Use the formula for the volume of a triangular pyramid: V=13Ah , where A = area of the triangular base, and H = height of the pyramid.
The system is inconsistent because the slopes are the same and the lines are different.
A linear equation is of the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Given the following system of equations:
y = 6x + 2 (1)
y = 6x + 1 (2)
We can see that both equations have the same slope of 6 but have different y intercepts.
Hence the system is inconsistent because the slopes are the same and the lines are different.
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Answer:
52
Step-by-step explanation:
S(blue) = S(Whole) - S(cut part)
S(blue) = 7*11 - 5*5 = 77 - 25 = 52
The unit price for option 1 is $0.68 for each candy bar. The unit price for option 2 is $0.60. So you would be getting more candy bars for your money with the second option. I hope this helps!
Answer:
Step-by-step explanation:
What we know is that A + S = 111. That is, the miles Andre drove plus the miles Scott drove totalled 111 miles. What we also know is that Scott drove quite a bit more than Andre did. Scott drove 7 miles more that ( +7 ) 3 times the number of miles Andrea drove. That looks like this algebraically:
S = 3A + 7
Now we can sub in that value for S to the original equation:
If A + S = 111 and S = 3A + 7, then
A + 3A + 7 = 111 and
4A + 7 = 111 and
4A = 104 so
A = 26 and
S = 3(26) + 7 so
S = 85 miles.
Scott drove 85 miles.
would represent the slope of this line (also known as the gradient of this line,) whereas
would be the
-intercept of this line.