$|z_1|=\sqrt{(-2)^2+3^2}=\sqrt{4+9}=\sqrt{13}\\
|z_2|=\sqrt{1^2+2^2}=\sqrt{1+4}=\sqrt{5}\\\\
z_1+2z_2=-2+3i+2(1+2i)=-2+3i+2+4i=7i\\
|z_1+2z_2|=\sqrt{0^2+7^2}=7

$

5 0

4 years ago

I NEED HELP ASAP!!

bazaltina [42]

The sum of the exterior angles of the triangle is 360

The sum of the exterior angles of the quadrilateral is also 360

The sum of the exterior angles of the pentagon is again 360

Each of the shapes has an exterior angle sum of 360

3 0

3 years ago

Using fermat's little theorem, find the least positive residue of $2^{1000000}$ modulo 17.

torisob [31]

Fermat's little theorem states that
$a^p$ ≡a mod p

If we divide both sides by a, then
$a^{p-1}$ ≡1 mod p
=>
$a^{17-1}$ ≡1 mod 17
$a^{16}$ ≡1 mod 17

Rewrite
$a^{1000000}$ mod 17 as
$=(a^{16})^{62500}$ mod 17
and apply Fermat's little theorem
$=(1)^{62500}$ mod 17
=>
$=(1)$ mod 17

So we conclude that
$a^{1000000}$ ≡1 mod 17

6 0

4 years ago

5+4+3-8+7-6 show steps

alexdok [17]

Answer:

Step-by-step explanation:

5 + 4 + 3 − 8 + 7 − 6

= 9 + 3 − 8 + 7 − 6

= 12 − 8 + 7 − 6

= 4 + 7 − 6

= 11 − 6

= 5

5 0

4 years ago