If it has rational coefients and is a polygon
if a+bi is a root then a-bi is also a root
the roots are -4 and 2+i
so then 2-i must also be a root
if the rots of a poly are r1 and r2 then the factors are
f(x)=(x-r1)(x-r2)
roots are -4 and 2+i and 2-i
f(x)=(x-(-4))(x-(2+i))(x-(2-i))
f(x)=(x+4)(x-2-i)(x-2+i)
expand
f(x)=x³-11x+20
Answer:
a). m∠a = 62°
b). m∠b = 118°
Step-by-step explanation:
a). Since, an angle inscribed in a semicircle is a right angle,
m∠ACB = 90°
By triangle sum theorem in ΔABC,
m∠CAB + m∠ACB + m∠ABC = 180°
28° + 90° + m∠ABC = 180°
118° + m∠ABC = 180°
m∠ABC = 180°- 118°
a = 62°
b). Since, quadrilateral ABCD is a cyclic quadrilateral,
m∠ADC + m∠ABC = 180°
b + a = 180°
b + 62° = 180°
b = 180° - 62°
b = 118°
(1)
(2)
(3)
we can multiply the transition matrix (n-1) times, getting:
(4)
Using the same reason as (2), the system most likely occupy state 1
Answer:
8
Step-by-step explanation:
We have, 25% × x = 200
or,
25
100
× x = 200
Multiplying both sides by 100 and dividing both sides by 25,
we have x = 200 ×
100
25
x = 800
If you are using a calculator, simply enter 200×100÷25, which will give you the answer.
So now that you have the original number you just need to find 1% of 800
1% of 800 is 8
<span>10 pounds of potatoes for $5.50
one pound = $5.50 / 10 = $0.55
answer
it cost 55 cents per pound</span>