Two triangles put together can make different shapes. You can have a diamond for instance, or a parallelogram
1. 8(-18d-10) = -144d-80
2. -13+14(-18+10d) = -13-252+140d = -265+140d
3. 15(-7x-3) = -105x-45
The number are quite weird but we have to deal with them.
Answer:
Fraction, decimal, whole number
Step-by-step explanation:
if it has a line, it's a fraction. If it has a dot, it's a decimal. If it has none of the above, it's a whole number
Answer:
x² + 4x - 12, remainder - 60
Step-by-step explanation:
Using synthetic division to divide
Since dividing by x - 1, evaluate for x = 1
1 | 1 3 - 16 - 48
↓ 1 4 - 12
---------------------------
1 4 - 12 - 60 ← degree 2 polynomial
quotient = x² + 4x - 12, remainder = - 60
Hence
= x² + 4x - 12 - 
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>
