Answer:
Step-by-step explanation:
One of the more obvious "connections" between linear equations is the presence of the same two variables (e. g., x and y) in these equations.
Assuming that your two equations are distinct (neither is merely a multiple of the other), we can use the "elimination by addition and subtraction" method to eliminate one variable, leaving us with an equation in one variable, solve this 1-variable (e. g., in x) equation, and then use the resulting value in the other equation to find the value of the other variable (e. g., y). By doing this we find a unique solution (a, b) that satisfies both original equations. Not only that, but also this solution (a, b) will also satisfy both of the original linear equations.
I urge you to think about what you mean by "analyze connections."
Answer:
329.5
Step-by-step explanation:
From the table we see that the common difference d = 0.5 - (-6.5)
= 7, and 7.5 - 0.5 = 7. Also 14.5 - 7.5 = 7.
The first term a1 = -6.5.
The nth term = a1 + (n - 1)d so for our sequence we have:
49th term = -6.5 + (49 - 1)7
= -6.5 + 48 * 7
= -6.5 + 336
= 329.5 (answer).
Answer:
1232 m^3 to nearest whole number.
Step-by-step explanation:
The volume of a cone = 1/3 π r^2 h where r = radius of base and h = height.
The radius of the base = 1/2 * 14 = 7m.
The height can be found by using the Pythagoras theorem:
25^2 = h^2 + 7^2
h^2 = 625 - 49 = 576
h = √576 = 24m
So the volume = 1/3 π * 7^2 * 24
= 1231.504 m^3.
Answer:
Decrease
Step-by-step explanation:
It gets smaller because it is 100% is full size, so less would make it smaller
