Answer:
x=
1/2
and y=3
Step-by-step explanation:
Let's solve your system by substitution.
y=10x−2;2x+y=4
Step: Solvey=10x−2for y:
y=10x−2
Step: Substitute10x−2foryin2x+y=4:
2x+y=4
2x+10x−2=4
12x−2=4(Simplify both sides of the equation)
12x−2+2=4+2(Add 2 to both sides)
12x=6
12x
12
=
6
12
(Divide both sides by 12)
x=
1
2
Step: Substitute
1
2
forxiny=10x−2:
y=10x−2
y=10(
1
2
)−2
y=3(Simplify both sides of the equation)
Answer:
x=
1
/2
and y
De Moivre's theorem uses this general formula z = r(cos α + i<span> sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.
For 1) </span>[3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes
[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))]
it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/<span>√2 i
and that is the answer.
For 2) </span>[2(cos(40))+isin(40)]^6, we apply the same steps in 1)
[2^6(cos(40*6))+isin(40*6)],
[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)
And the answer is -32 -32 √3 i
Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i
202,752 inches are in 3.2 miles.
Answer:
3n-1
Step-by-step explanation:
(4n+4) - (n+5)
i sperate it to be
4n-n and 4-5
so
3n-1 should be it
