Answer:
Step-by-step explanation:
<em>Circumference Formula:</em>
<em>C=2πr</em>
The radius is half of the diameter...
Pi is 
...
Because "y" is + in <span>2x+y=7, let's subtract 2x from both sides and end up with an expression for y: y = 7 - 2x. Substituting this into 5x - 3y = 23,
5x - 3(7 - 2x) = 23. Multiply out -3(7 - 2x):
5x - 21 + 6x = 23. Combining 5x and 6x, 11x - 21 = 23, or 11x = 44.
Thus, x = 4. Since y = 7 - 2x, subst. x = 4 results in the value of y:
y = 7 - 2(4) = 7 - 8 = -1.
The solution is (4,-1).</span>
Factor by grouping.
0 = (x^3 +4x^2) +(9x +36) = x^2(x+4) +9(x+4) = (x^2+9)(x+4)
The first factor is the difference of squares (in complex numbers), so the form for factoring that can be used:
a^2 - b^2 = (a -b)(a +b)
Here, a=x, b=3i.
Then the factorization in complex numbers is
0 = (x -3i)(x +3i)(x +4)
Solutions are the values of x that make these factors be zero.
x = -4, -3i, 3i
Answer: 315/15 gallons
Step-by-step explanation:
You have to divide 315 by 15
Answer:
x + 10
Step-by-step explanation:
