Sum of 2 perfect cubes
a³+b³=(a+b)(x²-xy+y²)
so
x³+4³=(x+4)(x²-4x+16)
set each to zero
x+4=0
x=-4
the other one can't be solveed using conventional means
use quadratic formula
for
ax^2+bx+c=0
x=
for x²-4x+16=0
x=
x=
x=
x=
x=
x=
the roots are
x=-4 and 2+2i√3 and 2-2i√3
The two angles are 155 degrees and 25 degrees
<h3><u>
Solution:</u></h3>
Given that two supplementary angles are in ratio 31 : 5
Let the first angle be 31a
Let the second angle be 5a
Two Angles are Supplementary when they add up to 180 degrees.
Therefore,
first angle + second angle = 180 degrees
<em><u>Therefore the angles are:</u></em>
first angle = 31a = 31(5) = 155 degrees
second angle = 5a = 5(5) = 25 degrees
Thus the two angles are 155 degrees and 25 degrees
294 miles per 14 gallons = 21 miles per 1 gallon
Answer:
Dr Cash/Bank $2,250
Cr Account Receivable $2,250
Step-by-step explanation:
At the time the transaction was carried out, that is the previous month, the accounting entries was a debit to account receivable (client account) and a credit to sales account. which is as shown below:
<em>Dr Account Receivable $2,250</em>
<em>Cr Sales $2,250</em>
<em>Being sales on credit to a client.</em>
The client account will have an outstanding debit balance of <em>$2,250 </em>until payment is made. once payment is made, the following entries will be made to ensure no outstanding balance in the client account.
Dr Cash/Bank $2,250
Cr Account Receivable $2,250.
Answer:
Step-by-step explanation:
Simplifying
-3a + 8 = 2z + -12
Reorder the terms:
8 + -3a = 2z + -12
Reorder the terms:
8 + -3a = -12 + 2z
Solving
8 + -3a = -12 + 2z
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + -3a = -12 + -8 + 2z
Combine like terms: 8 + -8 = 0
0 + -3a = -12 + -8 + 2z
-3a = -12 + -8 + 2z
Combine like terms: -12 + -8 = -20
-3a = -20 + 2z
Divide each side by '-3'.
a = 6.666666667 + -0.6666666667z
Simplifying
a = 6.666666667 + -0.6666666667z
