Answer:
![\huge\boxed{\tan x=\dfrac{\sin x}{\cos x}}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5Ctan%20x%3D%5Cdfrac%7B%5Csin%20x%7D%7B%5Ccos%20x%7D%7D)
Step-by-step explanation:
![\tan x\cos x=\sin x\\\\\tan x=\dfrac{\sin x}{\cos x}\\\\\text{Therefore}\\\\\tan x\cos x=\dfrac{\sin x}{\cos x}\cdot\cos x\qquad\text{cancel}\ \cos x\\\\\tan x\cos x=\sin x\\\\\text{For}\ x\neq\dfrac{\pi}{2}+k\pi},\ k\in\mathbb{Z}](https://tex.z-dn.net/?f=%5Ctan%20x%5Ccos%20x%3D%5Csin%20x%5C%5C%5C%5C%5Ctan%20x%3D%5Cdfrac%7B%5Csin%20x%7D%7B%5Ccos%20x%7D%5C%5C%5C%5C%5Ctext%7BTherefore%7D%5C%5C%5C%5C%5Ctan%20x%5Ccos%20x%3D%5Cdfrac%7B%5Csin%20x%7D%7B%5Ccos%20x%7D%5Ccdot%5Ccos%20x%5Cqquad%5Ctext%7Bcancel%7D%5C%20%5Ccos%20x%5C%5C%5C%5C%5Ctan%20x%5Ccos%20x%3D%5Csin%20x%5C%5C%5C%5C%5Ctext%7BFor%7D%5C%20x%5Cneq%5Cdfrac%7B%5Cpi%7D%7B2%7D%2Bk%5Cpi%7D%2C%5C%20k%5Cin%5Cmathbb%7BZ%7D)
The legs are defined by
. The Hypotenuse if defined by
. The perimeter is defined by:
![p(x) = h(x)+2\cdot L(x) \\~\\p(x) = L(x)\cdot\sqrt{2} +2\cdot L(x) \\~\\p(x) = L(x)\cdot\left(\sqrt{2}+2\right) \\~\\p(x) = 2x\cdot\left(\sqrt{2}+2\right) \\~\\p(x)= 2\sqrt{2}x+4x](https://tex.z-dn.net/?f=p%28x%29%20%3D%20h%28x%29%2B2%5Ccdot%20L%28x%29%20%5C%5C~%5C%5Cp%28x%29%20%3D%20L%28x%29%5Ccdot%5Csqrt%7B2%7D%20%2B2%5Ccdot%20L%28x%29%20%5C%5C~%5C%5Cp%28x%29%20%3D%20L%28x%29%5Ccdot%5Cleft%28%5Csqrt%7B2%7D%2B2%5Cright%29%20%5C%5C~%5C%5Cp%28x%29%20%3D%202x%5Ccdot%5Cleft%28%5Csqrt%7B2%7D%2B2%5Cright%29%20%5C%5C~%5C%5Cp%28x%29%3D%202%5Csqrt%7B2%7Dx%2B4x)
D. P(x) = 2x √2 + 4x
Answer:
(4, - 1)
(-1, 6)
Step-by-step explanation:
Given the expression :
3x+y<14
Test the opprions to find out the true statement.
(7, - 7)
3(7) + (-7) < 14
21 - 7 < 14
15 < 14 (not true)
(-1, 6)
3(-1) + 6 < 14
3 + 6 < 14
9 < 14 ( true)
(3, 6)
3(3) + 6 < 14
9 + 6 < 14 ( not true)
(4, - 1)
3(4) - 1 < 14
12 - 1 < 14 ( true)
(6,0)
3(6) + 0 < 14
18 < 14 ( not true)
Answer: 87/13
Step-by-step explanation: You take you 5 and times it by 13 and + 9 because the equation is saying 13/13 5 times plus the 9/13,
So 6*13 = 78 78+9=87 and then you take the 87 and put it over the 13,
So, now you have your answer: 87/13
Answer:
C. It would be shifted up.
Step-by-step explanation:
We base it off the y-intercept. Since -7 is <em>less</em><em> </em><em>than</em><em> </em>1, and our new function has a positive y-intercept, it would indeed be shifted up.
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