Distance between points
D=
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points are (5, 4) and (−3, −1)
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D=√(-1-4)^2+(-3-5)^2
D=√25+64
D=√89
D=9.433 units
Third one down
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Step-by-step explanation:
Let x=3.
So, f(3-3)=f(3)-f(3), and thus f(0)=0.
Answer:
13. A
14. C.
Step-by-step explanation:
A relation is a function if there is only one y assigned to each x.
That is if you have a set of points, there should be no repeated x value.
So looking at {(0,0),(-2,4),(-2,-4),(-3,7)} this is not a function because you have two x's that are the same. A.
The slope-intercept form of a linear equation is y=mx+b where m is the slope and b is the y-intercept.
The y-intercept is where the graph goes through the y-axis at. It goes through at -1 so b=-1.
The slope is rise/run. So starting from the y-intercept (0,-1) we need to find another point to count the rise & run to... How about (3,1)? That works. You can do the counting if you want. You could also use the slope formula.
To use the slope formula, I just like to line the points up vertically and subtract vertically then put 2nd difference over the 1st difference.
(0,-1)
-(3,1)
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-3 -2
So the slope is -2/-3 or just 2/3.
So the equation is y=2/3 x-1
C.
Answer:
Step-by-step explanation:
To find the LCM of two numbers, factorize both these numbers:
These two numbers have the common factor of 
Now multiply this common factor by the remaining factors:
Therefore, the LCM is 952.
