Hey I feel, I had the same issue. Here's the thing, math doesn't always make sense. Just remember that anything that has to do with circles (like cones) utalizes the radius, not the entire diameter
The general form would be:
where 'a' is responsible for the magnitude of the function, 'b' is responsible for horizontal shift.and 'c' is responsible for vertical shift of the function.
Your answer would be:
Looks like choice A
Answer:
The expression equal to 2x^(2)+8 is:
First option (2x-4i)(x+2i)
Step-by-step explanation:
If we multiply
(2x-4i)(x+2i)=(2x)(x)+(2x)(2i)-(4i)(x)-4i(2i)
(2x-4i)(x+2i)=2x^(1+1)+4xi-4xi-8i^(1+1)
Simplifying:
(2x-4i)(x+2i)=2x^2-8i^2
and i^2=-1, then:
(2x-4i)(x+2i)=2x^2-8(-1)
Multiplying:
(2x-4i)(x+2i)=2x^2+8
Answer:
h(5) = - 22
Step-by-step explanation:
Given that h is a linear function say, h(x) = ax + b ......... (1)
Now, given that h(1) = 10 and h(3) = - 6
Hence, we can write from equation (1), a(1) + b = 10, ⇒ a + b = 10 .......... (2)
And a(3) + b = - 6, ⇒ 3a + b = - 6 ........ (3)
Now, solving equations (2) and (3) we get (3a - a) = - 6 - 10
⇒ 2a = - 16
⇒ a = - 8
So, from equation (2), we get, b = 10 - a = 18
Therefore, the linear function is
h(x) = - 8x + 18
Hence, h(5) = - 8(5) + 18 = - 22 (Answer)
1 - cos 2 x = 1 - ( cos² x - sin² x ) = 1 - cos² x + sin² x = sin² x + sin² x =
= 2 sin² x
=
- √2 cos x + C
