Answer:
65
Step-by-step explanation:
(4-7i)(4+7i) =16 + 28i-28i -49i^2 ➡16 - 49i^2
16 + 49 = 65
the fault here is i^2= -1 and -1 multiplied by -49 is +49 not -49
Hello there.
<span>Fifty- three students from 32 different schools signed up for a multi-classroom project. About how many students signed up for the project?
</span><span>B. about 1,800 students
</span>
Given:
In a two-digit number, the tens digit is 5 less than the units digit.
The number itself is five more than three times the sum of its digits.
To find:
The number.
Solution:
Let the two digit number is ab. So,
![ab=10a+b](https://tex.z-dn.net/?f=ab%3D10a%2Bb)
Tens digit is 5 less than the units digit.
...(i)
The number itself is five more than three times the sum of its digits.
![10a+b=3(a+b)+5](https://tex.z-dn.net/?f=10a%2Bb%3D3%28a%2Bb%29%2B5)
![10a+b=3a+3b+5](https://tex.z-dn.net/?f=10a%2Bb%3D3a%2B3b%2B5)
![10a+b-3a-3b=5](https://tex.z-dn.net/?f=10a%2Bb-3a-3b%3D5)
...(ii)
Using (i) and (ii), we get
![7(b-5)-2b=5](https://tex.z-dn.net/?f=7%28b-5%29-2b%3D5)
![7b-35-2b=5](https://tex.z-dn.net/?f=7b-35-2b%3D5)
![5b=5+35](https://tex.z-dn.net/?f=5b%3D5%2B35)
![5b=40](https://tex.z-dn.net/?f=5b%3D40)
![b=8](https://tex.z-dn.net/?f=b%3D8)
Putting b=8 in (i), we get
![a=8-5](https://tex.z-dn.net/?f=a%3D8-5)
![a=3](https://tex.z-dn.net/?f=a%3D3)
Therefore, the required number is 38.
Answer:
27
Step-by-step explanation:
So first we need to plug in 5 as the variable a and -7 as the variable b
4(5)-(-7)
Next we multiply the 4 and the 5 together to get 20
4(5) = 20 or 4 x 5 = 20
20-(-7)
Now we subtract negative 7 from 20
20-(-7) = 27
This can also be written as 20 plus 7 as a mathematical rule states: two negatives make a positive. So:
20-(-7) = 20 + 7
Both of these are equivalent in every sense of the word and give us our final answer of 27