Are the set of all square numbers under 50 and the set of all triangular numbers that are less than 50 disjoint?
1 answer:
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Answer:
Step-by-step explanation:
slope intercept form is y = mx + b
b is the y intercept ( crossing y axis value).... by inspection b = -4
m is the slope of the line, Slope = m = 1/4 note: the slope is positive
the slope equals the 'rise' over 'run'
if the line moves up the slope is positive, if the line moves down the slope is negative
the rise is how many y units does the line go 'up' or 'down'
the run is how many x units does the line go 'left' or 'right'
the rise = 1 Y unit
the run = 4 X units
y = mx + b m =1/4 b = -4
y = (1/4)x + (-4)
y = (1/4)x - 4
graph a line stating at y = -4 and going up (rising) to the right ONE Y Unit for every FOUR X units (the run)
Step 1: Given
Step 2: Distributive Property
Step 3: Addition Property of Equality
Step 4: Division Property of Equality
Step-by-step explanation:
We need to match the reason with the correct step in the equation.
Equation:
Given:
Applying Distributive property a(b+c)=ab+ac
Now, Applying addition property of equality:
Adding +4x on both sides
Now, Applying Division property of Equality:
Divide both sides by 6:
So, Answer will be:
Step 1: Given
Step 2: Distributive Property
Step 3: Addition Property of Equality
Step 4: Division Property of Equality
Keywords: Solving Equations
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