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Kitty [74]
3 years ago
12

Find the slope of a line that passes through (-2,1) and (4,9)

Mathematics
1 answer:
melamori03 [73]3 years ago
8 0

Answer:

m = 4/3

Step-by-step explanation:

To find the slope of a line use the formula, where "m" means slope:

m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }

*You don't need to show this part on paper*

Choose which point you want to be point 1 and point 2. Remember the points are written (x, y).

Point 1: (-2, 1)       x₁ = -2  y₁ = 1

Point 2: (4, 9)      x₂ = 4   y₂ = 9

Substitute the coordinates into the formula:

*Show this part on paper*

m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }

m=\frac{9-1 }{4-(-2) }         Simplify

m=\frac{8 }{6 }                Reduce by dividing by 2

m=\frac{4 }{3 }               Slope

The slope of the line is 4/3

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Rewrite the expression from part B by distributing -1 from each of the negative numbers.
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Answer:

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Step-by-step explanation:

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3 years ago
Help please. I don’t understand this topic
forsale [732]
The first option is your answer. 

Sigma notation is just a fancy way to shorten a sum of a series of numbers using a set equation. The "n =" tells you where to start in the sequence and the top number tells you where to stop. 
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Suppose that are Yi.....Yn are i.i.d random variables with a Nâ(âμY, Ï^2Y â) distribution. How would the probability density of
svp [43]

Answer:

b. As the sample size â increases, the variance of decreases. â So, the distribution of becomes highly concentrated around.

Step-by-step explanation:

Let : Yi,.... Yn are = i.i.d are random variables. The probability density of the distribution varies along with the sample size. When the sample size changes, the probability density of $E^3$ also changes.

The probability distribution may be defined as the statistical expression which defines the likelihood of any outcome for the discrete random variable and it can be opposed to the continuous random variable.

In the context, when the size of the sample of the distribution size increases, it causes a decrease in the variance and so the distribution becomes highly concentrated around.

5 0
3 years ago
5. Given the following triangle side lengths, identify the triangle as acute, right or obtuse. Show your work.
Roman55 [17]
Refer to the figure shown below.
We shall review each of the three given measurements and decide what type of triangle we have.

Measurement a.
a=3, b=4, c=5.
For a right triangle, c² = a² + b² (Pythagorean theorem)
a² + b² = 3² + 4² = 9 + 16 = 25
c² = 5² = 25
Answer:
This is a right triangle, because c² = a² + b².

Measurement b.
a=5, b=6, c=7.
For an acute triangle, c² < a² + b².
a² + b² = 5² + 6² = 25 + 36 = 61
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Answer:
This is an acute triangle, because c² < a² + b².

Measurement c.
a=8, b=9, c=12.
For an obtuse triangle, c² > a² + b².
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6 0
3 years ago
Read 2 more answers
Someone help me with number 8
Gnesinka [82]

Answer:

The answers are...:

The common ratio is -3

the sequence of the function is 2,-6, 18, -54, 162

and

the sequence of the function model is geometric

I hope this helps ^^"

Step-by-step explanation:

the common ratio is just from the -3 itself

the sequence model is just plugging n for every term so

a(1) would equal to 2, a(2)=-6 , a(3) would equal to -18, etc

and the geometric is bc it has the exponential that has (n-1), thus it is a geometric sequence

6 0
2 years ago
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