Answers
m=(y₂-y₁)/(x₂-x₁)
We need only two points;
For example:
The points (2,2) and (7,4).
m=(4-2)/(7-2)=2/5
The slope would be 2/5.
I you choose other points, for example (-3.0) and (12,6) the result would be the same.
m=(6-0)(12+3)=6/15=2/5
Answer: the slope would be 2/5
Answer: [tex]\dfrac{2}{5}[/tex]
Step-by-step explanation:
We know that the slope of a line is given by :-
[tex]\text{Slope}=\dfrac{\text{Change in y}}{\text{Change in x}}[/tex]
From the given table , we have
[tex]\text{Slope}=\dfrac{2-0}{\text{2-(-3)}}\\\\\Rightarrow\ \text{Slope}=\dfrac{2}{2+3}\\\\\Rightarrow\ \text{Slope}=\dfrac{2}{5}[/tex]
Therefore, the slope of the line= [tex]\dfrac{2}{5}[/tex]
Related Questions
a swimming pool has 500 gallons of water in it and is leaking. the change in the amount of water in the pool is -3 gallons per hours. how many gallons of water will the pool contain after 6 hours show your work
Answers
-3 per hour
6 hours = -18
500-18=482
=482
u can also use a number line
The swimming pool will contain 482 gallons of water after 6 hours.
Explanation:To find out how many gallons of water the pool will contain after 6 hours, we can use the formula: Volume = initial volume + rate of change * time. In this case, the initial volume is 500 gallons, the rate of change is -3 gallons per hour, and the time is 6 hours.
Using the formula, we have: Volume = 500 + (-3 * 6) = 500 - 18 = 482 gallons.
Therefore, the pool will contain 482 gallons of water after 6 hours.
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632 16/25+32 3/10 what does that =
Answers
Answer:
[tex] 664 \frac{47}{50} [/tex]
Step-by-step explanation:
Let's first add 16/25 with 3/10. To do that, we look for the least common multiple between 25 and 10, which is 50 and we put it in the denominator. Then, we have to compute (50/25)*16, which is equal to 32, and add it to (50/10)*3, which is equal to 15
[tex] \frac{16}{25} + \frac{3}{10} = \frac{32 + 15}{50} = \frac{47}{50} [/tex]
On the other hand, to the non-fraction terms, we just add them. So, 632 + 32 = 664
Finally, the result is 664 47/50
what is 12 divided 155 WITHOUT DECIMALS
BTW the problem involves long division
Answers
12/155= a fraction, when you input it in a calculator.
so, you would do 12/1 times 1/155. When you want to divide fractions, you use a reciprocal. This is when you kind of flip the numerator and denominator. Also, when you want to turn whole numbers into fractions, you just make a dividing bar (fraction) and use 1 as the denominator.
Ok, so next, you do 12 times one. That's 12. Then, you do 1 times 155. That's 155. Your final answer should be 12/155. Sorry if it's wrong, but this is the only way I could think of w/o decimals
Answer:
12 R11 or 12 11/12
Step-by-step explanation:
what are materials both the moon and Earth have?
example : both the moon and earth have craters
Answers
Order the numbers from least to greatest. −1.4,−85, 0.6,−0.9, 14
Answers
Answer:
Numbers from least to greatest is -85 , -1.4 , -0.9 , 0.6 , 14 .
Step-by-step explanation:
Given : Numbers −1.4,−85, 0.6,−0.9, 14.
To find : Order the numbers from least to greatest ?
Solution :
According to number system,
In left side there are negative numbers before zero and after on right side there are positive numbers.
In left side, number written from larger to smallest with negative sign.
In right side, number written from smallest to larger with positive sign.
Numbers from least to greatest is -85 , -1.4 , -0.9 , 0.6 , 14 .
look at problem 5 if the pattern continues will pizza and tacos be served on the same day in 21 school days?explain why not ?
Answers
Part 1: Pizza and tacos will be served on the same day again in 11 school days.
Part 2: No, pizza and tacos will not be served on the same day in 21 school days because 21 is not divisible by the LCM of 4 and 3, which is 12.
Part 1: To find the number of school days until pizza and tacos are served on the same day again, we need to find the least common multiple (LCM) of 4 and 3, which represents the cycle length for both pizza and tacos.
