The Least Common Multiple (LCM) of 0.4 and 7 is: 7
The line rising to the right has equation y = x + 2
and the other one has equation y = -x + 4
the lines are solid so the inequalities will be <= or >=
in both case the shading is below so the sign is <=
also x and Y values are both positive
so the answer is choice C
Answer:
Step-by-step explanation:
A)
the sum of any two sides of a right triangle more than any other side
14+15>29, x is less than 29
14+x>15
x>1
15+x>14
x>-1
1<x<29
lets use Pythagorean Theorem
14^(2)+15^(2)=c^2
196+225=c^2
421=c^2
plusminus sqrt(421)=c
distance can't be negative, so:
c=sqrt(421)
c=20.5182845287
sqrt(421) is the largest possible right triangle side
1<x
sqrt(421)
B) as we can see from above, the largest possible length of the third side is 14/sqrt(421) or about 20.5182845287ft
C)sqrt(421) by 14 by 15
tan(x1)=15/14
x1=tan^-1(15/14)
x1=47 degrees
tan(x2)=14/15
x2=tan^-1(14/15)
x2=43 degrees
Problem 7
Time is always an independent variable because time marches on doing its own thing without depending on external forces, or other people/things. Instead, other variables depend on time. In this case, the distance d depends on the independent variable t for time.
If the time goes up by 1 hour, then the distance variable goes up by 3 miles. In short, that tells us his speed is 3 mph.
Answer: Choice A) independent = time; dependent = distance
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Problem 8
Everywhere you see an x, replace it with 9. Then use PEMDAS to simplify
f(x) = 5x - 9
f(9) = 5(9) - 9 ... x replaced with 9
f(9) = 45 - 9
f(9) = 36
Answer: 36
