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PtichkaEL [24]
3 years ago
9

Write the equation for the following relation. Include all of your work in your final answer. Submit your solution. P = {(x, y):

(1, 0), (2, 4), (3, 8), (4, 12), . . .}
Mathematics
1 answer:
EleoNora [17]3 years ago
3 0
First, we will notice that while the value of x increases by 1, the corresponding value of y increases by 4. This means that this is a linear relation.

The general equation for linear equations is : y = mx + c where m is the slope and c is the y-intercept

To get the slope, we will need to use two points. Let's take the first and the last points: (1,0) and (4,12)
The slope is calculated as: (y2-y1) / (x2-x1)
Use the chosen points to substitute in the equation and get the slope as follows:
m = (12-0) / (4-1) = 12/3 = 4

Now, the equation of the line became: y = 4x + c

The given points all satisfy the equation of the line, we can use any of them to substitute in the equation and get the value of c.
For instance, I will use the first point: (1,0)
y = 4x + c
0 = 4(1) + c
c = -4

The equation of the line is:
y = 4x - 4

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Check step-by-step explanation

Step-by-step explanation:

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Step-by-step explanation:

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Find the missing value when given the modulus.
kolbaska11 [484]

Solving the complex number, we get the value of the missing value that is ‘a’ = -6

We  have been given the expression as

          |a – i| = √37          (1)

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    z = x + iy

 where x is the real part and iy is the imaginary part

To find the modulus value, the formula is given by,

  |z| = |x + iy|

   |z| = √[(real part)2 + (imaginary part)2]

 |z| = √(x2 + y2)

According to the question, |z| = √37         (2)

Equating equation (1) and (2), we get

√(a2 + 1) = √37

(a2 + 1) = 37

a2 = 37 – 1

a2 = 36

a = √36

a = ±6

Now value of a can be 6 or -6. We have been given that the modulus is in third quadrant.

Hence the value will be negative. Therefore, the missing value will be -6.

Learn more about complex number here : brainly.com/question/5564133

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1 year ago
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Step-by-step explanation:

As corresponding lines are equal

16x+1 = 79

16x = 80

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2 years ago
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