Find the least common multiple (LCM) of 4 and 3.
LCM(4, 3) = 12
Subtract 1 from the LCM to find the number of school days until pizza and tacos are served on the same day again.
Number of school days = LCM(4, 3) - 1
Number of school days = 12 - 1
Number of school days = 11
Therefore, pizza and tacos will be served on the same day again in 11 school days.
Part 2: To determine if pizza and tacos will be served on the same day in 21 school days, we need to check if 21 is divisible by the LCM of 4 and 3, which is 12.
Divide 21 by the LCM of 4 and 3.
21 ÷ 12 = 1, with a remainder of 9
Since the remainder is not 0, pizza and tacos will not be served on the same day in 21 school days.
Explanation: The cycle of pizza and tacos being served on the same day repeats every 12 school days (LCM of 4 and 3). If the number of school days is divisible by 12, then pizza and tacos will be served on the same day. However, since 21 is not divisible by 12 (it has a remainder of 9), pizza and tacos will not be served on the same day in 21 school days.
Complete question:
Part 1: Pizza is served in the school cafeteria every fourth school day. Tacos are served every third school day. Both pizzas and tacos are served today. In how many school days will pizza and tacos be served on the same day again? Part 2: If the pattern continues, will pizza and tacos be served on the same day in 21 school days? Explain why or why not.
Help on Genetics homework
Answers
So basically your have dominant and recessive genes, dominant genes are what takes over and they all come in pairs, you can have Dd (Capitol Dom and lowercase res), DD, or dd. So in Dd, the Capitol D gene takes over bc dominant always takes over unless there are no caps in which you have dd or the recessive gene is what you get so I this case how you use the chart is
Enter the two pairs on the top and side as so-(also heterogenous are when it has both dominant and revise ie Dd)
B b
B
b
Then pair them up to be
BB Bb
Bb bb
Meaning you have a 1/4 chance for blue eyes and 3/4 chance of brown but only 1/4 of pure brown aka DD do the next one with the same method
Tammi deposited $520 into a bank account that earned simple interest each year. After 5 years, she had earned $156 in interest.
If no money was deposited into or withdrawn from the account, what was the annual interest rate?
Enter your answer in the box.
Answers
156/5=31.2
31.2 Dollars every year
31.2/520=.06
.06*100=6% interest rate every year
The annual interest rate is 6% and this can be determined by using the formula of simple interest and also by using the given data.
Given :
Tammi deposited $520 into a bank account that earned simple interest each year. After 5 years, she had earned $156 in interest.The formula of the simple interest can be used in order to determine the annual interest rate.
The formula of the simple interest is given by:
A = P(1 + rt)
where A is the final amount, P is the principal amount, r is the rate of interest, and t is the time in years.
Now, substitute the values of the known terms in the above formula.
520 + 156 = 520(1 + 5r)
Simplify the above expression in order to determine the value of 'r'.
676 = 520(1 + 5r)
1.3 = (1 + 5r)
0.3 = 5r
r = 0.06
Now, multiply by 100 in order to determine the percentage.
r = 0.06 [tex]\times[/tex] 100
r = 6%
So, the annual interest rate is 6%.
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A runner is 7/8 mile from the finsh line. she can travel 3/8 mile per minute,how long will it take her to finsh the race
Answers
7/8=3/8 times time
times both sides by 8/3
56/24=time
28/12=time
14/6=time
7/3=time
2 and 1/3=time
answer is 2 and 1/3 minutes
if 20% is $2.80, what is the full price?
Answers
A bakery uses 475 pounds of apples to make 1000 apple tart each tart contains the same amount of apples how many pounds of apples are used in each tart
Answers
2.105263157894737 which is approximately 2.1
2.1 pounds of apples are used in each tart.
475 apples ÷ 1000 tart = 0.475
The answer :
0.475 pounds of apples are used in each tart
How many sentences are in 3 paragraph.
Answers
how do divide 9.54 by 1.8
Answers
LaShea would like to invest her $100 in birthday money. Which option should she choose so that she will have the most money? 1 year at 8 percent
Answers
C 2 years at 6.5 percent
Step-by-step explanation:
On my quiz it said c was correct.
how many 250 mL can be filled with 2 L of water
Answers
Shall we begin?
