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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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<img src="https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7BE%7D%7B%20%5Csqrt%7BR%20%7B%7D%5E%7B2%7D%20%2B%20W%20%7B%7D%5E%7B2%7D%20L%
AleksandrR [38]

Answer:

R = sqrt[(IWL)^2/(E^2 - I^2)] or R = -sqrt[(IWL)^2/(E^2 - I^2)]

Step-by-step explanation:

Squaring both sides of equation:

     I^2 = (ER)^2/(R^2 + (WL)^2)

<=>(ER)^2 = (I^2)*(R^2 + (WL)^2)

<=>(ER)^2 - (IR)^2 = (IWL)^2

<=> R^2(E^2 - I^2) = (IWL)^2

<=> R^2 = (IWL)^2/(E^2 - I^2)

<=> R = sqrt[(IWL)^2/(E^2 - I^2)] or R = -sqrt[(IWL)^2/(E^2 - I^2)]

Hope this helps!

7 0
3 years ago
Which of the following statements is true ? a. 0÷15=0 b. 15-0=0 c.15+0=0 d.15÷0=0
max2010maxim [7]
A, because you if you try to divide 0 into 15 parts you get 0
4 0
3 years ago
Read 2 more answers
Please show steps in solving: B/3 + B/4 + B/6 =
alexandr1967 [171]

Answer:

= 3b/4

Step-by-step explanation:

= b . 4/12 + b . 3/12 + b . 2/12

Apply the fraction rule: a/c + b/c = a + b/c

= b . 4 + b . 3 + b . 2/12

= 4b + 3b + 2b/12

Add similar elements: 4b + 3b + 2b = 9b

= 9b/12

Cancel 9b/12: 3b/4

= 3b/4

5 0
3 years ago
One of the legs of a right triangle measures 2 cm and its hypotenuse measures 18 cm.
denpristay [2]

Answer:

17.9

Step-by-step explanation:

4 0
2 years ago
What is an equation of the line that passes through the point (4, -1) and has
Nuetrik [128]

Answer:

y + 1 = -5(x - 4)

y + 1 = -5x + 20

y = -5x + 19

8 0
3 years ago
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