The answer of the question is 140. hope i help you ;)
For this case we have the expression:
"the square root of 4" is represented algebraically as:
![\sqrt {4}](https://tex.z-dn.net/?f=%5Csqrt%20%7B4%7D)
Then, we can express the given statement as:
![3 \sqrt {4} -2 \sqrt {4} =](https://tex.z-dn.net/?f=3%20%5Csqrt%20%7B4%7D%20-2%20%5Csqrt%20%7B4%7D%20%3D)
They are similar terms, we can subtract:
![3 \sqrt {4} -2 \sqrt {4} = \sqrt {4} = \sqrt {2 ^ 2}](https://tex.z-dn.net/?f=3%20%5Csqrt%20%7B4%7D%20-2%20%5Csqrt%20%7B4%7D%20%3D%20%5Csqrt%20%7B4%7D%20%3D%20%5Csqrt%20%7B2%20%5E%202%7D)
By definition of power properties we have that:
![\sqrt [n] {a ^ n} = a ^ {\frac {n} {n}} = a](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20n%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bn%7D%20%7Bn%7D%7D%20%3D%20a)
Then the expression is reduced to:
![\sqrt {2 ^ 2} = 2](https://tex.z-dn.net/?f=%5Csqrt%20%7B2%20%5E%202%7D%20%3D%202)
Answer:
![3 \sqrt {4} -2 \sqrt {4} = 2](https://tex.z-dn.net/?f=3%20%5Csqrt%20%7B4%7D%20-2%20%5Csqrt%20%7B4%7D%20%3D%202)
Answer:
x = 11
Step-by-step explanation:
The relationship between the sine and cosine functions can be written as ...
sin(x) = cos(90 -x)
sin(A) = cos(90 -A) = cos(B) . . . . substituting the given values
Equating arguments of the cosine function, we have ...
90 -(3x+4) = 8x -35
86 -3x = 8x -35
86 +35 = 8x +3x . . . . . add 3x+35 to both sides
121 = 11x . . . . . . . . . . . . collect terms
121/11 = x = 11 . . . . . . . . divide by 11
_____
<em>Comment on the solution</em>
There are other applicable relationships between sine and cosine as well. The result is that there are many solutions to this equation. One set is ...
11 +(32 8/11)k . . . for any integer k
Another set is ...
61.8 +72k . . . . . for any integer k
Answer:
see below
Step-by-step explanation:
We want where both inequalities are true
y > -3
-2 >-3 this is true
y ≥ 2/3x -4
-2≥ 2/3*3 -4
-2 ≥ 2 -4
-2≥ -2
This is true
This is is the graph