2.000ml = 2l
======================
= 2.000 : 250
= 8
Answers: 8
The angle turns through 1-9 of the circle
Answers
-2/3 * x=-4
What is X?
Answers
What is 5/9 divided by -27
Answers
You could round that to -0.02
Hope this helped!
Todd has 2 frogs. This is 1/3 the number of frogs that heather has. How many frogs doEs heather have
Answers
mario travel 180 miles in 2.5 hours if mario travels at the same rate how far can mario travel in 5 hours
Answers
Santiago, a park ranger, was trying to estimate the number of catfish in a lake. He randomly caught 32 catfish, tagged them, and let them go. Six months later, he surveyed fisherman at the lake about how many catfish they caught that were tagged. His survey results showed that 350 catfish were caught and 13 had tags on them. Which is the best estimate for the size of the catfish population in the lake? A. 862 catfish B. 1,420 catfish C. 4,550 catfish D. 11,200 catfish
Answers
Answer:
D. 11,200
Step-by-step explanation:
I said that because it has been a lot of cat fishing
what would be the value of the number in the 30th position
Answers
What is exponential form?
Answers
what is 1 1/3 and 1.3 closest to 0,1,2,3 and how
Answers
If you multiply me by 7, subtract 2 and then divide by 6, you get 9. What number am I ?
Answers
This means that you would be the number 8
hope this helps
The number in question is 8. Multiplying it by 7, subtracting 2, and dividing the result by 6 gives you 9.
To find the number that, when multiplied by 7, subtracted by 2, and then divided by 6, results in 9, we can set up the equation to solve for the unknown number (let's call it x):
7x - 2 = 54 (since 6 times 9 equals 54)
7x = 54 + 2
7x = 56
x = 56 / 7
x = 8
So the number you're looking for is 8 because when you multiply 8 by 7, subtract 2, and then divide by 6, you indeed get 9.
What is the sum of the interior angles in a hendecagon
Answers
Create a set of 5 numbers for which the median is 6, the range is 6, and the mean is 6
Answers
Answer:
3,5,6,7,9
These are the answers
Brooke has to set up 70 chairs in equal rows for the class talent show. What are the possible number of rows that Brooke could set up?
Answers
10 rows of 7
7 rows of ten
1 row of 70
70 rows of 1
2 rows of 35
35 rows of 2
5 rows of 14
14 rows of 5
The possible number of rows that Brooke could set up are 2, 5, 7, 10, and 14.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Let x be the number of rows. There is not room for more than 20 rows:
x ≤ 20
Since all rows must be equal, when we divide 70 by x, we must get a whole number. So, we must find all divisors of 70 smaller or equal to 20 and they are: 2, 5, 7, 10, and 14.
So, the possibilities are:
2 rows with 35 chairs in each row
5 rows with 14 chairs in each row
7 rows with 10 chairs in each row
10 rows with 7 chairs in each row
14 rows with 5 chairs in each row
Therefore, the possible number of rows that Brooke could set up are 2, 5, 7, 10, and 14.
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"Your question is incomplete, probably the complete question/missing part is:"
Brooke has to set up 70 chairs in equal rows for the class talent show. but, there is not room for more than 20 rows. what are the possible number of rows that Brooke could set up.
In the election, candidate B recieved twice as many votes as candidate A. Candidate C recieved 15,000 fewer votes than candidate A. If a total of 109,000 votes were cast, how many votes did candidate B recieve?
Answers
4a - 15000 = 109000
+ 15000
4a = 124000
a = 31000
-
31000 × 2 = 62000 = B
Hope this helps! Let me know if you have any questions :)
The ratio of the number of boys to the number of girls is 4:5 there are 270 students at the school. For each of the following statements explain, whether the statement is true or false and why
Answers
The Statement 3: "There are exactly 30 more girls than boys". is absolutely true.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
The ratio of the number of boys to the number of girls at Liam's school is 4:5 and there are 270 students at his school.
4x + 5x = 270
9x = 270
x= 30
Then, Total boys = 4(30) = 120
Total girls = 5(30) = 150
We can see that Clearly, (Number of girls) > (Number of boys)
Difference = (Total girls) - (Total boys)
= 150-120
= 30
Hence, The Statement 3: "There are exactly 30 more girls than boys". is absolutely true.
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