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SVEN [57.7K]
3 years ago
6

How do you find the point slope form for the points (2,7) and (-1,9)?

Mathematics
2 answers:
iris [78.8K]3 years ago
8 0

Answer:

y = -2/3 x + 25/3

Step-by-step explanation:

The slope = (y_2 - y_1) / (x_2 - x_1) = (9 - 7) / (-1 - 2) = -2/3.

Our equation needs to be in y = mx + b form.

We can plug in (2, 7) as our (x, y) and find b:

7 = -2/3 (2) + b

b = 7 + 4/3 = 25 / 3.

Therefore, our equation is y = -2/3 x + 25/3

brilliants [131]3 years ago
3 0

Use the Equation(in the picture) and plug in your variables to find m(slope)

\frac{9-7}{-1-2} = \frac{-2}{3} = -0.67

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*<br> True or False? Natural Numbers are closed under division.
suter [353]

Answer: False

Natural numbers are not closed under division

Some natural numbers divide to get another natural number. For example, divide 10 over 2 to get 10/2 = 5.

However, there are infinitely many natural numbers that divide to get something that isn't a natural number. Example: 10/7 = 1.43 approximately. All we need is one counterexample to contradict the original statement.

A set is considered closed under division if dividing any two values in that set leads to another value in the set. More formally, if a & b are in some set then a/b must also be in the same set for that set to be closed under division.

If we changed "natural numbers" to "rational numbers", then that set is closed under division. If p, q are rational numbers then p/q is also rational. Basically, dividing any two fraction leads to some other fraction. The value of q cannot be zero.

8 0
3 years ago
There be a dilation of segment op, if the length of segment op is 24 cm and the length of its image is 12 cm then what is the sc
Genrish500 [490]

Answer:

Step-by-step explanation:

How do u find the scale factor of a dilation?

To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image. The ratio of these distances gives us the scale factor, as Math Bits Notebook accurately states

5 0
3 years ago
Lynn asked six friends how many cars their parents own. She recorded 1, 1, 2, 2, 2, and 4 cars. What is the mean absolute deviat
galben [10]
To find the mean absolute deviation, you have to find the mean first.
1+1+2+2+2+4=12
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Next, you have to find the amount the original numbers are away from the mean.
1= 1 away from 2               2=0 away from 2               4=2 away from 2
You should get: 1,1,0,0,0,2              Next, you have to find the mean of the new set of numbers.    1+1+0+0+0+2=4
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8 0
4 years ago
Read 2 more answers
2.5y + 3x=7 5x - 2.5y = 5
weeeeeb [17]
2.5y + 3x=7 (1st)
5x - 2.5y = 5 re-write -2.5y + 5x = 5 (2nd)

2.5y + 3x=7 (1st)
-2.5y + 5x = 5 (2nd)
---------------------------add
8x = 12
  x = 12/8 = 1.5

2.5y + 3x=7
2.5y + 3(1.5)=7
2.5y = 7 - 4.5
2.5y = 2.5
     y = 1

answer
solution (1.5 , 1)

6 0
4 years ago
Read 2 more answers
What is the value of n? 40= -5n/8
STALIN [3.7K]
To find value of n, we have to have only one n of the RHS.
To do this, we can multiply both sides by 8
40= \frac{-5n}{8} /*8
320=-5n
Now we can divide both sides by -5
320=-5n  / :(-5)
-64=n

Result is -64
7 0
3 years ago
Read 2 more answers
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