14
Ex² - 1 = 24
F) (x + 8) (x - 8) = 0
Answers
A) x² = 16 (solutions: x = 4, x = -4)
B) 4x² = 0 (solutions: x = 0)
F) (x + 8)(x - 8) = 0 (solutions: x = -8, x = 8)
HELP PLS WUICK! GIVING OUT BRAINLIST
Answers
Answer:
27
reason:
did it recently
The length of ribbons found at a seamstress are listed.
3, 11, 11, 13, 13, 21
What is the appropriate measure of variability for the data shown, and what is its value?
The mean is the best measure of variability and equals 11.
The median is the best measure of variability and equals 11.5.
The range is the best measure of variability and equals 18.
The IQR is the best measure of variability and equals 2.
Answers
Pls help Darnell is an election officer. On election day, he travels to the polling place, which is 4.4 miles away from his home. On a map of Harrison County, these two places are 8 inches apart. What is the scale of the map? Write your answer in simplest form using whole numbers.
Answers
Answer:
The scale of the map is 1 : 34848---------------------------------
Real distance is 4.4 miles and on the map it is 8 inches.
The scale is:
8 in : 4.4 miles = Divide both sides by 81 in : 0.55 milesor
1 in : 0.55 * 63360 in = Convert 1 mile = 63360 inches1 : 34848The American Association of Individual Investors (AAII) On-Line Discount Broker Survey polls members on their experiences with electronic trades handled by discount brokers. As part of die survey, members were asked to rate members were asked to rate their satisfaction with the trade price and the speed of execution, as well as provide an overall satisfaction rating. Possible responses (scores) were no opinion (0), unsatisfied (1), somewhat satisfied (2), satisfied (3), and very-satisfied (4). For each broker, summary scores were computed by computing a weighted average of die scores provided by each respondent. A portion the survey results follow (AAII Web site. February 7, 2012). Develop an estimated regression equation using trade price and speed of execution to predict overall satisfaction with the broker. Interpret die coefficient of determination. Use the F test to determine die overall significance of the relationship. What is your conclusion at the 0.05 level of significance? Use the t test to determine the significance of each independent variable? What are your conclusions at the 0.05 level of significance? Interpret the estimated regression parameters. Are die relationships indicated by these estimates what you would expect? Finger Lakes Investments has developed a new electronic trading system and would like to predict overall customer satisfaction assuming they can provide satisfactory service levels (3) for both trade price and speed of execution. Use the estimated repression equation developed in part a to predict overall satisfaction level for Finger Lakes Investments if they can achieve these performance levels. What concerns (if any) do you have with regard to die possible responses the respondents could select on the survey.
Previous question
Answers
The estimated regression equation developed in part (a) was found to be an effective predictor of overall customer satisfaction, as indicated by the significant F and t test results.
The estimated regression equation developed in part (a) to predict overall customer satisfaction is given by:
Overall Satisfaction = 0.3151*Trade Price + 0.3132*Speed of Execution + 1.5026
The coefficient of determination (R2) is a measure of how well the equation fits the data and is calculated as the proportion of the variation in overall satisfaction that is explained by the model. In this case, the R2 = 0.39, which means that 39% of the variation in overall satisfaction can be explained by the trade price and speed of execution variables.
To determine the overall significance of the relationship, the F test was used. The F statistic was calculated to be 17.874, which was significant at the 0.05 level (p-value = 0.000), indicating that the model was an effective predictor of overall customer satisfaction.
The t tests were then used to determine the significance of each independent variable. The t statistic for Trade Price was 2.639 (p-value = 0.009), indicating that the variable was significant at the 0.05 level, while the t statistic for Speed of Execution was 2.565 (p-value = 0.012), indicating that the
The estimated regression equation developed in part (a) was found to be an effective predictor of overall customer satisfaction, as indicated by the significant F and t test results.
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Find the value of x that makes the quadrilateral a parallelogram.
