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OLga [1]
3 years ago
13

What is the slope of the line that passes through the points A(-2, -1) and D(3,5) ?

Mathematics
1 answer:
Rasek [7]3 years ago
7 0

Answer:  y = 1.2x + 1.4

Step-by-step explanation:

1. Write down the coordinates of the first point. Let's assume it is a point with x₁ = -2and y₁ = -1.

2. Write down the coordinates of the second point as well. Let's take a point with x₂ = 3 and y₂ = 5.

3. Use the slope intercept formula to find the slope:

m = (y₂ - y₁)/(x₂ - x₁) = (5-1)/(3-2) = 4/1 = 1.2

4. Calculate the y-intercept. You can also use x₂ and y₂ instead of x₁ and y₁ here.

b = y₁ - m * x₁ = -1 - 1.2*-2 = 1.4

5. Put all these values together to construct the slope intercept form of a linear equation:

y = 1.2x + 1.4

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Can someone help me with this I dont understand
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<h3>How to identify the source and range of the signal?</h3>

Remember that a circle of radius R, centered at the point (a, b) is described by the equation:

(x - a)^2 + (y - b)^2 = R^2

In this case, we have the equation:

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First, notice that 49 = 7², so we can rewrite:

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2 years ago
Maxim and Salma were asked to find an explicit formula for the sequence 54,63,72,81,... Maxim said the formula is f(n)=54+9n Sal
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ANSWER

The explicit rule is

f(n) = 45+9n

EXPLANATION

The given sequence is :

54,63,72,81,...

The first term of this sequence is

a = 54

The common difference is

d =63 - 54 = 9

The explicit rule is given by:

f(n) = a + d(n - 1)f(n) = 54+9(n -1 )

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f(n) = 54+9n -9

f(n) = 45+9n

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The test scores of a geometry class are given below. 90, 75, 72, 88, 85 The teacher wants to find the variance for the class pop
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The data given as a whole would be called ungrouped data. Now to get the variance, you will need the formula:

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                   n      

x = raw data
mean = average of all data
n = no. of observations
s^2 = variance

Now we do not have the mean yet, so you have to solve for it. All you need to do is add up all the data and divide it by the number of observations. 

Data: <span>90, 75, 72, 88, 85        n= 5  
</span>Mean=<u>Σx</u>
            n
Mean = <u>90+75+72+88+85 </u>  = <u>410</u> = 82
                        5                        5

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The firs column will be your raw data or x, the second column will be your mean and the third will be the difference between the raw data and the mean and the fourth column will be the difference raised to two. 

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90       82                8                      64                       
75       82               -7                      49
72       82              -10                    100
88       82                6                       36
85       82                3                       9

Now that you have a table, you will need the sum of (x-mean)^2 because the sigma sign Σ in statistics, means "the sum of."

64+49+100+36+9 = 258

This will be the answer to your question. The value of the numerator of the calculation will be 258.

 
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