Answer:
Equivalent systems of equations review
Step-by-step explanation:
We're given two systems of equations and asked if they're equivalent.
x + 4y = 8 (1)
4x + y = 2 (2)
Interestingly, if we sum the equations in System A, we get:


Replacing the first equation in System A with this new equation, we get a system that's equivalent to System A:


This is System B, which means that System A is equivalent to System B.
Answer:

Step-by-step explanation:
AC is the geometric mean. Solve it using this proportion:

Now fill in the values we know:

Cross multiply to get

That means that
AC =
, which, in decimal form is
AC = 11.40175425
Keep your mom, you only have one. But anyway;
Use the Pythagorean Theorem: A^2 + B^2 = C^2
12^2 + 21^2 = C^2
144 + 441 = C^2
585 = C^2
square root of 585 = approximately 24.2
This is the order from smallest to greatest: -10,-5,0,5,10