Answer:
-7
Step-by-step explanation:
add them together and that's it
Answer:
x-intercepts: (-4,0) and (-2,0) y-intercepts: (0,-2)
Step-by-step explanation:
<u>x-intercept</u>:
y = |x+1| - 3
0 = |x+1| - 3
3 = |x+1|
The numbers -4 and 2 are the x-intercepts because if you add -4 and 1, you get the absolute value of -3, which is 3. If you add 2 and 1, you get the absolute value of 3, which is 3.
<u>y-intercept</u>:
y = |x+1| - 3
y = |0+1| - 3
y = |1| - 3
y = 1 - 3
y = -2
In order to confirm which of the given above is an identity, what we are going to do is to check them each. By definition, an identity<span> is an equality relation A = B.
After checking each options, the answers that are considered as identities would be options C and D. So here is how we proved it. Let's take option C.
</span><span>cos^2(3x)-sin^2(3x)=cos(6x)
cos^2(3x)-sin^2(3x)=cos(2*3x)
cos^2(3x)-sin^2(3x)=cos(3x+3x)
cos^2(3x)-sin^2(3x)=cos(3x)cos(3x)-sin(3x)sin(3x)
cos^2(3x)-sin^2(3x)=cos^2(3x)-sin^2(3x)
</span>So based on this, we can conclude that <span>cos^2 3x-sin^2 3x=cos6x is an identity.
This is also the same process with option D.
Hope this answer helps.</span>
