Answer:
a 3 + b 3 = (a + b) (a 2 − a b + b 2 ). Substituting a = x and b = 3 into the formula yields: x 3 + 27 = (x + 3) (x 2 − 3 x + 9).
Step-by-step explanation:
The answer would be
Fraction 3/10
Percent 30%
Decimal 0.3
There is 10 parts and it ask for probability of 3 numbers which would be 3/10
Answer:
48
Step-by-step explanation:
=6*[24/4+2]
=6*[6+2]
=6*8
=48
Answer:
x=45
Step-by-step explanation:
Each triangle had 180 degrees in all and the picture shows it has a right angle. 180-90=90
90/2=45
Because there are two angles left without measurement.
<h2>
Answer:</h2>
0 - 17i
<h2>
Step-by-step explanation:</h2>
Given expression;
i⁸⁰ + i³⁸ - i17
To express the expression in the form a+bi;
<em>i. Rewrite the expression such that it contains terms in i²</em>
(i²)⁴⁰ + (i²)¹⁹ - i17
<em>ii. Solve the result from (i) above using the identity i² = -1</em>
We know that the square root of -1 is i. i.e

<em>Squaring both sides gives</em>
<em>=> </em>
<em />
=> -1 = i²
Therefore,
i² = -1
<em>Substitute i² = -1 in step (i) above</em>
(-1)⁴⁰ + (-1)¹⁹ - i17
<em>(iii) Solve the result in (ii)</em>
We know that the when a negative number is raised to the power of an even number, the result is a positive number. If it is raised to the power of an odd number, the result is a negative number. Therefore,
(-1)⁴⁰ + (-1)¹⁹ - i17 becomes
1 + (-1) - i17
0 - i17
<em>(iv) Write the result from (iii) in the form a+bi</em>
0 - 17i