Mathematics
29.04.2022 12:14
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How can you represent patterns from everyday life by using tables, expressions,

How can you represent patterns from everyday life by using tables, expressions, and graphs?
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itzia00
itzia00
4,7(84 marks)

"They organize data and can reveal relationships, making it easier to write equations that describe the patterns."

Step-by-step explanation:

Shavaila18
Shavaila18
4,6(54 marks)

x is 3.\overline{72}

Step-by-step explanation:

The given points on the line are;

R(-5, -6), S(1, 5) and T(x, 10)

The number of points required to find the equation of the line = 2 points

The slope, m, of the line using points R(-5, -6) and S(1, 5) is given as follows;

m = (5 - (-6))/(1 - (-5)) = 11/6

The equation of the line in slope and point form, using point S(1, 5) is therefore;

y - 5 = (11/6)·(x - 1) = 11·x/6 - 11/6

y - 5 = 11·x/6 - 11/6, given that the x-value is required, we have;

x = (y - 5 + 11/6) × 6/11 = 6·y/11 - 19/11

x = 6·y/11 - 19/11

At point T(x, 10), y = 10, therefore, we have;

x = 6×10/11 - 19/11 = 41/11 = 3.\overline{72}

x = 3.\overline{72}.

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