-7 and 2 are factors of -14, and they make a sum of -5, therefore:
(x^2-7)(x^2+2)=0
x^=7 or x^=-2
x=√7 or-√7, x=√2i or x=-√2i
Answer:
Degree = 4
Step-by-step explanation:
For the given conditions:
n = 4
i and 5i are zeros
f(-2) = 145
For zeros, it means they are a quadratic factor of the expression
It means, we will have x = ± i and x = ± 5i
therefore, the given factors are (x - i)(x + i)(x - 5i)(x + 5i)
Hence, we have the function
given degree = 4
f(x) = a(x-i)(x+i)(x-5i)(x+5i)
f(x) = a(x² + 1)(x² + 25)
Hence, substituting -2 for x, we have
f(-2) = a(5)(29) = 145
Hence, a = 1
f(x) = x⁴ + 26x² + 25
Therefore, we can see that the given degree = 4
Given statement is False, if a light cost $3, it could be either Green or Yellow.
Converse: If the light bulb was Yellow, then the cost was $3 = True
Contrapositive makes both statements negative and switches the order of the original statement.
So something like: If the light bulb is not yellow, then the cost would not be $3 = False because two colors cost the $3.
Inverse makes both statements negative but keeps the same order.
Something like : If the light bulb did not cost$3 then the light bulb was not yellow = False because two colors cost the $3.
Answer:
true
Step-by-step explanation:
The angle does not matter. Think of it as finding the other side to a triangle. Use
a=39 (line AB)
b=b (the leg we need to find)
c=89 (line BD)
(subtract the 1521 from both sides)
(square root both sides)
b = 80
AD=80
