Answer: 13
Step-by-step explanation:
/ 5 + 12i/ = ![\sqrt{(5 + 12i)(5 + 12i)}](https://tex.z-dn.net/?f=%5Csqrt%7B%285%20%2B%2012i%29%285%20%2B%2012i%29%7D)
= ![\sqrt{25 + 144}](https://tex.z-dn.net/?f=%5Csqrt%7B25%20%2B%20144%7D)
=![\sqrt{169}](https://tex.z-dn.net/?f=%5Csqrt%7B169%7D)
= 13
Answer:
Introducing Apples new, iBurrito
Step-by-step explanation:
Answer:
The correct answer is 333 1/ 3 ml 30% solution and 166 2/ 3 ml of 45% solution.
step-by-step explanation:
Set up 2 equations. Let x be the 30% solution and y be the 45% solution. Then you have x + y =500 and .3x +.45y = .35*500. Then solve the system.
Answer:
Option B is correct.
The expression which is equivalent to
is; ![(n+22)(n+4)](https://tex.z-dn.net/?f=%28n%2B22%29%28n%2B4%29)
Explanation:
Given the equation:
for all values of n.
The quadratic equation in this form; ![ax^2+bx+c =0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%20%3D0)
First find two numbers that multiply to give ac and add to give b.
From the given equation;
a =1 , b = 26 and c =88
then,
the two number that multiply to give ac =88 is, 22 or 4
and they add up to give b=26 (i.e 22+4)
Now, rewrite the middle term i.e 26n with 22n and 4n , we have
![n^2+22n+4n+88=0](https://tex.z-dn.net/?f=n%5E2%2B22n%2B4n%2B88%3D0)
Now, factor the first two terms and last two terms,
![n(n+22)+4(n+22)](https://tex.z-dn.net/?f=n%28n%2B22%29%2B4%28n%2B22%29)
we see that
is common to both terms so, we have;
![(n+22)(n+4)](https://tex.z-dn.net/?f=%28n%2B22%29%28n%2B4%29)
Therefore, the expression
is equivalent to
Check:
(n+4)(n+22) =
=
[ True]
Answer:
770
Step-by-step explanation:
1 100 - 30℅ will give you 770 as your answer