<span>Combinations. This is because in combinations the order does not matter
</span>
Answer:
![1+ 0i](https://tex.z-dn.net/?f=1%2B%200i)
Step-by-step explanation:
A complex number is a number which has some real part and some imaginary part.
Standard form of a complex number is represented as
![a +bi](https://tex.z-dn.net/?f=a%20%2Bbi)
Where
is the real part,
and
is the imaginary part.
And ![i = \sqrt{-1}](https://tex.z-dn.net/?f=i%20%3D%20%5Csqrt%7B-1%7D)
Given complex number:
![-4i+\dfrac{1}{4}-5i)-(-\dfrac{3}{4}+8i)+17i\\\Rightarrow -4i+\dfrac{1}{4}-5i + \dfrac{3}{4}-8i+17i\\\Rightarrow \dfrac{3}{4}+\dfrac{1}{4}-4i -5i-8i+17i\\\Rightarrow \dfrac{3+1}{4}-17i+17i\\\Rightarrow \dfrac{4}{4}+0i\\\Rightarrow 1 + 0i](https://tex.z-dn.net/?f=-4i%2B%5Cdfrac%7B1%7D%7B4%7D-5i%29-%28-%5Cdfrac%7B3%7D%7B4%7D%2B8i%29%2B17i%5C%5C%5CRightarrow%20-4i%2B%5Cdfrac%7B1%7D%7B4%7D-5i%20%2B%20%5Cdfrac%7B3%7D%7B4%7D-8i%2B17i%5C%5C%5CRightarrow%20%20%5Cdfrac%7B3%7D%7B4%7D%2B%5Cdfrac%7B1%7D%7B4%7D-4i%20-5i-8i%2B17i%5C%5C%5CRightarrow%20%20%5Cdfrac%7B3%2B1%7D%7B4%7D-17i%2B17i%5C%5C%5CRightarrow%20%5Cdfrac%7B4%7D%7B4%7D%2B0i%5C%5C%5CRightarrow%201%20%2B%200i)
Hence, the standard form is
.
Answer:
4√10
Step-by-step explanation:
Hello!
Let's first simplify the radical.
We can do this by expanding the radical:
We need to pull out a perfect square factor to expand a radical and simplify it. In 45, we have 9 and 5 multiplied, and 9 is a perfect square.
Let's work with √45:
- √45 can be written as √9 * √5 (using the rule √ab = √a * √b)
- √9 simplifies to 3, so it is 3√5
Now we can simplify the operation in the parenthesis by combining like terms:
- 3√5 + √5
- √5 + √5 + √5 + √5
- 4√5
Now using the same rule as above, we can multiply the values:
Your solution is 4√10
Answer:
y > 24 − 3x
Step-by-step explanation:
Step 1: First, you need to factor out the common term 2.
2 (3x + y) > 48
Step 2: Then, you divide both sides by 2.
![3x+y>\frac{42}{2}](https://tex.z-dn.net/?f=3x%2By%3E%5Cfrac%7B42%7D%7B2%7D)
Step 3: Next, you have to simplify
into 24.
3x + y > 24
Step 4: Lastly, subtract 3x from both sides and you're done!
y > 24 − 3x
B is the answer my dad is a mathematician he confirmed