Answer:
Simplify: ![(\sin(x) -\cos(x))^2](https://tex.z-dn.net/?f=%28%5Csin%28x%29%20-%5Ccos%28x%29%29%5E2)
Use identity rule:
![(a-b)^2 = a^2+b^2-2ab](https://tex.z-dn.net/?f=%28a-b%29%5E2%20%3D%20a%5E2%2Bb%5E2-2ab)
Using this rule:
![\sin^2(x)+\cos^2(x)-2\sin(x)\cos(x)](https://tex.z-dn.net/?f=%5Csin%5E2%28x%29%2B%5Ccos%5E2%28x%29-2%5Csin%28x%29%5Ccos%28x%29)
Using trigonometric identities rules:
then;
Apply the trigonometric identity rule:
![1-2\sin(x)\cos(x)](https://tex.z-dn.net/?f=1-2%5Csin%28x%29%5Ccos%28x%29)
or
![1-\sin 2(x)](https://tex.z-dn.net/?f=1-%5Csin%202%28x%29)
Therefore, the simplified form of
is ![1-\sin 2(x)](https://tex.z-dn.net/?f=1-%5Csin%202%28x%29)
Let x be the common ratio / or scale factor
the sides of the triangle are
5x, 12x and 13x
sum of the sides defines perimeter
that is
5x + 12x + 13x = 15
30x = 15
x = 15/30
x = 0.5
The sides of the triangle are 0.5(5) = 2.5
0.5(12)=6
0.5(13) = 6.5
2.5, 6, 6.5 all in inches
Answer:
i think its 2
Step-by-step explanation:
my teacher did this
-5x = - 7 because -6x plus x is -5x and use elimination to get rid of the -3y so you end up with -5x = -7
Answer:
3/2
Step-by-step explanation:
A couple of different methods are used for dividing fractions.
1. "Invert and multiply". Dividing by a number is the same as multiplying by its reciprocal:
(3/4) / (1/2) = (3/4) × (2/1)
= (3·2)/(4·1) = 6/4 = 3/2
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2. Make the denominators the same and use the ratio of numerators.
(3/4) / (1/2) = (3/4) / (2/4) = 3/2
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For these fractions, you can recognize that 3/4 is 1/4 more than 1/2, and that 1/4 is half of 1/2. That means 3/4 is half-again as much as 1/2, so is 1 1/2 = 3/2 times 1/2. This tells you the ratio (3/4) : (1/2) = 3/2.
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Along the lines of the above, you can write the ratio as ...
(3/4) : (1/2)
and multiply by 4 to get
= (3/4)×4 : (1/2)×4 = 3 : 2