Answer:
nonproportional
Step-by-step explanation:
proportional would mean that the y intercept is 0 but it's 3
Answer: Linear
The equation is y = 2x-5
Slope = 2
y intercept = -5
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Explanation:
Each time x goes up by 1, y increases by 2. This directly leads to a linear equation due to the same rate of change no matter where you are in the table.
The slope is rise/run = 2/1 = 2 because "y increases by 2 each time x increases by 1".
We could use the slope formula to see this. Pick on any two rows to plug in the coordinates. I'll use the last two rows
m = (y2-y1)/(x2-x1)
m = (3-1)/(4-3)
m = 2/1
m = 2
This confirms the slope is 2.
The positive slope means that the line goes uphill as you move from left to right.
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The y intercept is b = -5 because the y intercept always happens when x = 0. This applies to any function, whether it's linear or not.
Together with m = 2 as the slope and b = -5 as the y intercept, we go from y = mx+b to y = 2x-5 as our linear equation
As a way to check, plug in something like x = 1 to find that...
y = 2x-5
y = 2*1-5
y = 2-5
y = -3
The table shows that x = 1 and y = -3 pair up together in the same row, so that confirms x = 1. I'll let you verify the other x values.
Answer:
13 cms
Step-by-step explanation:
By Pythagoras:-
x^2 = 12^2 + 5^2
x^2 = 144 + 25
x^2 = 169
x = √169
= 13
Putting the dot points is the second
For any polygon, the formula of the interior angle is 180 - 360/n where n is the number of sides of the polygon. The exterior angle is the supplementary angle of the interior angle. Hence when n is equal to 46, then interior angle is equal to 172.17 degrees and the exterior is equal to 7.83 degrees.