Please help
Answers
Answer:
x = 2/3
Step-by-step explanation:
Since it's a parallelogram, the bisected parts of the diagonal must be equal
So 6x must equal 3x + 2:
6x = 3x + 23x = 2x = 2/3-Chetan K
GIVING BRAINLIEST TO THE FIRST PERSON TO ANSWER THIS| Amos scored 100 points while playing 3 rounds of a game, Points Round 1 30 Round 2 25 Round 3 2 Total 100 How many points did he score in round 3? Complete the steps to solve the problem. 1. What do you need to solve for in this problem? Choose a variable to represent this unknown value 1 Write your answer in the space below
Answers
Answer:
x45 for number 1 you need to add up round 1 and round 2 with 3 unanswered and that will give you 55 plus 45 is 100
Step-by-step explanation:
Answer:
Oh yeah You just answered my question thank you for the 50 points tho
Step-by-step explanation:
Daddy CHIll
According to this author, the stories about Nancy Hart . As a result, they are to the study of Georgia’s past.
ill mark you brailiest
Answers
Answer:
According to this author, the stories about Nancy Hart
✔ likely have some basis in truth
.
As a result, they are
✔ very important
to the study of Georgia’s past
Step-by-step explanation:
I just took it on Edge 2020
3/8 divided by -0.25
Answers
Answer:
-1.5
Step-by-step explanation:
use 2nd grade math
Answer:
\(\frac{-3}{2}\)
Step-by-step explanation:
Convert -0.25 to \(\frac{-1}{4}\)
\(\frac{3}{8}(\frac{-4}{1} )\)
\(\frac{-3}{2}\)
6c3c² +d³ for c = 5 and d = 3
Answers
Answer:
6(5)3(5)² + (3)³
Step-by-step explanation:
Put this into your calculator just like this
help lol solve for x
Answers
Answer:
x = 6
Step-by-step explanation:
(8x - 4)° + (3x + 17)° = (17x - 23)° => exterior angle theorem
Solve for x
8x - 4 + 3x + 17 = 17x - 23
Add like terms
11x + 13 = 17x - 23
11x - 17x = -13 - 23
-6x = -36
Divide both sides by -6
x = 6
Which expression is represented by the model shown below?
brit of beau ad noo noiz
Srodeq nislame
Answers
Answer:
4*9
Step-by-step explanation:
It's obvious.
A store that sells video games gives a 15% discount for
customers who trade in a used game. Alex brought a game
to trade, and bought a game that costs $29.99. How much
will the game cost (before tax)?
Answers
The point (2,5) is represented on the graph. Which point also belongs on this graph?
Answers
If the point (30, 75) satisfies the equation, then the point will lie on the line. Then the correct option is B.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The point (2,5) is represented on the graph.
Then the equation of the line passing through (2, 5) and the origin will be given as
y - 0 = [(5 - 0) / (2 - 0)] (x - 0)
y = 5/2 x
2y = 5x
If the point (30, 75) satisfies the equation, then the point will lie on the line.
2 × 75 = 5 × 30
150 = 150
The graph is given below.
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How many solutions does the following equation have?
-5(z+1)=-2z+10
Choose 1 answer:
A: No solutions
B: Exactly one solution
C: Infinitely many solutions
Answers
Answer:
B
Step-by-step explanation:
-5z +1 = -2z +10
-3z = 9
z=9/-3
Z= -3
Answer:
the answer is exactly one solution
Step-by-step explanation:
this is the answer because i just took this question on khan academy and the one solution is z = -5 for the equation
Find the value of x for the following
Answers
Answer:
x = -4°
Step-by-step explanation:
We know that,
→ Sum of angles of straight line is 180°.
Now we have to,
→ Find the required value of x.
Forming the equation,
→ (54°) + (7x + 154°) = 180°
Then the value of x will be,
→ 7x + 154° + 54° = 180°
→ 7x + 208° = 180°
→ 7x = 180° - 208°
→ 7x = -28°
→ x = -28° ÷ 7
→ [ x = -4° ]
Hence, the value of x is -4°.
Answer: I think x = -4
Step-by-step explanation: I used a calculator.
What expression is equivalent to 12y + (7y)(3)
Answers
Answer:
I got 33y
Step-by-step explanation:
hi if its right but here
Answer:
57y
Step-by-step explanation:
There are _ terms in the sequence 1, 2, 2^2, 2^3, ......, 2^70
Answers
Answer: 71
Step-by-step explanation:
Sequence: 2^0, 2^1, ....2^70
Number of terms = 70 + 1 = 71
(0 to 70 = 71 terms)
A 6 inch personal pizza has 640 calories, with 240 of those from fat. A 16 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 16 inch pizza.
Answers
Answer:568.888888888 or 568 and 8/9
Step-by-step explanation:proportional to the radius squared and then divide by 8. 640*64/(9*8)