Answer:
x = ± 3, x = ± 2i
Step-by-step explanation:
Given
f(x) = (x² + 4)(x² - 9)
To find the zeros let f(x) = 0, that is
(x² + 4)(x² - 9) = 0
Equate each factor to zero and solve for x
x² - 9 = 0 ( add 9 to both sides )
x² = 9 ( take the square root of both sides )
x = ± = ± 3
x² + 4 = 0 ( subtract 4 from both sides )
x² = - 4 ( take the square root of both sides )
x = ± = ± = ± × = ± 2i
Thus zeros are
x = - 3, x = 3 ← real
x = - 2i, x = 2i ← complex
For this case we can model the problem as a rectangle triangle.
We have two sides.
We want to find the hypotenuse of the triangle.
We have then:
h = root ((a) ^ 2 + (b) ^ 2)
Substituting values we have:
h = root ((6) ^ 2 + (8) ^ 2)
h = root (36 + 64)
h = root (100)
h = 10
Answer:
If you could walk straight from one school to the other, the 2 schools would be at:
h = 10 blocks
Answer:
how do I know the best way for a solo Dm to be considered to have a Greek origin in a little while and my peace is Santa
Answer:
D
Step-by-step explanation:
r=8/2=4 ( the radius)
S=2*pi*r(r+h)= 2*3.14*4*(4+8)=2*3.14*4*12=96*3.14=301.44
so D is the closest
Answer:
Correct option: C -> 2
Step-by-step explanation:
The first equation is:
And the second equation is:
From the second equation, we have:
Using this value of y in the first equation, we have:
Calculating the discriminant Delta, we have:
We have , so we have two real values for x, therefore we have two solutions for this system.
Correct option: C.
(If the system of equation is actually:
We would have:
We also have , so we have two solutions for this system.
Correct option: C.)